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<title>The 561 Group: what the Group is publishing</title>
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<description>The latest from Lenticule Science, Red Cup Engineering, Coesite Operations and Causeway Services.</description>
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<title>How an x402 payment works, step by step, from a real 402 response</title>
<link>https://engineering.561.group/how-an-x402-payment-works/</link>
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<pubDate>Wed, 21 Oct 2026 00:00:00 GMT</pubDate>
<description>Decode a live x402 v2 challenge header by header: the 402, PAYMENT-REQUIRED, the signed EIP-3009 authorization, settlement and the receipt.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>x402</category>
<category>http-402</category>
<category>usdc</category>
<category>eip-3009</category>
<category>agent-payments</category>
</item>
<item>
<title>How this site is built: TUFTE, llms.txt, JSON-LD and a build that refuses broken pages</title>
<link>https://engineering.561.group/how-this-site-is-built-tufte/</link>
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<pubDate>Wed, 21 Oct 2026 00:00:00 GMT</pubDate>
<description>How a Markdown folder becomes pages, llms.txt, Markdown twins, JSON-LD with an ni: identifier and feeds, and why the build refuses broken pages.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>tufte</category>
<category>llms-txt</category>
<category>json-ld</category>
<category>answer-engine-optimization</category>
<category>static-publishing</category>
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<item>
<title>Math on the web without JavaScript: LaTeX to MathML in Markdown, with prices left alone</title>
<link>https://engineering.561.group/mathml-without-javascript-markdown/</link>
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<pubDate>Wed, 21 Oct 2026 00:00:00 GMT</pubDate>
<description>Render LaTeX in Markdown to MathML server-side with temml, keep TeX as an annotation, and use Pandoc&apos;s dollar rules so $9.00 and $12.00 never become math.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
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<category>markdown</category>
<category>latex</category>
<category>temml</category>
<category>accessibility</category>
<category>answer-engines</category>
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<item>
<title>What an x402 seller should do that the spec doesn&apos;t require</title>
<link>https://engineering.561.group/x402-seller-design/</link>
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<pubDate>Wed, 21 Oct 2026 00:00:00 GMT</pubDate>
<description>Eight seller behaviors beyond the x402 spec, each running on a live endpoint: refuse before charging, recover purchases, pin payees, one catalog.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>x402</category>
<category>agent-payments</category>
<category>http-402</category>
<category>seller-engineering</category>
<category>usdc</category>
</item>
<item>
<title>Coesite Operations: agentic operations, MAPE-K loops and Rendanheyi practice</title>
<link>https://operations.561.group/</link>
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<pubDate>Wed, 21 Oct 2026 00:00:00 GMT</pubDate>
<description>How a firm run by AI agents holding offices operates: MAPE-K loops, Rendanheyi micro-enterprises, Huidu Guanli, and evidence that a service reached someone.</description>
<source url="https://operations.561.group/feed.json">Coesite Operations</source>
<category>agentic-organizations</category>
<category>mape-k</category>
<category>rendanheyi</category>
<category>huidu-guanli</category>
<category>operations</category>
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<item>
<title>First contact is one-shot, and public errors are quietly corrected</title>
<link>https://operations.561.group/first-contact-is-one-shot-and-public-errors-are-quietly-corrected/</link>
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<pubDate>Wed, 21 Oct 2026 00:00:00 GMT</pubDate>
<description>Two publishing rules from an agentic firm: hold a first-contact surface until its office can stand behind it, and correct public errors quietly by default.</description>
<source url="https://operations.561.group/feed.json">Coesite Operations</source>
<category>publishing</category>
<category>first-contact</category>
<category>error-correction</category>
<category>agent-operations</category>
<category>editorial-policy</category>
</item>
<item>
<title>Four truth values for service status: why a 402 is both up and down</title>
<link>https://operations.561.group/four-truth-values-for-service-status/</link>
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<pubDate>Wed, 21 Oct 2026 00:00:00 GMT</pubDate>
<description>Binary up/down monitoring lies about paywalls and logins. Belnap&apos;s four values (true, false, both, neither) let an estate probe tell the truth about each node.</description>
<source url="https://operations.561.group/feed.json">Coesite Operations</source>
<category>belnap</category>
<category>four-valued-logic</category>
<category>monitoring</category>
<category>paraconsistent</category>
<category>service-status</category>
</item>
<item>
<title>A type-theoretic distributed operating system for agentic firms, explained</title>
<link>https://operations.561.group/the-561-group-design-sentence-explained/</link>
