{"slug":"oip-invariant-2-32-least-action-variational-principles","verification":{"valid":true,"entries":5,"head":"97a32438a1fab7f1552040515c0d5d55f140bb781b1ad6eecba4e456d1f677af"},"energy":{"passes":5,"tokens_in":2905,"tokens_out":1324,"tokens_total":4229,"cost_usd":0,"models":{"claude-fable-5":2,"grok/grok-4.3":1,"scorer":1,"owner":1},"head":"97a32438a1fab7f1552040515c0d5d55f140bb781b1ad6eecba4e456d1f677af"},"provenance":[{"ts":"2026-07-04T04:33:50.906Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"genesis","hash":"1b3ae818cbbdfe87ce6d2345a7cdaccd57f1f4c7926cc27d2233dcff569707a4"},{"ts":"2026-07-04T05:01:49.217Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"1b3ae818cbbdfe87ce6d2345a7cdaccd57f1f4c7926cc27d2233dcff569707a4","hash":"fdc462f6ee002fdad0216460b5a85dabff0de6ee26586b55f8abd01aa3a12911"},{"ts":"2026-07-07T08:08:46.065Z","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-invariant-2-32-least-action-variational-principles","response":"{\n  \"claims\": [\n    {\n      \"id\": \"c1\",\n      \"text\": \"Nature extremizes a quantity.\",\n      \"section\": \"### 3.2 Least action / variational principles\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Core definition of the invariant\"\n    },\n    {\n      \"id\": \"c2\",\n      \"text\": \"This invariant is the economy principle.\",\n      \"section\": \"### 3.2 Least action / variational principles\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Explicit identification of dual\"\n    },\n    {\n      \"id\": \"c3\",\n      \"text\": \"A fundamental law not expressible as an extremum would falsify the invariant.\",\n      \"section\": \"### 3.2 Least action / variational principles\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Stated falsification criterion\"\n    }\n  ],\n  \"sources\": []\n}","tokens_in":2905,"tokens_out":1324,"cost":0,"prev":"fdc462f6ee002fdad0216460b5a85dabff0de6ee26586b55f8abd01aa3a12911","hash":"129e82bd7d61294c4adf9451aa8c43bf8883df36dbc33f91e62630dc60889010"},{"ts":"2026-07-07T08:08:46.366Z","model":"scorer","action":"score","prompt":"","input":"oip-invariant-2-32-least-action-variational-principles","response":"[]","tokens_in":0,"tokens_out":0,"cost":0,"prev":"129e82bd7d61294c4adf9451aa8c43bf8883df36dbc33f91e62630dc60889010","hash":"9c7bd974b51549e0af481d1f199566d93bb5882ee2266259cd18f335632d1355"},{"ts":"2026-07-17T02:36:15.839Z","model":"owner","action":"voxel_divide","prompt":"","input":"oip-invariant-2-32-least-action-variational-principles","response":"6 DIVs from body (verbatim, roundtrip-checked)","tokens_in":0,"tokens_out":0,"cost":0,"prev":"9c7bd974b51549e0af481d1f199566d93bb5882ee2266259cd18f335632d1355","hash":"97a32438a1fab7f1552040515c0d5d55f140bb781b1ad6eecba4e456d1f677af"}]}