{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:22UNPOMYQRHBA3VPHEYMDNGA54","short_pith_number":"pith:22UNPOMY","canonical_record":{"source":{"id":"2606.02392","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SI","submitted_at":"2026-06-01T15:42:49Z","cross_cats_sorted":["cs.LO","q-bio.NC"],"title_canon_sha256":"744eb073040ce1663760b0878dae7e9dc99d36dfdd0070ccab613427ecd8d6a5","abstract_canon_sha256":"91583c06dbcb40997b94c2a419297dae9d797984a345cd118f0aeff15731dc18"},"schema_version":"1.0"},"canonical_sha256":"d6a8d7b998844e106eaf3930c1b4c0ef27433062dd399d26ede23517ccdf73f2","source":{"kind":"arxiv","id":"2606.02392","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.02392","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"arxiv_version","alias_value":"2606.02392v1","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.02392","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"pith_short_12","alias_value":"22UNPOMYQRHB","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"pith_short_16","alias_value":"22UNPOMYQRHBA3VP","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"pith_short_8","alias_value":"22UNPOMY","created_at":"2026-06-02T03:04:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:22UNPOMYQRHBA3VPHEYMDNGA54","target":"record","payload":{"canonical_record":{"source":{"id":"2606.02392","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SI","submitted_at":"2026-06-01T15:42:49Z","cross_cats_sorted":["cs.LO","q-bio.NC"],"title_canon_sha256":"744eb073040ce1663760b0878dae7e9dc99d36dfdd0070ccab613427ecd8d6a5","abstract_canon_sha256":"91583c06dbcb40997b94c2a419297dae9d797984a345cd118f0aeff15731dc18"},"schema_version":"1.0"},"canonical_sha256":"d6a8d7b998844e106eaf3930c1b4c0ef27433062dd399d26ede23517ccdf73f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T03:04:57.940259Z","signature_b64":"VdSM/F84TijLUSZTJIbRK+GUYi43NcJBU8uW7g1GyjaWt9TDkiObXJ9SketPk7xr/xbRxV5IQlS2Fjf3kUHfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6a8d7b998844e106eaf3930c1b4c0ef27433062dd399d26ede23517ccdf73f2","last_reissued_at":"2026-06-02T03:04:57.939885Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T03:04:57.939885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.02392","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-02T03:04:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DBMmOczQuD+4hmIxUWZS7baM7YDm7G1s9J0kpo/DEnQskcwtfDqAKmm56xhBBNSR702nzgOr8ax5RVQ+HZ1KBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:27:34.994507Z"},"content_sha256":"aa45e5356859149224c174ed6b41fc54b76df250d74e49614a644f384fb03656","schema_version":"1.0","event_id":"sha256:aa45e5356859149224c174ed6b41fc54b76df250d74e49614a644f384fb03656"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:22UNPOMYQRHBA3VPHEYMDNGA54","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topology as Logic: Structural Role Geometry Across Formal, Software, Biological, and Prebiotic Systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LO","q-bio.NC"],"primary_cat":"cs.SI","authors_text":"Vladi Ivanov","submitted_at":"2026-06-01T15:42:49Z","abstract_excerpt":"We ask whether dependency topology correlates with functional load-bearing organization as recoverable geometry -- not as a metaphor, but as a measurable structural property detectable by multilayer network analysis. Across seven independent substrates, we show that hub persistence and rank divergence under the Functional Proximity Law recover operational organization that domain experts describe as logic: axiomatic load-bearing structure in formal mathematics, control and contract structure in legacy software, conserved hub grammar across approx. 600 million years of neural evolution, catalyt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.02392","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.02392/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-02T03:04:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BJZtR36TKonsGC1U61VtK6xefzTFI851W2mMuxVO2klmho5Fj1DgNlBBdQd27h0WThBeKbBuG0LSHGKqWhNOAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:27:34.995262Z"},"content_sha256":"cdd204062086fc62654b7682b0440429e9a52929fe6235a1090775857465b3e2","schema_version":"1.0","event_id":"sha256:cdd204062086fc62654b7682b0440429e9a52929fe6235a1090775857465b3e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/22UNPOMYQRHBA3VPHEYMDNGA54/bundle.json","state_url":"https://pith.science/pith/22UNPOMYQRHBA3VPHEYMDNGA54/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/22UNPOMYQRHBA3VPHEYMDNGA54/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T08:27:34Z","links":{"resolver":"https://pith.science/pith/22UNPOMYQRHBA3VPHEYMDNGA54","bundle":"https://pith.science/pith/22UNPOMYQRHBA3VPHEYMDNGA54/bundle.json","state":"https://pith.science/pith/22UNPOMYQRHBA3VPHEYMDNGA54/state.json","well_known_bundle":"https://pith.science/.well-known/pith/22UNPOMYQRHBA3VPHEYMDNGA54/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:22UNPOMYQRHBA3VPHEYMDNGA54","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"91583c06dbcb40997b94c2a419297dae9d797984a345cd118f0aeff15731dc18","cross_cats_sorted":["cs.LO","q-bio.NC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SI","submitted_at":"2026-06-01T15:42:49Z","title_canon_sha256":"744eb073040ce1663760b0878dae7e9dc99d36dfdd0070ccab613427ecd8d6a5"},"schema_version":"1.0","source":{"id":"2606.02392","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.02392","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"arxiv_version","alias_value":"2606.02392v1","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.02392","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"pith_short_12","alias_value":"22UNPOMYQRHB","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"pith_short_16","alias_value":"22UNPOMYQRHBA3VP","created_at":"2026-06-02T03:04:57Z"},{"alias_kind":"pith_short_8","alias_value":"22UNPOMY","created_at":"2026-06-02T03:04:57Z"}],"graph_snapshots":[{"event_id":"sha256:cdd204062086fc62654b7682b0440429e9a52929fe6235a1090775857465b3e2","target":"graph","created_at":"2026-06-02T03:04:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.02392/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We ask whether dependency topology correlates with functional load-bearing organization as recoverable geometry -- not as a metaphor, but as a measurable structural property detectable by multilayer network analysis. Across seven independent substrates, we show that hub persistence and rank divergence under the Functional Proximity Law recover operational organization that domain experts describe as logic: axiomatic load-bearing structure in formal mathematics, control and contract structure in legacy software, conserved hub grammar across approx. 600 million years of neural evolution, catalyt","authors_text":"Vladi Ivanov","cross_cats":["cs.LO","q-bio.NC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SI","submitted_at":"2026-06-01T15:42:49Z","title":"Topology as Logic: Structural Role Geometry Across Formal, Software, Biological, and Prebiotic Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.02392","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:aa45e5356859149224c174ed6b41fc54b76df250d74e49614a644f384fb03656","target":"record","created_at":"2026-06-02T03:04:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"91583c06dbcb40997b94c2a419297dae9d797984a345cd118f0aeff15731dc18","cross_cats_sorted":["cs.LO","q-bio.NC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SI","submitted_at":"2026-06-01T15:42:49Z","title_canon_sha256":"744eb073040ce1663760b0878dae7e9dc99d36dfdd0070ccab613427ecd8d6a5"},"schema_version":"1.0","source":{"id":"2606.02392","kind":"arxiv","version":1}},"canonical_sha256":"d6a8d7b998844e106eaf3930c1b4c0ef27433062dd399d26ede23517ccdf73f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6a8d7b998844e106eaf3930c1b4c0ef27433062dd399d26ede23517ccdf73f2","first_computed_at":"2026-06-02T03:04:57.939885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T03:04:57.939885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VdSM/F84TijLUSZTJIbRK+GUYi43NcJBU8uW7g1GyjaWt9TDkiObXJ9SketPk7xr/xbRxV5IQlS2Fjf3kUHfBA==","signature_status":"signed_v1","signed_at":"2026-06-02T03:04:57.940259Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.02392","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa45e5356859149224c174ed6b41fc54b76df250d74e49614a644f384fb03656","sha256:cdd204062086fc62654b7682b0440429e9a52929fe6235a1090775857465b3e2"],"state_sha256":"1f0a4235d0e776c7d7676385842ebd98fdb542b230faaa5948551044a22e84fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ddfsX5NgzUiqnBVQt9nxY0+sibguxGQtlgBxpo38S59ETJh/BGKQY0MokX6VRAazG520lYA7p2x8pPQSZ41UCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T08:27:34.999739Z","bundle_sha256":"1629486d75a3eeb9408810735a99873db19d07e560b714a09327a167cf781d13"}}