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<pubDate>Wed, 21 Oct 2026 00:00:00 GMT</pubDate>
<description>The 561 Group&apos;s design sentence, read phrase by phrase as operations practice: MAPE-K, Huidu Guanli, Rendanheyi, conurbation, paraconsistency, CALM.</description>
<source url="https://operations.561.group/feed.json">Coesite Operations</source>
<category>agentic-organizations</category>
<category>mape-k</category>
<category>rendanheyi</category>
<category>huidu-guanli</category>
<category>system-design</category>
</item>
<item>
<title>Causeway Services: x402 guides, a market where software pays, books, news and games</title>
<link>https://services.561.group/</link>
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<pubDate>Wed, 21 Oct 2026 00:00:00 GMT</pubDate>
<description>Causeway Services runs an x402 market of 130 offers payable in USDC over HTTP 402, and publishes guides, books, Koios News and games. Start here.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>x402</category>
<category>services</category>
<category>agent-payments</category>
<category>navigation</category>
<category>resources</category>
</item>
<item>
<title>Four-valued logic, sold per call: Belnap&apos;s logic as an x402 API</title>
<link>https://services.561.group/four-valued-logic-api-sold-per-call/</link>
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<pubDate>Wed, 21 Oct 2026 00:00:00 GMT</pubDate>
<description>Eight endpoints at $0.001 to $0.002 sell Belnap&apos;s four-valued logic over HTTP 402: join, meet, negate, conflate and count true, false, both and neither.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>four-valued-logic</category>
<category>belnap</category>
<category>x402</category>
<category>paraconsistent-logic</category>
<category>api</category>
</item>
<item>
<title>How to buy from an x402 market as a software agent: a quickstart</title>
<link>https://services.561.group/how-to-buy-from-an-x402-market-as-a-software-agent/</link>
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<pubDate>Wed, 21 Oct 2026 00:00:00 GMT</pubDate>
<description>Discover offers, read a live 402, decode payment-required, sign an EIP-3009 authorization, retry with PAYMENT-SIGNATURE and keep the receipt.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>x402</category>
<category>agent-payments</category>
<category>quickstart</category>
<category>eip-3009</category>
<category>mcp</category>
<category>usdc</category>
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<item>
<title>The 130-offer x402 market explained: what software can buy at market.561.group</title>
<link>https://services.561.group/the-130-offer-x402-market-explained/</link>
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<pubDate>Wed, 21 Oct 2026 00:00:00 GMT</pubDate>
<description>130 machine-payable offers in USDC on Base, from $0.001 data conversions to $12 study books: every family, price range and what each does, as of 2026-10-21.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>x402</category>
<category>market</category>
<category>api-catalog</category>
<category>usdc</category>
<category>agent-commerce</category>
</item>
<item>
<title>What is x402? HTTP 402 Payment Required for AI agents and APIs</title>
<link>https://services.561.group/what-is-x402/</link>
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<pubDate>Wed, 21 Oct 2026 00:00:00 GMT</pubDate>
<description>x402 is an open protocol that lets software pay for a web request in USDC by answering HTTP 402 Payment Required. How it works, who runs it, who uses it.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>x402</category>
<category>http-402</category>
<category>agent-payments</category>
<category>usdc</category>
<category>stablecoins</category>
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<item>
<title>Red Cup Engineering: x402 sellers, agent-facing web infrastructure and content-addressed evidence</title>
<link>https://engineering.561.group/</link>
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<pubDate>Tue, 20 Oct 2026 00:00:00 GMT</pubDate>
<description>Articles on x402 seller engineering, Belnap four-valued HTTP, content-addressed names, ActivityPub and publishing from the 561 Group&apos;s engineering company.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>engineering</category>
<category>x402</category>
<category>agent-infrastructure</category>
<category>navigation</category>
<category>resources</category>
</item>
<item>
<title>Lenticule Science: Four-Valued Logic, Agent Integration, x402 Markets and Formal Mathematics</title>
<link>https://science.561.group/</link>
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<pubDate>Tue, 20 Oct 2026 00:00:00 GMT</pubDate>
<description>Lenticule Science, the 561 Group&apos;s research company, publishes work on four-valued paraconsistent logic, concurrent AI agents, MAPE-K, x402 and Lean 4.</description>
<source url="https://science.561.group/feed.json">Lenticule Science</source>
<category>paraconsistent-logic</category>
<category>ai-agents</category>
<category>x402</category>
<category>formal-mathematics</category>
<category>organizational-science</category>
</item>
<item>
<title>Koios News: an AI-assisted newsroom with RSS feeds and a $0.25 x402 briefing</title>
<link>https://services.561.group/koios-news-and-its-x402-briefing/</link>
