{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:DG46DVCVSHWN6UXRRLVBVPZDUL","short_pith_number":"pith:DG46DVCV","canonical_record":{"source":{"id":"2505.16309","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-22T07:05:26Z","cross_cats_sorted":[],"title_canon_sha256":"1692308bd12a6e7ec877460faf237b58c1dedc49316aea5ed93140fd43246395","abstract_canon_sha256":"c6ca2747c48334393c9af3fde0aa17c1d8a9a43c1b7c3fa49b70c2cdcf5cdf2c"},"schema_version":"1.0"},"canonical_sha256":"19b9e1d45591ecdf52f18aea1abf23a2c396826d5ddad9db2527a97da072f99f","source":{"kind":"arxiv","id":"2505.16309","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.16309","created_at":"2026-07-05T11:07:33Z"},{"alias_kind":"arxiv_version","alias_value":"2505.16309v1","created_at":"2026-07-05T11:07:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.16309","created_at":"2026-07-05T11:07:33Z"},{"alias_kind":"pith_short_12","alias_value":"DG46DVCVSHWN","created_at":"2026-07-05T11:07:33Z"},{"alias_kind":"pith_short_16","alias_value":"DG46DVCVSHWN6UXR","created_at":"2026-07-05T11:07:33Z"},{"alias_kind":"pith_short_8","alias_value":"DG46DVCV","created_at":"2026-07-05T11:07:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:DG46DVCVSHWN6UXRRLVBVPZDUL","target":"record","payload":{"canonical_record":{"source":{"id":"2505.16309","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-22T07:05:26Z","cross_cats_sorted":[],"title_canon_sha256":"1692308bd12a6e7ec877460faf237b58c1dedc49316aea5ed93140fd43246395","abstract_canon_sha256":"c6ca2747c48334393c9af3fde0aa17c1d8a9a43c1b7c3fa49b70c2cdcf5cdf2c"},"schema_version":"1.0"},"canonical_sha256":"19b9e1d45591ecdf52f18aea1abf23a2c396826d5ddad9db2527a97da072f99f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:07:33.047589Z","signature_b64":"L4PWx21xpZdts5ae+L5CTH+uHj4PXjBAZBpIQsMmrsDR6zQpUDZKFIp01VAgtwcvwn+7wXPiEORWY8Vpic2iAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19b9e1d45591ecdf52f18aea1abf23a2c396826d5ddad9db2527a97da072f99f","last_reissued_at":"2026-07-05T11:07:33.047087Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:07:33.047087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.16309","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":"2026-07-05T11:07:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L4FB09YoqfhJsFZS6i3uKeU5qyoi0+5Wkgr50YKxc8ojlO6kFTi9+uy5HfY/DqEVQTnRMbYliE9T9qLI9FAlBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T03:04:34.907061Z"},"content_sha256":"509af58c5084114a4200d8d69f7f54e8168e14403a51a87f81762de620c6309c","schema_version":"1.0","event_id":"sha256:509af58c5084114a4200d8d69f7f54e8168e14403a51a87f81762de620c6309c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:DG46DVCVSHWN6UXRRLVBVPZDUL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From Nonextremal to Extremal: Entropy of Reissner-Nordstr\\\"om and Kerr black holes Revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"C. Fairoos, Chiranjeeb Singha","submitted_at":"2025-05-22T07:05:26Z","abstract_excerpt":"In this paper, we derive the entropy of Reissner-Nordstr\\\"om (RN) and Kerr black holes using the Hawking-Gibbons path integral method. We determine the periodicity of the Euclidean time coordinate using two approaches: first, by analyzing the near-horizon geometry, and second, by applying the Chern-Gauss-Bonnet (CGB) theorem. For non-extremal cases, both these methods yield a consistent and unique periodicity, which in turn leads to a well-defined expression for the entropy. In contrast, the extremal case exhibits a crucial difference. The absence of a conical structure in the near-horizon geo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.16309","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/2505.16309/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":"2026-07-05T11:07:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"34JE9nYnKZk7lfYnszVwXMCauj2MfwNg3IX94/WoCAZfsGM3ZEIjtkcu3IkU2R26eORhxNkX3gwhk6vXUXI/Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T03:04:34.907641Z"},"content_sha256":"9a127efbf925e7d430928a503860754f0dce59c2675a98ae39c500f7b388e177","schema_version":"1.0","event_id":"sha256:9a127efbf925e7d430928a503860754f0dce59c2675a98ae39c500f7b388e177"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DG46DVCVSHWN6UXRRLVBVPZDUL/bundle.json","state_url":"https