{"slug":"oip-pattern-8-scale-invariance-the-recursion-solution","verification":{"valid":true,"entries":5,"head":"cb50a699273d37f5180cff840136d19e79a07a2bf5d354be1e56dcb08f4ff742"},"energy":{"passes":5,"tokens_in":3890,"tokens_out":2022,"tokens_total":5912,"cost_usd":0,"models":{"claude-fable-5":2,"grok/grok-4.3":1,"scorer":1,"owner":1},"head":"cb50a699273d37f5180cff840136d19e79a07a2bf5d354be1e56dcb08f4ff742"},"provenance":[{"ts":"2026-07-04T04:34:22.789Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"genesis","hash":"50148d1765f620db3eae2d9a1eb27d84c6d9e1d6203cd9fa9033e72fd51de0f4"},{"ts":"2026-07-04T05:02:17.486Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"50148d1765f620db3eae2d9a1eb27d84c6d9e1d6203cd9fa9033e72fd51de0f4","hash":"72e93d09713c74b28add28a45170e71ee545499b0428b78f078b7b92df0a3be0"},{"ts":"2026-07-07T07:39:48.285Z","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-8-scale-invariance-the-recursion-solution","response":"{\n  \"claims\": [\n    {\n      \"id\": \"c1\",\n      \"text\": \"Scale invariance (self-similarity) is the property that a structure or process looks statistically identical when viewed at different magnifications.\",\n      \"section\": \"## Formal definition\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Establishes the core formal property of the pattern.\"\n    },\n    {\n      \"id\": \"c2\",\n      \"text\": \"Formally, scale invariance satisfies f(λr) = λ^D f(r) for some scaling exponent D (the fractal dimension).\",\n      \"section\": \"## Formal definition\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Provides the mathematical definition of the invariance.\"\n    },\n    {\n      \"id\": \"c3\",\n      \"text\": \"Scale invariance solves the recursion problem by applying a single generating rule to its own output to produce structure at all scales without scale-specific tuning.\",\n      \"section\": \"## Formal definition\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Links the property to recursive generation.\"\n    },\n    {\n      \"id\": \"c4\",\n      \"text\": \"Scale invariance emerges when the governing equation has no intrinsic length scale and boundary conditions are absent or scale-invariant.\",\n      \"section\": \"## Mechanism\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Specifies the conditions for emergence.\"\n    },\n    {\n      \"id\": \"c5\",\n      \"text\": \"Power-law relationships have no characteristic scale; this is the mathematical signature of scale invariance.\",\n      \"section\": \"## Mechanism\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Identifies the key mathematical indicator.\"\n    },\n    {\n      \"id\": \"c6\",\n      \"text\": \"Renormalization group theory explains scale","tokens_in":3890,"tokens_out":2022,"cost":0,"prev":"72e93d09713c74b28add28a45170e71ee545499b0428b78f078b7b92df0a3be0","hash":"0ad99a205ed386aec90e6942d779ef9ee30ba2b54a2d3575f3f821bb2c8b2cc2"},{"ts":"2026-07-07T07:39:48.602Z","model":"scorer","action":"score","prompt":"","input":"oip-pattern-8-scale-invariance-the-recursion-solution","response":"[]","tokens_in":0,"tokens_out":0,"cost":0,"prev":"0ad99a205ed386aec90e6942d779ef9ee30ba2b54a2d3575f3f821bb2c8b2cc2","hash":"56a94d7937c03933e18e4bbd889cbd162ce0549b447a81722ffab3442abe1142"},{"ts":"2026-07-17T02:36:27.421Z","model":"owner","action":"voxel_divide","prompt":"","input":"oip-pattern-8-scale-invariance-the-recursion-solution","response":"5 DIVs from body (verbatim, roundtrip-checked)","tokens_in":0,"tokens_out":0,"cost":0,"prev":"56a94d7937c03933e18e4bbd889cbd162ce0549b447a81722ffab3442abe1142","hash":"cb50a699273d37f5180cff840136d19e79a07a2bf5d354be1e56dcb08f4ff742"}]}