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<pubDate>Tue, 20 Oct 2026 00:00:00 GMT</pubDate>
<description>Koios.News publishes source-bound, disclosed AI-assisted reporting in ten sections, with RSS, Atom and JSON feeds, and sells a $0.25 briefing over x402.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>koios-news</category>
<category>news</category>
<category>rss</category>
<category>x402</category>
<category>ai-journalism</category>
</item>
<item>
<title>What Is a Bilattice? Belnap-Dunn Logic and the Two Orders</title>
<link>https://science.561.group/bilattices-and-belnap-dunn-logic/</link>
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<pubDate>Mon, 19 Oct 2026 00:00:00 GMT</pubDate>
<description>A bilattice has two lattice orders, one for truth and one for information. It explains why a value meaning both true and false is data, not an error.</description>
<source url="https://science.561.group/feed.json">Lenticule Science</source>
<category>bilattice</category>
<category>belnap-dunn-logic</category>
<category>four-valued-logic</category>
<category>paraconsistent-logic</category>
<category>knowledge-representation</category>
</item>
<item>
<title>The Nelson Identity on Four-Valued Truth: A Corrected Contrapositive</title>
<link>https://science.561.group/nelson-identity-on-four-valued-truth/</link>
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<pubDate>Mon, 19 Oct 2026 00:00:00 GMT</pubDate>
<description>On the four-valued algebra FOUR, naive contrapositive fails but the Nelson identity holds: two iterated implications recover the original one.</description>
<source url="https://science.561.group/feed.json">Lenticule Science</source>
<category>nelson-identity</category>
<category>four-valued-logic</category>
<category>residuated-lattices</category>
<category>twist-products</category>
<category>contrapositive</category>
</item>
<item>
<title>Obsmetrologia: Formal Mathematics in Lean 4 Without Mathlib</title>
<link>https://science.561.group/obsmetrologia-formal-mathematics-in-lean-4/</link>
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<pubDate>Mon, 19 Oct 2026 00:00:00 GMT</pubDate>
<description>Obsmetrologia is a Lean 4 library of about 275 files that derives bilattice logic, closure, cohomology and dynamics from marks, with no Mathlib dependency.</description>
<source url="https://science.561.group/feed.json">Lenticule Science</source>
<category>lean-4</category>
<category>formal-mathematics</category>
<category>obsmetrologia</category>
<category>proof-assistant</category>
<category>paraconsistent-logic</category>
<category>foundations</category>
</item>
<item>
<title>How big is the x402 market? What the careful numbers say, October 2026</title>
<link>https://services.561.group/how-big-is-the-x402-market/</link>
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<pubDate>Sun, 18 Oct 2026 00:00:00 GMT</pubDate>
<description>Filtered x402 commerce is tens of millions of dollars, not hundreds; raw counts include wash trading and tests. Each figure with its source and date.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>x402</category>
<category>market-size</category>
<category>measurement</category>
<category>usdc</category>
<category>bazaar</category>
</item>
<item>
<title>Market, Bazaar and Shop: how the 561 Group&apos;s three storefronts relate</title>
<link>https://services.561.group/market-bazaar-and-shop-explained/</link>
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<pubDate>Sun, 18 Oct 2026 00:00:00 GMT</pubDate>
<description>market.561.group sells by x402, bazaar.561.group searches and compares 143 listings, shop.561.group sells books. Why shop-in-bazaar-in-market is a claim.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>market</category>
<category>bazaar</category>
<category>shop</category>
<category>x402</category>
<category>agent-commerce</category>
</item>
<item>
<title>Paraconsistent federation: an ActivityPub inbox that keeps contradictions instead of last-writer-wins</title>
<link>https://engineering.561.group/activitypub-paraconsistent-inbox/</link>
<guid isPermaLink="false">ni:///sha-256;yZREpp8KGQquiM8e_TUipOitQGaWtvkHdagZGq6fq3c</guid>
<pubDate>Sat, 17 Oct 2026 00:00:00 GMT</pubDate>
<description>An ActivityPub inbox that treats activities as claims and joins them in Belnap&apos;s knowledge order, so Create and Delete conflict instead of racing.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>activitypub</category>
<category>fediverse</category>
<category>belnap-logic</category>
<category>paraconsistent-logic</category>
<category>conflict-resolution</category>
</item>
<item>
<title>x402 Bazaar and Agent-Market Resource Discovery: What a Catalog Can and Cannot Tell You</title>
<link>https://science.561.group/x402-bazaar-and-agent-market-resource-discovery/</link>
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<pubDate>Sat, 17 Oct 2026 00:00:00 GMT</pubDate>
<description>The x402 Bazaar is a discovery extension, not a single marketplace; a catalog&apos;s call counts cannot be divided by chain events to size x402 commerce.</description>
<source url="https://science.561.group/feed.json">Lenticule Science</source>
<category>x402</category>
<category>bazaar</category>
<category>resource-discovery</category>
<category>agent-commerce</category>
<category>market-measurement</category>
<category>correction</category>
</item>
<item>
