{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:SO5WNWGVVFBC3DK5BIQIU5OK4J","short_pith_number":"pith:SO5WNWGV","canonical_record":{"source":{"id":"2402.18791","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-02-29T01:39:32Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"1455f33704431fd7b34d39a1e98fa3fe05faef1e84215f733cb27ed5b76a45d2","abstract_canon_sha256":"05383959b60f84600bd5225e39fad96da7af41425de6a1d0118b2ebe45d8e554"},"schema_version":"1.0"},"canonical_sha256":"93bb66d8d5a9422d8d5d0a208a75cae27ba5339de4c8dd1a9c9aa7757243aa76","source":{"kind":"arxiv","id":"2402.18791","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.18791","created_at":"2026-07-05T08:21:13Z"},{"alias_kind":"arxiv_version","alias_value":"2402.18791v2","created_at":"2026-07-05T08:21:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.18791","created_at":"2026-07-05T08:21:13Z"},{"alias_kind":"pith_short_12","alias_value":"SO5WNWGVVFBC","created_at":"2026-07-05T08:21:13Z"},{"alias_kind":"pith_short_16","alias_value":"SO5WNWGVVFBC3DK5","created_at":"2026-07-05T08:21:13Z"},{"alias_kind":"pith_short_8","alias_value":"SO5WNWGV","created_at":"2026-07-05T08:21:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:SO5WNWGVVFBC3DK5BIQIU5OK4J","target":"record","payload":{"canonical_record":{"source":{"id":"2402.18791","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-02-29T01:39:32Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"1455f33704431fd7b34d39a1e98fa3fe05faef1e84215f733cb27ed5b76a45d2","abstract_canon_sha256":"05383959b60f84600bd5225e39fad96da7af41425de6a1d0118b2ebe45d8e554"},"schema_version":"1.0"},"canonical_sha256":"93bb66d8d5a9422d8d5d0a208a75cae27ba5339de4c8dd1a9c9aa7757243aa76","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:21:13.660532Z","signature_b64":"wWCa2A8VXtEseLBK19i8F1iqd9nJ8xHhz2gb1faJIGUaw33jlJEeaPxiZK6nTQg8/K1CPsVhqGVYRq7UotAuAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93bb66d8d5a9422d8d5d0a208a75cae27ba5339de4c8dd1a9c9aa7757243aa76","last_reissued_at":"2026-07-05T08:21:13.660038Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:21:13.660038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.18791","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:21:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WWB/OrMrCdFZCSVDywIN6z/Tq87GFEp4c7Ar7RW01B5cK+D9R+cst+J2xHeXPPPPDHuYvDCBF7AtUdFDHBJ+Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T19:54:04.742720Z"},"content_sha256":"84f68ec5b69bbd491866b1be7d8a36ba26b901f19c392c6f9f0832681a062752","schema_version":"1.0","event_id":"sha256:84f68ec5b69bbd491866b1be7d8a36ba26b901f19c392c6f9f0832681a062752"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:SO5WNWGVVFBC3DK5BIQIU5OK4J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological interpretation of extremal and Davies-type phase transitions of black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Douglas Singleton, Kazuharu Bamba, Krishnakanta Bhattacharya","submitted_at":"2024-02-29T01:39:32Z","abstract_excerpt":"Topological arguments are currently being used as a novel scheme to discern the properties of black holes while ignoring their detailed structure and specific field equations. Among various avenues of black hole physics, where this novel approach is being utilized, the phase transition in black hole thermodynamics lies at the forefront. There are several types of phase transition in black holes; such as the van der Waals type phase transition, Davies-type phase transition, extremal phase transition, and Hawking-Page (HP) transition. So far, the topological interpretation, where the critical po"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.18791","kind":"arxiv","version":2},"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/2402.18791/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":"2026-07-05T08:21:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FWcc+ENVVpEy+95mIDmB0UMhIgU64zfBW7zPv+eSHFtf3RhcqwNUwJkW0RQGaKmmDeN8t8/K3u50AaM8nxSwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T19:54:04.744066Z"},"content_sha256":"7fc1c6fb3e3c421cff5540ba51ef5de0c48ef05620c04639ec2cd2cfc373e384","schema_version":"1.0","event_id":"sha256:7fc1c6fb3e3c421cff5540ba51ef5de0c48ef05620c04639ec2cd2cfc373e384"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SO5WNWGVVFBC3DK5BIQIU5OK4J/bundle.json","state_url":"https://pith.science