{"slug":"oip-pattern-5-flow-networks-the-economy-solution","verification":{"valid":true,"entries":5,"head":"8df38da3f29cab8229dbe876be228446ba078139b0adab0bd0e47d54f3f97b47"},"energy":{"passes":5,"tokens_in":3802,"tokens_out":2639,"tokens_total":6441,"cost_usd":0,"models":{"claude-fable-5":2,"grok/grok-4.3":1,"scorer":1,"owner":1},"head":"8df38da3f29cab8229dbe876be228446ba078139b0adab0bd0e47d54f3f97b47"},"provenance":[{"ts":"2026-07-04T04:34:18.146Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"genesis","hash":"e125d5922aee97b57dda25d10ae988226aa355cf5935d2c95d8996f547b39fff"},{"ts":"2026-07-04T05:02:13.389Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"e125d5922aee97b57dda25d10ae988226aa355cf5935d2c95d8996f547b39fff","hash":"75685cfea094fdd9c6d99aaa99bb7e6c5cdd9e28402ca33ee8f9974628090a93"},{"ts":"2026-07-07T07:46:54.398Z","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-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.\"\n    },\n    {\n      \"id\": \"c2\",\n      \"text\": \"Flow networks solve the universal distribution problem of finding the geometry that minimizes total transport cost given multiple sources, multiple sinks, and a cost on transport.\",\n      \"section\": \"## Formal definition.\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"States the optimization problem addressed.\"\n    },\n    {\n      \"id\": \"c3\",\n      \"text\": \"Flow networks generalize Pattern 1 (Branching) to include loops, multiple sources/sinks, and dynamic adaptation.\",\n      \"section\": \"## Formal definition.\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Positions the pattern in the corpus.\"\n    },\n    {\n      \"id\": \"c4\",\n      \"text\": \"The physics of flow networks is optimal transport theory, encompassing 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\": \"c5\",\n      \"text\": \"The unifying principle is that nature evolves its flow configurations to provide easier access for the currents that flow through it.\",\n      \"section\": \"## Mechanism.\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"States the evolutionary mechanism.","tokens_in":3802,"tokens_out":2639,"cost":0,"prev":"75685cfea094fdd9c6d99aaa99bb7e6c5cdd9e28402ca33ee8f9974628090a93","hash":"c7f6aeb242c529ee2704d5553ae0cc03fd4e179374d8d4a2b704309918392c24"},{"ts":"2026-07-07T07:46:54.719Z","model":"scorer","action":"score","prompt":"","input":"oip-pattern-5-flow-networks-the-economy-solution","response":"[]","tokens_in":0,"tokens_out":0,"cost":0,"prev":"c7f6aeb242c529ee2704d5553ae0cc03fd4e179374d8d4a2b704309918392c24","hash":"1fe26e3740614aec73259e765791d3c9bea4f857d96fd375d7dab7572ae53275"},{"ts":"2026-07-17T02:36:25.846Z","model":"owner","action":"voxel_divide","prompt":"","input":"oip-pattern-5-flow-networks-the-economy-solution","response":"5 DIVs from body (verbatim, roundtrip-checked)","tokens_in":0,"tokens_out":0,"cost":0,"prev":"1fe26e3740614aec73259e765791d3c9bea4f857d96fd375d7dab7572ae53275","hash":"8df38da3f29cab8229dbe876be228446ba078139b0adab0bd0e47d54f3f97b47"}]}