{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:NQ6YMBC6WMOTRA6ZQZY4CFUVEK","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":"8ee14a1fb8df87eafc73609b78d054bb93c9a29097e20dce28d5a0110d585128","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-07-23T18:00:01Z","title_canon_sha256":"5ed5fb86f7bf3779ab3fa16e0c185ad8663f4991beab7d1ac6b6851e29e68436"},"schema_version":"1.0","source":{"id":"2507.17812","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.17812","created_at":"2026-07-05T11:42:35Z"},{"alias_kind":"arxiv_version","alias_value":"2507.17812v1","created_at":"2026-07-05T11:42:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.17812","created_at":"2026-07-05T11:42:35Z"},{"alias_kind":"pith_short_12","alias_value":"NQ6YMBC6WMOT","created_at":"2026-07-05T11:42:35Z"},{"alias_kind":"pith_short_16","alias_value":"NQ6YMBC6WMOTRA6Z","created_at":"2026-07-05T11:42:35Z"},{"alias_kind":"pith_short_8","alias_value":"NQ6YMBC6","created_at":"2026-07-05T11:42:35Z"}],"graph_snapshots":[{"event_id":"sha256:89b35dc3612ab9c0e3bf75b6e23232d52dfc0775d7c7200d40ff1d9aea05010b","target":"graph","created_at":"2026-07-05T11:42:35Z","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/2507.17812/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose new bounds on black hole entropy in terms of the specific heat at fixed charges. For special spherically-symmetric and static black holes ($g_{tt} g_{rr}=-1$), we prove the bounds with suitable sufficient energy conditions. For more general static and rotating black holes, we test the bounds with a variety of examples. This work extends the previously-known algebraic inequalities of the black hole thermodynamic variables such as the Penrose inequality, to include their derivatives.","authors_text":"H. Lu, Kai-Peng Lu","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-07-23T18:00:01Z","title":"Black Hole Entropy Bounded by the Specific Heat"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.17812","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:d2d14d857337917f322e70d12ed8feab5e9576fe8d22f91f77d89ccd98a3912c","target":"record","created_at":"2026-07-05T11:42:35Z","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":"8ee14a1fb8df87eafc73609b78d054bb93c9a29097e20dce28d5a0110d585128","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-07-23T18:00:01Z","title_canon_sha256":"5ed5fb86f7bf3779ab3fa16e0c185ad8663f4991beab7d1ac6b6851e29e68436"},"schema_version":"1.0","source":{"id":"2507.17812","kind":"arxiv","version":1}},"canonical_sha256":"6c3d86045eb31d3883d98671c1169522b8477ea3a77949e63fa33243603f865e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c3d86045eb31d3883d98671c1169522b8477ea3a77949e63fa33243603f865e","first_computed_at":"2026-07-05T11:42:35.668172Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:42:35.668172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Uf9xbw0kVDKCTSlVWGD0SToqG5ZYcwj/5YomHl80kcWW/xnqAlRmLX3ym8ec0lbmSAy1UDUWcpDU3WnGDPbwAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:42:35.668709Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.17812","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2d14d857337917f322e70d12ed8feab5e9576fe8d22f91f77d89ccd98a3912c","sha256:89b35dc3612ab9c0e3bf75b6e23232d52dfc0775d7c7200d40ff1d9aea05010b"],"state_sha256":"bd4a3db6c8dcfffd5bbaaa9c6bf434030c334913a4831d11220d82a5b61a4fca"}