{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DRMVRU52CM23AABUR73VPLKJ5P","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":"975c2a4ba24d00f8deb62dea784118ae6218015f833e15d58dc69fb8cf5908c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-12-19T14:42:40Z","title_canon_sha256":"d58d93549edfdd0fe49f24f8c3e0698ec48c71659349dc8f7db047a3cb2d1209"},"schema_version":"1.0","source":{"id":"2512.17642","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.17642","created_at":"2026-07-13T01:17:52Z"},{"alias_kind":"arxiv_version","alias_value":"2512.17642v3","created_at":"2026-07-13T01:17:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.17642","created_at":"2026-07-13T01:17:52Z"},{"alias_kind":"pith_short_12","alias_value":"DRMVRU52CM23","created_at":"2026-07-13T01:17:52Z"},{"alias_kind":"pith_short_16","alias_value":"DRMVRU52CM23AABU","created_at":"2026-07-13T01:17:52Z"},{"alias_kind":"pith_short_8","alias_value":"DRMVRU52","created_at":"2026-07-13T01:17:52Z"}],"graph_snapshots":[{"event_id":"sha256:ad885de2a0f762f0e15f7def66bebde5653c8e754dfb48a370d9388d0e91add9","target":"graph","created_at":"2026-07-13T01:17:52Z","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/2512.17642/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Previous studies suggested that the particle circular orbit can serve as a probe of black hole phase transitions. However, these studies only identified this phenomenon by substituting the horizon radius $r_h$ with the circular orbit radius $r_c$ in thermodynamic state relations. Such simplistic substitution fails to uncover the underlying connection between black hole phase transitions and particle circular orbits. In this work, we successfully establish this profound intrinsic link by deriving a differential relation for $r_c$ that relates to thermodynamic parameters and the first law of bla","authors_text":"Jinsong Yang, Lei You","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-12-19T14:42:40Z","title":"Revisiting particle circular orbits as probes of black hole phase transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.17642","kind":"arxiv","version":3},"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:ee931ca30def61557b8be8e104aab0c4051f3ec99be8d7b238abde54590e3296","target":"record","created_at":"2026-07-13T01:17:52Z","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":"975c2a4ba24d00f8deb62dea784118ae6218015f833e15d58dc69fb8cf5908c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-12-19T14:42:40Z","title_canon_sha256":"d58d93549edfdd0fe49f24f8c3e0698ec48c71659349dc8f7db047a3cb2d1209"},"schema_version":"1.0","source":{"id":"2512.17642","kind":"arxiv","version":3}},"canonical_sha256":"1c5958d3ba1335b000348ff757ad49ebc4dfff7e1ce2007f492e50435d50813a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c5958d3ba1335b000348ff757ad49ebc4dfff7e1ce2007f492e50435d50813a","first_computed_at":"2026-07-13T01:17:52.718085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-13T01:17:52.718085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7DFbNwFJkdpka4SqqyymFMAs+i2Wf9JtXCyVcaSf1/em3x2NsqBkHRJlUx/QJuI4fkPbe5ZtUZ9uFGPWvq8XDg==","signature_status":"signed_v1","signed_at":"2026-07-13T01:17:52.719337Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.17642","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee931ca30def61557b8be8e104aab0c4051f3ec99be8d7b238abde54590e3296","sha256:ad885de2a0f762f0e15f7def66bebde5653c8e754dfb48a370d9388d0e91add9"],"state_sha256":"fc98a97e40431d4588fa5a114269721c755735670938b88a902ac2d6a3d0e5ed"}