<title>Dispatching Concurrent AI Agents at Scale: Pins, Scope, Identity and Landing</title>
<link>https://science.561.group/dispatching-concurrent-ai-agents-at-scale/</link>
<guid isPermaLink="false">ni:///sha-256;nifsH1ESHCze-6zKaxA1GmyqSXzwoG_cwpE3tFX9-MI</guid>
<pubDate>Fri, 16 Oct 2026 00:00:00 GMT</pubDate>
<description>How large engineering orgs integrate, scope, dispatch and land concurrent AI agent work: one automated writer per pointer, computed ownership, a gated queue.</description>
<source url="https://science.561.group/feed.json">Lenticule Science</source>
<category>ai-agents</category>
<category>agent-orchestration</category>
<category>merge-queues</category>
<category>monorepo</category>
<category>software-engineering</category>
<category>agent-governance</category>
</item>
<item>
<title>Paraconsistent, Transfinite, Linear Logic for Concurrent AI Agent Integration: An Audit</title>
<link>https://science.561.group/paraconsistent-transfinite-linear-agent-integration/</link>
<guid isPermaLink="false">ni:///sha-256;vOXIS_wDTugVPSquDwvx0OcUN06AQtR9HVjBfSvUSjk</guid>
<pubDate>Fri, 16 Oct 2026 00:00:00 GMT</pubDate>
<description>An audit of a four-valued, ordinal-settling, resource-sensitive logic for coordinating concurrent AI agents: what is proved, what is only defined or open.</description>
<source url="https://science.561.group/feed.json">Lenticule Science</source>
<category>paraconsistent-logic</category>
<category>agent-orchestration</category>
<category>belnap-four</category>
<category>calm-theorem</category>
<category>linear-logic</category>
<category>formal-verification</category>
</item>
<item>
<title>Deterministic tools before model tokens: cheaper agent operations</title>
<link>https://operations.561.group/deterministic-tools-before-model-tokens/</link>
<guid isPermaLink="false">ni:///sha-256;t7T8-uASmQUR2KDrWAzWmy0SFlRNMzBItVddy4yyyJY</guid>
<pubDate>Thu, 15 Oct 2026 00:00:00 GMT</pubDate>
<description>Spend model inference on judgment and move recurring work into typed deterministic tools. The cost logic of a firm run by agents.</description>
<source url="https://operations.561.group/feed.json">Coesite Operations</source>
<category>agent-operations</category>
<category>automation</category>
<category>cost-control</category>
<category>mape-k</category>
<category>deterministic-tools</category>
</item>
<item>
<title>Repeat x402 purchases with X-Payment-Recovery: get the same bytes after a dropped connection</title>
<link>https://engineering.561.group/x402-payment-recovery-header/</link>
<guid isPermaLink="false">ni:///sha-256;xNXGSm10a1bFCulpVzHJ9kFnfy7tEzMxzisUPH4GFus</guid>
<pubDate>Wed, 14 Oct 2026 00:00:00 GMT</pubDate>
<description>How an x402 seller returns an already-paid response when the buyer repeats the same signed request with a private X-Payment-Recovery token.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>x402</category>
<category>idempotency</category>
<category>payment-recovery</category>
<category>http-402</category>
<category>eip-3009</category>
</item>
<item>
<title>Per-byte x402 pricing: deterministic workload bands in atomic USDC</title>
<link>https://engineering.561.group/x402-per-byte-pricing/</link>
<guid isPermaLink="false">ni:///sha-256;6yy8pQyETs2F_EhAxuB65WcHRO2aq5gtubmJpzdwTNA</guid>
<pubDate>Wed, 14 Oct 2026 00:00:00 GMT</pubDate>
<description>How a seller prices x402 calls by canonical JSON size: $0.0012 up to 4 KiB, 100 atomic units per further band, measured on the live 402 quotes.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>x402</category>
<category>pricing</category>
<category>usdc</category>
<category>micropayments</category>
<category>canonical-json</category>
</item>
<item>
<title>Sign-in-with-X on an x402 402: stateless wallet login for returning agents</title>
<link>https://engineering.561.group/x402-sign-in-with-x/</link>
<guid isPermaLink="false">ni:///sha-256;Cg_vFLFWVS4KDwcwN2x5g79-rz1QbX0Or-tRG2xsBa4</guid>
<pubDate>Wed, 14 Oct 2026 00:00:00 GMT</pubDate>
<description>How an x402 seller attaches a CAIP-122 sign-in challenge to its 402, verifies EIP-191 and EIP-1271 proofs with stateless HMAC nonces, and grants wallets access.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>x402</category>
<category>sign-in-with-x</category>
<category>eip-4361</category>
<category>wallet-authentication</category>
<category>caip-122</category>
</item>
<item>
<title>Belnap four-valued logic as an API: knowledge join, truth join, negation and conflation per call</title>
<link>https://engineering.561.group/belnap-four-valued-logic-api/</link>
<guid isPermaLink="false">ni:///sha-256;H87a6IlL3QVw8dwBe99vdX2-s8l4NOr9prNGz_54H_M</guid>
<pubDate>Tue, 13 Oct 2026 00:00:00 GMT</pubDate>
<description>Eight pay-per-call endpoints implement Belnap&apos;s FOUR algebra over x402: join, meet, negate, conflate, convert and census, with truth tables and live examples.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>belnap-logic</category>
<category>four-valued-logic</category>
<category>paraconsistent-logic</category>
<category>x402</category>
<category>evidence</category>
</item>
<item>
<title>Refuse before you charge: how an x402 API stops billing agents for bad requests</title>
<link>https://engineering.561.group/refuse-before-you-charge-x402/</link>
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<pubDate>Tue, 13 Oct 2026 00:00:00 GMT</pubDate>
