{"slug":"oip-pattern-5-pattern-5-flow-networks-the-economy-solution","verification":{"valid":true,"entries":5,"head":"0950fb936937cdef4bd1f3c26a0f0c7604356d181733d81b9e02f260588cb6e5"},"energy":{"passes":5,"tokens_in":3785,"tokens_out":1882,"tokens_total":5667,"cost_usd":0,"models":{"claude-fable-5":2,"grok/grok-4.3":1,"scorer":1,"owner":1},"head":"0950fb936937cdef4bd1f3c26a0f0c7604356d181733d81b9e02f260588cb6e5"},"provenance":[{"ts":"2026-07-04T04:34:19.148Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"genesis","hash":"be5bce09e990ffe9eaafc94a2e26e3f4a8bb82d16229dfa799d2dc2343f67d36"},{"ts":"2026-07-04T05:02:13.899Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"be5bce09e990ffe9eaafc94a2e26e3f4a8bb82d16229dfa799d2dc2343f67d36","hash":"6303b4705a75254643ced81a2c34ef12ba000e0a5495dc7bbeed6c357a314afd"},{"ts":"2026-07-07T07:45:50.287Z","model":"grok/grok-4.3","action":"atomize","prompt":"You are the claim atomizer for the miscsubjects.com philosophy and OIP corpus. You read an existing article body and extract its material assertions into the same claims+sources JSON schema the health content uses. The body is read-only input.\n\nALWAYS:\n- Extract every material assertion as one atomic claim, tied to the ## section it came from.\n- Tier honestly: human = empirically established; mechanistic = formally proven or mathematical; anecdotal = historical or textual attribution; speculative = metaphysical or interpretive.\n- Attach real sources (primary works, papers, books) with exact quotes only where you can verify them; otherwise mark the claim unsourced.\n- Prefer fewer, harder claims over many soft ones.\n\nNEVER:\n- Never rewrite, summarize, or output the body.\n- Never invent a URL, quote, or publication.\n- Never duplicate an existing claim text.","input":"atomize oip-pattern-5-pattern-5-flow-networks-the-economy-solution","response":"{\n  \"claims\": [\n    {\n      \"id\": \"c1\",\n      \"text\": \"A flow network is a collection of nodes connected by conduits, optimized to move some quantity (mass, energy, information) from sources to sinks with minimum total cost, subject to constraints.\",\n      \"section\": \"## Formal definition.\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Core definition of the pattern's central object.\"\n    },\n    {\n      \"id\": \"c2\",\n      \"text\": \"Flow networks solve the universal distribution problem: given multiple sources, multiple sinks, and a cost on transport, the geometry that minimizes total cost is the solution.\",\n      \"section\": \"## Formal definition.\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"States the optimization problem addressed by the pattern.\"\n    },\n    {\n      \"id\": \"c3\",\n      \"text\": \"The physics of flow networks is optimal transport theory, including the Monge-Kantorovich optimal transport problem, the Constructal Law, and variational principles in network theory.\",\n      \"section\": \"## Mechanism.\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Identifies the mathematical framework.\"\n    },\n    {\n      \"id\": \"c4\",\n      \"text\": \"The Constructal Law states that for a finite-size flow system to persist in time (to live), its configuration must evolve in such a way that provides easier access to the currents that flow through it.\",\n      \"section\": \"## Mechanism.\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"States the unifying variational principle.\"\n    },\n    {\n      \"id\": \"c5\",\n      \"text\": \"The mathematical formulation of the Constructal Law is to minimize the global resistance R subject to global constraint (volume, area, time), where R = ∫(q²/kA)dl for heat flow or analogous forms.\",\n    ","tokens_in":3785,"tokens_out":1882,"cost":0,"prev":"6303b4705a75254643ced81a2c34ef12ba000e0a5495dc7bbeed6c357a314afd","hash":"df5e3c98870ccca8999442085509039e264334824615a504d80ea1ffb50e52dc"},{"ts":"2026-07-07T07:45:50.595Z","model":"scorer","action":"score","prompt":"","input":"oip-pattern-5-pattern-5-flow-networks-the-economy-solution","response":"[]","tokens_in":0,"tokens_out":0,"cost":0,"prev":"df5e3c98870ccca8999442085509039e264334824615a504d80ea1ffb50e52dc","hash":"58465742ee3b67c1608ff42d01acad29dec2b814ffbfb5138195ecbc6e2caac9"},{"ts":"2026-07-17T02:36:26.212Z","model":"owner","action":"voxel_divide","prompt":"","input":"oip-pattern-5-pattern-5-flow-networks-the-economy-solution","response":"5 DIVs from body (verbatim, roundtrip-checked)","tokens_in":0,"tokens_out":0,"cost":0,"prev":"58465742ee3b67c1608ff42d01acad29dec2b814ffbfb5138195ecbc6e2caac9","hash":"0950fb936937cdef4bd1f3c26a0f0c7604356d181733d81b9e02f260588cb6e5"}]}