://pith.science/pith/DG46DVCVSHWN6UXRRLVBVPZDUL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DG46DVCVSHWN6UXRRLVBVPZDUL/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":"2026-08-08T03:04:34Z","links":{"resolver":"https://pith.science/pith/DG46DVCVSHWN6UXRRLVBVPZDUL","bundle":"https://pith.science/pith/DG46DVCVSHWN6UXRRLVBVPZDUL/bundle.json","state":"https://pith.science/pith/DG46DVCVSHWN6UXRRLVBVPZDUL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DG46DVCVSHWN6UXRRLVBVPZDUL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DG46DVCVSHWN6UXRRLVBVPZDUL","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":"c6ca2747c48334393c9af3fde0aa17c1d8a9a43c1b7c3fa49b70c2cdcf5cdf2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-22T07:05:26Z","title_canon_sha256":"1692308bd12a6e7ec877460faf237b58c1dedc49316aea5ed93140fd43246395"},"schema_version":"1.0","source":{"id":"2505.16309","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.16309","created_at":"2026-07-05T11:07:33Z"},{"alias_kind":"arxiv_version","alias_value":"2505.16309v1","created_at":"2026-07-05T11:07:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.16309","created_at":"2026-07-05T11:07:33Z"},{"alias_kind":"pith_short_12","alias_value":"DG46DVCVSHWN","created_at":"2026-07-05T11:07:33Z"},{"alias_kind":"pith_short_16","alias_value":"DG46DVCVSHWN6UXR","created_at":"2026-07-05T11:07:33Z"},{"alias_kind":"pith_short_8","alias_value":"DG46DVCV","created_at":"2026-07-05T11:07:33Z"}],"graph_snapshots":[{"event_id":"sha256:9a127efbf925e7d430928a503860754f0dce59c2675a98ae39c500f7b388e177","target":"graph","created_at":"2026-07-05T11:07:33Z","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/2505.16309/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we derive the entropy of Reissner-Nordstr\\\"om (RN) and Kerr black holes using the Hawking-Gibbons path integral method. We determine the periodicity of the Euclidean time coordinate using two approaches: first, by analyzing the near-horizon geometry, and second, by applying the Chern-Gauss-Bonnet (CGB) theorem. For non-extremal cases, both these methods yield a consistent and unique periodicity, which in turn leads to a well-defined expression for the entropy. In contrast, the extremal case exhibits a crucial difference. The absence of a conical structure in the near-horizon geo","authors_text":"C. Fairoos, Chiranjeeb Singha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-22T07:05:26Z","title":"From Nonextremal to Extremal: Entropy of Reissner-Nordstr\\\"om and Kerr black holes Revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.16309","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":"sha256:509af58c5084114a4200d8d69f7f54e8168e14403a51a87f81762de620c6309c","target":"record","created_at":"2026-07-05T11:07:33Z","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":"c6ca2747c48334393c9af3fde0aa17c1d8a9a43c1b7c3fa49b70c2cdcf5cdf2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-05-22T07:05:26Z","title_canon_sha256":"1692308bd12a6e7ec877460faf237b58c1dedc49316aea5ed93140fd43246395"},"schema_version":"1.0","source":{"id":"2505.16309","kind":"arxiv","version":1}},"canonical_sha256":"19b9e1d45591ecdf52f18aea1abf23a2c396826d5ddad9db2527a97da072f99f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19b9e1d45591ecdf52f18aea1abf23a2c396826d5ddad9db2527a97da072f99f","first_computed_at":"2026-07-05T11:07:33.047087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:07:33.047087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L4PWx21xpZdts5ae+L5CTH+uHj4PXjBAZBpIQsMmrsDR6zQpUDZKFIp01VAgtwcvwn+7wXPiEORWY8Vpic2iAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:07:33.047589Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.16309","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:509af58c5084114a4200d8d69f7f54e8168e14403a51a87f81762de620c6309c","sha256:9a127efbf925e7d430928a503860754f0dce59c2675a98ae39c500f7b388e177"],"state_sha256":"56dc24cdfc4590bc6f3729a6f9f2aed33cf6df8dbe69a7a054b4829b52502ce8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h5HdZM1z+fmejxD5iy9kdg4qhXjoG2OdF9snBwKK561hHA/S3dWYHvFZh9ZOKTnNnzykpJ9nhPaaK0qypKUeCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T03:04:34.913647Z","bundle_sha256":"8dea528f50e1f22898ce6e5c42f1b1af4e0a101ac9be55ec3e0326239a28cb4e"}}