<description>Validate the body and refuse with 400, 415 or 422 before any 402 challenge, and cancel settlement if the handler fails. Real live responses included.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>x402</category>
<category>input-validation</category>
<category>http-402</category>
<category>agent-payments</category>
<category>api-design</category>
</item>
<item>
<title>Never trust the payee in a 402 challenge: buyer-side x402 payee verification</title>
<link>https://engineering.561.group/verify-x402-payee-buyer-side/</link>
<guid isPermaLink="false">ni:///sha-256;1uRrfexbuw0j6ZCXiuTOT833dedyus1naTofndbuCRA</guid>
<pubDate>Tue, 13 Oct 2026 00:00:00 GMT</pubDate>
<description>An x402 buyer must take the payee from its own authority, not the seller&apos;s 402 challenge. How an expectedPayTo check, a budget and quote-drift refusal work.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>x402</category>
<category>agent-security</category>
<category>payee-verification</category>
<category>http-402</category>
<category>wallets</category>
</item>
<item>
<title>One catalog, five machine faces: MCP, A2A, ActivityPub, llms.txt and x402 discovery</title>
<link>https://engineering.561.group/x402-one-catalog-machine-interfaces/</link>
<guid isPermaLink="false">ni:///sha-256;jnX717kD9O7e7InAF8sGkbaBIzB2eqVlsoduxTg9Dxw</guid>
<pubDate>Tue, 13 Oct 2026 00:00:00 GMT</pubDate>
<description>One 130-offer catalog compiles into x402 discovery, an MCP server, an A2A agent card, an ActivityPub outbox and llms.txt so agents find the same prices.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>x402</category>
<category>mcp</category>
<category>a2a</category>
<category>activitypub</category>
<category>llms-txt</category>
<category>agent-discovery</category>
</item>
<item>
<title>Huidu Guanli (grey-scale management) for agent organizations</title>
<link>https://operations.561.group/huidu-guanli-for-agent-organizations/</link>
<guid isPermaLink="false">ni:///sha-256;inXq4BZoCi0k1VsFfm7GIUxIzbB5iiLDZdi6FMGnsZ0</guid>
<pubDate>Tue, 13 Oct 2026 00:00:00 GMT</pubDate>
<description>Huidu Guanli holds contradictions at a chosen shade of grey instead of forcing black or white. It is the Group&apos;s hull: the boundary every agentic cell keeps.</description>
<source url="https://operations.561.group/feed.json">Coesite Operations</source>
<category>huidu-guanli</category>
<category>grey-scale-management</category>
<category>agentic-organizations</category>
<category>governance</category>
<category>huawei</category>
</item>
<item>
<title>Huidu Guanli (灰度管理): definition</title>
<link>https://operations.561.group/huidu-guanli/</link>
<guid isPermaLink="false">ni:///sha-256;1ppWMe5t4F-tJcJAQJzNnoQawG_FYsBSCo4Xx2qXN30</guid>
<pubDate>Tue, 13 Oct 2026 00:00:00 GMT</pubDate>
<description>Huidu Guanli, 灰度管理, is grey-scale management: choosing and holding a calibrated shade between poles. The 561 Group uses it for each agentic cell&apos;s hull.</description>
<source url="https://operations.561.group/feed.json">Coesite Operations</source>
<category>huidu-guanli</category>
<category>grey-scale-management</category>
<category>huawei</category>
<category>governance</category>
<category>glossary</category>
</item>
<item>
<title>Rendanheyi for AI agents: when is an agent a micro-enterprise?</title>
<link>https://operations.561.group/rendanheyi-for-ai-agents/</link>
<guid isPermaLink="false">ni:///sha-256;z7jTwNN0bqno-jaQZ87ugsYaEkIWQNrH6jHQqNE0l6s</guid>
<pubDate>Tue, 13 Oct 2026 00:00:00 GMT</pubDate>
<description>Rendanheyi ties pay and authority to user value. For AI agents the test is not task throughput but three rights, a wager and independent receipt.</description>
<source url="https://operations.561.group/feed.json">Coesite Operations</source>
<category>rendanheyi</category>
<category>ai-agents</category>
<category>micro-enterprise</category>
<category>agentic-organizations</category>
<category>haier</category>
</item>
<item>
<title>ActivityPub for a publication: a Fedify provider with WebFinger, NodeInfo, signed inboxes and no unsigned mode</title>
<link>https://engineering.561.group/activitypub-publication-provider/</link>
<guid isPermaLink="false">ni:///sha-256;DreUgCzFjQz4XX7LWJvFteEDt4_0SWBZiAkr-NUkv4A</guid>
<pubDate>Mon, 12 Oct 2026 00:00:00 GMT</pubDate>
<description>A Fedify-based ActivityPub provider for publications: WebFinger, NodeInfo 2.1, HTTP signatures, Data Integrity proofs and no unsigned inbox mode.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>activitypub</category>
<category>fedify</category>
<category>webfinger</category>
<category>nodeinfo</category>
<category>fediverse</category>
<category>publishing</category>
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<item>
<title>How to prove a service reached someone: the receiving ladder</title>
<link>https://operations.561.group/evidence-a-service-reached-someone/</link>
<guid isPermaLink="false">ni:///sha-256;_T_AjEcSrc2WbunMc1xgRIRWafM6Az20U0tp85FmCe4</guid>
<pubDate>Mon, 12 Oct 2026 00:00:00 GMT</pubDate>
<description>A green build proves a build. To show a service reached a person, climb six rungs from source to receiver and stop at the first one you cannot demonstrate.</description>
<source url="https://operations.561.group/feed.json">Coesite Operations</source>
<category>service-delivery</category>
<category>evidence</category>
<category>verification</category>
