{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:LO7ERHII24TATGSXZ3KNKZXGBW","short_pith_number":"pith:LO7ERHII","schema_version":"1.0","canonical_sha256":"5bbe489d08d726099a57ced4d566e60daffce441848f4e39bfc2009eb3b7847e","source":{"kind":"arxiv","id":"1507.06097","version":2},"attestation_state":"computed","paper":{"title":"Thermodynamic Metrics and Black Hole Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ingemar Bengtsson, Jan {\\AA}man, Narit Pidokrajt","submitted_at":"2015-07-22T08:19:48Z","abstract_excerpt":"We give a brief survey of thermodynamic metrics, in particular the Hessian of the entropy function, and how they apply to black hole thermodynamics. We then provide a detailed discussion of the Gibbs surface of Kerr black holes. In particular we analyze its global properties, and extend it to take the entropy of the inner horizon into account. A brief discussion of Kerr-Newman black holes is included."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1507.06097","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-22T08:19:48Z","cross_cats_sorted":[],"title_canon_sha256":"72d4048482d4fe7ccbbfbdec212a18b1a7e13e6ff26da4366c3480e2cbfcb8f1","abstract_canon_sha256":"3fad80b55a41cbdad96563ab0a42c9d8b1f0c3ce6c7d44f424d1dc55bdaf42a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:34.085873Z","signature_b64":"sjev05fg22ePLFcQfahbwXUlMWRCdp82fPvo8VhOSNh45zkDiQC0oIhYgH7EfP/2xA6pdEBD23RkTmZfPgjtDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5bbe489d08d726099a57ced4d566e60daffce441848f4e39bfc2009eb3b7847e","last_reissued_at":"2026-05-18T01:28:34.085188Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:34.085188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermodynamic Metrics and Black Hole Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ingemar Bengtsson, Jan {\\AA}man, Narit Pidokrajt","submitted_at":"2015-07-22T08:19:48Z","abstract_excerpt":"We give a brief survey of thermodynamic metrics, in particular the Hessian of the entropy function, and how they apply to black hole thermodynamics. We then provide a detailed discussion of the Gibbs surface of Kerr black holes. In particular we analyze its global properties, and extend it to take the entropy of the inner horizon into account. A brief discussion of Kerr-Newman black holes is included."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.06097","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1507.06097","created_at":"2026-05-18T01:28:34.085302+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.06097v2","created_at":"2026-05-18T01:28:34.085302+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.06097","created_at":"2026-05-18T01:28:34.085302+00:00"},{"alias_kind":"pith_short_12","alias_value":"LO7ERHII24TA","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"LO7ERHII24TATGSX","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"LO7ERHII","created_at":"2026-05-18T12:29:29.992203+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LO7ERHII24TATGSXZ3KNKZXGBW","json":"https://pith.science/pith/LO7ERHII24TATGSXZ3KNKZXGBW.json","graph_json":"https://pith.science/api/pith-number/LO7ERHII24TATGSXZ3KNKZXGBW/graph.json","events_json":"https://pith.science/api/pith-number/LO7ERHII24TATGSXZ3KNKZXGBW/events.json","paper":"https://pith.science/paper/LO7ERHII"},"agent_actions":{"view_html":"https://pith.science/pith/LO7ERHII24TATGSXZ3KNKZXGBW","download_json":"https://pith.science/pith/LO7ERHII24TATGSXZ3KNKZXGBW.json","view_paper":"https://pith.science/paper/LO7ERHII","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.06097&json=true","fetch_graph":"https://pith.science/api/pith-number/LO7ERHII24TATGSXZ3KNKZXGBW/graph.json","fetch_events":"https://pith.science/api/pith-number/LO7ERHII24TATGSXZ3KNKZXGBW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LO7ERHII24TATGSXZ3KNKZXGBW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LO7ERHII24TATGSXZ3KNKZXGBW/action/storage_attestation","attest_author":"https://pith.science/pith/LO7ERHII24TATGSXZ3KNKZXGBW/action/author_attestation","sign_citation":"https://pith.science/pith/LO7ERHII24TATGSXZ3KNKZXGBW/action/citation_signature","submit_replication":"https://pith.science/pith/LO7ERHII24TATGSXZ3KNKZXGBW/action/replication_record"}},"created_at":"2026-05-18T01:28:34.085302+00:00","updated_at":"2026-05-18T01:28:34.085302+00:00"}