/pith/SO5WNWGVVFBC3DK5BIQIU5OK4J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SO5WNWGVVFBC3DK5BIQIU5OK4J/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":"2026-08-09T19:54:04Z","links":{"resolver":"https://pith.science/pith/SO5WNWGVVFBC3DK5BIQIU5OK4J","bundle":"https://pith.science/pith/SO5WNWGVVFBC3DK5BIQIU5OK4J/bundle.json","state":"https://pith.science/pith/SO5WNWGVVFBC3DK5BIQIU5OK4J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SO5WNWGVVFBC3DK5BIQIU5OK4J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:SO5WNWGVVFBC3DK5BIQIU5OK4J","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":"05383959b60f84600bd5225e39fad96da7af41425de6a1d0118b2ebe45d8e554","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-02-29T01:39:32Z","title_canon_sha256":"1455f33704431fd7b34d39a1e98fa3fe05faef1e84215f733cb27ed5b76a45d2"},"schema_version":"1.0","source":{"id":"2402.18791","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.18791","created_at":"2026-07-05T08:21:13Z"},{"alias_kind":"arxiv_version","alias_value":"2402.18791v2","created_at":"2026-07-05T08:21:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.18791","created_at":"2026-07-05T08:21:13Z"},{"alias_kind":"pith_short_12","alias_value":"SO5WNWGVVFBC","created_at":"2026-07-05T08:21:13Z"},{"alias_kind":"pith_short_16","alias_value":"SO5WNWGVVFBC3DK5","created_at":"2026-07-05T08:21:13Z"},{"alias_kind":"pith_short_8","alias_value":"SO5WNWGV","created_at":"2026-07-05T08:21:13Z"}],"graph_snapshots":[{"event_id":"sha256:7fc1c6fb3e3c421cff5540ba51ef5de0c48ef05620c04639ec2cd2cfc373e384","target":"graph","created_at":"2026-07-05T08:21:13Z","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/2402.18791/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Topological arguments are currently being used as a novel scheme to discern the properties of black holes while ignoring their detailed structure and specific field equations. Among various avenues of black hole physics, where this novel approach is being utilized, the phase transition in black hole thermodynamics lies at the forefront. There are several types of phase transition in black holes; such as the van der Waals type phase transition, Davies-type phase transition, extremal phase transition, and Hawking-Page (HP) transition. So far, the topological interpretation, where the critical po","authors_text":"Douglas Singleton, Kazuharu Bamba, Krishnakanta Bhattacharya","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-02-29T01:39:32Z","title":"Topological interpretation of extremal and Davies-type phase transitions of black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.18791","kind":"arxiv","version":2},"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":"sha256:84f68ec5b69bbd491866b1be7d8a36ba26b901f19c392c6f9f0832681a062752","target":"record","created_at":"2026-07-05T08:21:13Z","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":"05383959b60f84600bd5225e39fad96da7af41425de6a1d0118b2ebe45d8e554","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-02-29T01:39:32Z","title_canon_sha256":"1455f33704431fd7b34d39a1e98fa3fe05faef1e84215f733cb27ed5b76a45d2"},"schema_version":"1.0","source":{"id":"2402.18791","kind":"arxiv","version":2}},"canonical_sha256":"93bb66d8d5a9422d8d5d0a208a75cae27ba5339de4c8dd1a9c9aa7757243aa76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93bb66d8d5a9422d8d5d0a208a75cae27ba5339de4c8dd1a9c9aa7757243aa76","first_computed_at":"2026-07-05T08:21:13.660038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:21:13.660038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wWCa2A8VXtEseLBK19i8F1iqd9nJ8xHhz2gb1faJIGUaw33jlJEeaPxiZK6nTQg8/K1CPsVhqGVYRq7UotAuAw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:21:13.660532Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.18791","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84f68ec5b69bbd491866b1be7d8a36ba26b901f19c392c6f9f0832681a062752","sha256:7fc1c6fb3e3c421cff5540ba51ef5de0c48ef05620c04639ec2cd2cfc373e384"],"state_sha256":"326a4c4733e956f067977f96b09d8d51151537350abd4bd71a134b2994de25a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZXMIiEzfNb0yMXoLOgK6hg5XlnbA+7Okzd0G+qh0YHPT4caPYRqPzrT87pFkwETsBlJ/PUNyuTu8TOytNUMnDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T19:54:04.753794Z","bundle_sha256":"add301b98b9e1cf02c761c2ad244d0e556d7700664d2804c86796127ef87aa7c"}}