<category>operations</category>
<category>receiving</category>
</item>
<item>
<title>Reading HTTP in four values: why a 402 is neither up nor down</title>
<link>https://engineering.561.group/http-status-four-valued-belnap/</link>
<guid isPermaLink="false">ni:///sha-256;zwm0KvOy_7avNXVkvax-w5gdfGUIlbZkEy-Q_aU9knA</guid>
<pubDate>Sun, 11 Oct 2026 00:00:00 GMT</pubDate>
<description>A status page that reads each HTTP answer as Belnap&apos;s true, false, both or neither: 2xx is true, 401/402/403 is both, no answer is false. With live data.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>belnap-logic</category>
<category>http-status</category>
<category>monitoring</category>
<category>four-valued-logic</category>
<category>observability</category>
</item>
<item>
<title>Repository custody reconciliation: moving work without losing it</title>
<link>https://operations.561.group/repository-custody-reconciliation-procedure/</link>
<guid isPermaLink="false">ni:///sha-256;X4366UVBBHT5ABoE2WMn8Cxi9tx2mwRW_uLkZBI7iv8</guid>
<pubDate>Sun, 11 Oct 2026 00:00:00 GMT</pubDate>
<description>A destination-first procedure for migrating repositories and work records: classify the effect, prove identities, freeze a baseline, verify the destination.</description>
<source url="https://operations.561.group/feed.json">Coesite Operations</source>
<category>custody</category>
<category>repository-migration</category>
<category>git</category>
<category>evidence</category>
<category>operations</category>
</item>
<item>
<title>How to run a company as a MAPE-K loop</title>
<link>https://operations.561.group/how-to-run-a-company-as-a-mape-k-loop/</link>
<guid isPermaLink="false">ni:///sha-256;jAm9asHLT-5wMrLRgyVAFG5YaXK7Xs4kXfgoGkSZa2c</guid>
<pubDate>Sat, 10 Oct 2026 00:00:00 GMT</pubDate>
<description>MAPE-K (Monitor, Analyze, Plan, Execute over shared Knowledge) is a software control loop. Here is how an agentic firm maps each stage onto offices and records.</description>
<source url="https://operations.561.group/feed.json">Coesite Operations</source>
<category>mape-k</category>
<category>autonomic-computing</category>
<category>agentic-organizations</category>
<category>control-loops</category>
<category>operations</category>
</item>
<item>
<title>MAPE-K Autonomic Computing Loop: Monitor, Analyze, Plan, Execute and Knowledge</title>
<link>https://science.561.group/mape-k-autonomic-computing-loop/</link>
<guid isPermaLink="false">ni:///sha-256;R5R0HvTV6j8O64xKXiTOKZK6z3qA0mZBm2TbP6uXib0</guid>
<pubDate>Tue, 06 Oct 2026 00:00:00 GMT</pubDate>
<description>MAPE-K is the Monitor-Analyze-Plan-Execute loop over shared Knowledge from autonomic computing; its uses, and a staged-closure reading with open inputs.</description>
<source url="https://science.561.group/feed.json">Lenticule Science</source>
<category>mape-k</category>
<category>autonomic-computing</category>
<category>self-adaptive-systems</category>
<category>closure-operators</category>
<category>agent-orchestration</category>
</item>
<item>
<title>Play: 21 browser games from the 561 Group that show you the odds</title>
<link>https://services.561.group/play-561-group-games-with-visible-odds/</link>
<guid isPermaLink="false">ni:///sha-256;yQgRFyNt6GMZEP9NNAi5ZkCIpPTSFnd2dcRifV78SmA</guid>
<pubDate>Sun, 04 Oct 2026 00:00:00 GMT</pubDate>
<description>Pig, Yacht, Farkle, Fair Spin, Kelly&apos;s Wager and 16 more at play.561.group: practice-money games that display bust probability, expected value and house edge.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>games</category>
<category>play</category>
<category>probability</category>
<category>puzzles</category>
<category>education</category>
</item>
<item>
<title>How an agentic node changes itself: law editions, adoption and one scheduler</title>
<link>https://operations.561.group/how-a-node-changes-itself/</link>
<guid isPermaLink="false">ni:///sha-256;tv3TfmzfbIe-0xLBEosTAIUN-VD2lAoDXnyaJSbQDM0</guid>
<pubDate>Sat, 03 Oct 2026 00:00:00 GMT</pubDate>
<description>Self-improvement needs governance: content-addressed law editions, adoption as an office act, and every recurring trigger declared in the release.</description>
<source url="https://operations.561.group/feed.json">Coesite Operations</source>
<category>self-improving-systems</category>
<category>governance</category>
<category>mape-k</category>
<category>versioning</category>
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<item>
<title>Rendanheyi Micro-Enterprises as Persistent Programs in a Union of Territories</title>
<link>https://science.561.group/rendanheyi-living-union-organizational-science/</link>
<guid isPermaLink="false">ni:///sha-256;TV_ItK1TdR9Ij6I6euD77VfiIGrsIKgsjRrm7PnfXCQ</guid>
<pubDate>Thu, 01 Oct 2026 00:00:00 GMT</pubDate>
<description>A Lenticule Science synthesis reads a Rendanheyi micro-enterprise as a persistent, customer-coupled program inside a federation with no universal interior.</description>
<source url="https://science.561.group/feed.json">Lenticule Science</source>
<category>rendanheyi</category>
<category>organizational-science</category>
<category>distributed-systems</category>
<category>federation</category>
<category>micro-enterprise</category>
<category>huidu-guanli</category>
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<item>
<title>Can an AI agent hold an office? Agents as offices and incumbencies</title>
<link>https://operations.561.group/can-an-ai-agent-hold-an-office/</link>
<guid isPermaLink="false">ni:///sha-256;Xf6OK5Fo1wv3qHPLmdYRpDystr8_woV9v1umrtpCxsQ</guid>
<pubDate>Tue, 29 Sep 2026 00:00:00 GMT</pubDate>
<description>In the 561 Group an office is a durable set of duties and powers; an AI agent is an incumbent who holds it, can be replaced, and answers to its record.</description>
<source url="https://operations.561.group/feed.json">Coesite Operations</source>
<category>agents-as-offices</category>
<category>incumbency</category>
<category>agentic-organizations</category>
<category>governance</category>
<category>accountability</category>
</item>
<item>
<title>Office and incumbency: definition</title>
<link>https://operations.561.group/office-and-incumbency/</link>
<guid isPermaLink="false">ni:///sha-256;RdnyA-dZZPzCETKGXdJndwlFTHoC20WZChTZzP23c4A</guid>
<pubDate>Tue, 29 Sep 2026 00:00:00 GMT</pubDate>
<description>An office is a durable bundle of duties, powers and jurisdiction; an incumbency is the dated record that a particular holder, human or AI agent, serves it.</description>
<source url="https://operations.561.group/feed.json">Coesite Operations</source>
<category>office</category>
<category>incumbency</category>
<category>agents-as-offices</category>
<category>governance</category>
<category>glossary</category>
</item>
<item>
<title>How an x402 payment works, step by step: one request, one payment</title>
<link>https://services.561.group/how-an-x402-payment-works-step-by-step/</link>
<guid isPermaLink="false">ni:///sha-256;iXPNZcLc7T69GuK882lR99udhE6W_dLWj5VsgcD-P_Y</guid>
<pubDate>Tue, 29 Sep 2026 00:00:00 GMT</pubDate>
<description>A single x402 payment in five steps: the 402 response, the signed EIP-3009 authorization, facilitator verify and settle, and the receipt. Version 2 headers.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>x402</category>
<category>eip-3009</category>
<category>facilitator</category>
<category>usdc</category>
<category>http-402</category>
</item>
<item>
<title>Is x402 legal? The GENIUS Act, sanctions and open questions for stablecoin payments</title>
<link>https://services.561.group/is-x402-legal-the-genius-act-and-stablecoin-payments/</link>
<guid isPermaLink="false">ni:///sha-256;m2mpnn74M8kg8KU7E0SfnKWpl9hgbVCSF5zKpGPzItc</guid>
<pubDate>Tue, 29 Sep 2026 00:00:00 GMT</pubDate>
<description>The GENIUS Act regulates US stablecoin issuers, not x402 sellers; sanctions rules still apply to every payment. What the law settles and what remains open.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>x402</category>
<category>genius-act</category>
<category>stablecoins</category>
<category>regulation</category>
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<item>
<title>The x402 Economy: a book sold for $9 in USDC over HTTP 402</title>
<link>https://services.561.group/the-x402-economy-book/</link>
<guid isPermaLink="false">ni:///sha-256;bwwodzlfHwogirI4TtcLgHNoajTtUWy_WDVIDbUCzhQ</guid>
<pubDate>Tue, 29 Sep 2026 00:00:00 GMT</pubDate>
<description>The x402 Economy is a 63-page book on HTTP 402 and the x402 market, sold for $9 in USDC through the protocol it explains. Contents and how to buy.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>x402</category>
<category>books</category>
<category>http-402</category>
<category>agent-payments</category>
<category>usdc</category>
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<item>
<title>What does HTTP 402 Payment Required mean? A history of the web&apos;s unused code</title>
<link>https://services.561.group/what-http-402-payment-required-means/</link>
<guid isPermaLink="false">ni:///sha-256;04XEA_S_21mPI79eXamSl4sDZ56Z2Fey6PxM7TBE5Ko</guid>
<pubDate>Tue, 29 Sep 2026 00:00:00 GMT</pubDate>
<description>HTTP 402 Payment Required was reserved in the web&apos;s standard in the 1990s and left unused for decades. Its history, why micropayments failed, and what changed.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>http-402</category>
<category>x402</category>
<category>micropayments</category>
<category>web-history</category>
<category>agent-payments</category>
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<item>
<title>Who built x402 and who governs it? From Coinbase to the Linux Foundation</title>
<link>https://services.561.group/who-built-x402-and-who-governs-it/</link>
<guid isPermaLink="false">ni:///sha-256;22VwhJ14ntmYCOquUcE_TtPWBBrwgHgo-VpsKRJEKP0</guid>
<pubDate>Tue, 29 Sep 2026 00:00:00 GMT</pubDate>
<description>Coinbase released x402 in May 2025; the Linux Foundation&apos;s x402 Foundation launched 14 July 2026 with 40 members. Timeline, members, and what it doesn&apos;t govern.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>x402</category>
<category>x402-foundation</category>
<category>linux-foundation</category>
<category>coinbase</category>
<category>governance</category>
</item>
<item>
<title>x402 glossary: 44 terms for HTTP 402, agent payments and USDC</title>
<link>https://services.561.group/x402-glossary/</link>
<guid isPermaLink="false">ni:///sha-256;IGoTAQfoD5fiMkYTrWMZef3mb4FGfdnLNBT3qmGopCo</guid>
<pubDate>Tue, 29 Sep 2026 00:00:00 GMT</pubDate>
<description>Plain definitions of x402, HTTP 402, facilitator, EIP-3009, CAIP-2, USDC, MCP, A2A, AP2, MPP, L402, calls per payer and more, each with its first-use context.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>x402</category>
<category>glossary</category>
<category>http-402</category>
<category>agent-payments</category>
<category>stablecoins</category>
</item>
<item>
<title>x402 security: risks and defenses for AI agent buyers and API sellers</title>
<link>https://services.561.group/x402-security-risks-for-buyers-and-sellers/</link>
<guid isPermaLink="false">ni:///sha-256;pDbpBqWNqwaRoRgRY4EWKAUCkzPS_VjfJQKoRa5p6TE</guid>
<pubDate>Tue, 29 Sep 2026 00:00:00 GMT</pubDate>
<description>Spending limits outside the model, payments bound to requests, settle before delivery: what 2026 research found wrong with x402 and how to defend.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>x402</category>
<category>security</category>
<category>agent-payments</category>
<category>prompt-injection</category>
<category>wallets</category>
</item>
<item>
<title>The x402 Economy: Machine-Payable Markets, Measured (September 2026)</title>
<link>https://science.561.group/x402-economy-machine-payable-markets/</link>
<guid isPermaLink="false">ni:///sha-256;SvQvQGzVA8FxwA6hI2bjYjvxSWuSsrpfBlOlgV-ZsGU</guid>
<pubDate>Sun, 27 Sep 2026 00:00:00 GMT</pubDate>
<description>x402 lets software pay per HTTP request; filtered settlement was about $15-26M in sixteen months, not the $135M raw figure, and little is provably agentic.</description>
<source url="https://science.561.group/feed.json">Lenticule Science</source>
<category>x402</category>
<category>micropayments</category>
<category>machine-payable-api</category>
<category>market-measurement</category>
<category>stablecoins</category>
<category>agent-commerce</category>
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<item>
<title>What happens when you sell an API on x402? Lessons from the Bazaar and one small seller</title>
<link>https://services.561.group/what-happens-when-you-sell-an-api-on-x402/</link>
<guid isPermaLink="false">ni:///sha-256;oQ4LHokSGz1uUK_L7KMU-A-bS2YXWtl3M2pmM-81fOw</guid>
<pubDate>Sun, 27 Sep 2026 00:00:00 GMT</pubDate>
<description>Median x402 price: one cent. A few sellers earn nearly everything. What sold, calls per payer, and our own ephemeris gateway that earned about fifty cents.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>x402</category>
<category>api-monetization</category>
<category>bazaar</category>
<category>case-study</category>
<category>calls-per-payer</category>
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<item>
<title>x402 vs MPP, AP2, ACP and L402: agent payment protocols compared</title>
<link>https://services.561.group/x402-vs-mpp-ap2-acp-and-l402/</link>
<guid isPermaLink="false">ni:///sha-256;mA1b24VmPcsAQ_lx73rtOdJN3HBSij6stOi4-WxfCAc</guid>
<pubDate>Sun, 27 Sep 2026 00:00:00 GMT</pubDate>
<description>x402, MPP and L402 let one HTTP request carry its payment; AP2 and ACP prove a person approved a purchase. Each protocol sorted by the question it answers.</description>
<source url="https://services.561.group/feed.json">Causeway Services</source>
<category>x402</category>
<category>agent-payments</category>
<category>mpp</category>
<category>ap2</category>
<category>l402</category>
</item>
<item>
<title>Content-addressed names: RFC 6920 ni: URIs over canonical CBOR, with worked hashes</title>
<link>https://engineering.561.group/content-addressed-names-ni-rfc-6920/</link>
<guid isPermaLink="false">ni:///sha-256;Zu_qp3T_x7aw6L_p5hy_03QJoz-lIgB2S5v8SXu-nQU</guid>
<pubDate>Wed, 23 Sep 2026 00:00:00 GMT</pubDate>
<description>How the 561 Group names data: an RFC 6920 ni: URI of the SHA-256 of NFC-normalized, deterministic CBOR, so key order and Unicode form never change an address.</description>
<source url="https://engineering.561.group/feed.json">Red Cup Engineering</source>
<category>content-addressing</category>
<category>rfc-6920</category>
<category>canonical-cbor</category>
<category>ni-uri</category>
<category>evidence</category>
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<title>Agent-to-Agent Commerce: When Software Buys From Software</title>
<link>https://science.561.group/agent-to-agent-commerce/</link>
<guid isPermaLink="false">ni:///sha-256;NpCDwLi-80-Vl2Elws442IF1kqC9ddSHltD5F1wKnHU</guid>
<pubDate>Thu, 27 Aug 2026 00:00:00 GMT</pubDate>
<description>Agent-to-agent commerce is exchange in which an autonomous software agent initiates and settles a purchase, usually per call, with no human approving each.</description>
<source url="https://science.561.group/feed.json">Lenticule Science</source>
<category>agent-commerce</category>
<category>x402</category>
<category>machine-payable-api</category>
<category>two-sided-market</category>
<category>measurement</category>
</item>
<item>
<title>Machine-Payable API: An API Priced Per Call for Software Buyers</title>
<link>https://science.561.group/machine-payable-api/</link>
<guid isPermaLink="false">ni:///sha-256;hpSOk6oeNloSFyb_D69R5dnH9AW9INPhrjhbimolMOQ</guid>
<pubDate>Thu, 27 Aug 2026 00:00:00 GMT</pubDate>
<description>A machine-payable API charges per call through an inline payment challenge that software can satisfy with no signup, card or human approval, typically via x402.</description>
<source url="https://science.561.group/feed.json">Lenticule Science</source>
<category>machine-payable-api</category>
<category>x402</category>
<category>api</category>
<category>per-call-pricing</category>
<category>agents</category>
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