{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:SBY4X7GU27ADQKWSZUTROCMXAM","short_pith_number":"pith:SBY4X7GU","schema_version":"1.0","canonical_sha256":"9071cbfcd4d7c0382ad2cd271709970326ed2cf787f69670840de4babec4d5e5","source":{"kind":"arxiv","id":"2509.10921","version":3},"attestation_state":"computed","paper":{"title":"Gravitational Entropy","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Malcolm J. Perry, Sangmin Choi","submitted_at":"2025-09-13T17:40:48Z","abstract_excerpt":"We formulate the classical gravitational entropy of a horizon as a Noether charge that does not require the notion of a temperature, and which is applicable to horizons that are not necessarily associated with black holes. This introduces a correction to the covariant phase space formalism that accounts for the configuration-dependence of the generating vector field conjugate to the charge. The vector field is related to the proposal of Bousso that the gravitational entropy of a region is determined by the lightsheet at its boundary. We test the formula on various black hole and cosmological h"},"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":"2509.10921","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-09-13T17:40:48Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"4e805095c824e640a0d8bd72bec2e46c79020f2c72d380b40f440872c599cc44","abstract_canon_sha256":"040247efaf15dcba1363e82bef772aceff2e1cad9f549b5d402808f25f529f45"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-07T03:18:49.106469Z","signature_b64":"wL0xVPsHh8lg1pqqdifOkNxsqJXlyhSRgAvP0frhZrAnUXn0OtDB1QhSi3XfhytKtJBYPcUKBF07LkmpVPGJAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9071cbfcd4d7c0382ad2cd271709970326ed2cf787f69670840de4babec4d5e5","last_reissued_at":"2026-07-07T03:18:49.105723Z","signature_status":"signed_v1","first_computed_at":"2026-07-07T03:18:49.105723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gravitational Entropy","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Malcolm J. Perry, Sangmin Choi","submitted_at":"2025-09-13T17:40:48Z","abstract_excerpt":"We formulate the classical gravitational entropy of a horizon as a Noether charge that does not require the notion of a temperature, and which is applicable to horizons that are not necessarily associated with black holes. This introduces a correction to the covariant phase space formalism that accounts for the configuration-dependence of the generating vector field conjugate to the charge. The vector field is related to the proposal of Bousso that the gravitational entropy of a region is determined by the lightsheet at its boundary. We test the formula on various black hole and cosmological h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.10921","kind":"arxiv","version":3},"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/2509.10921/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2509.10921","created_at":"2026-07-07T03:18:49.105802+00:00"},{"alias_kind":"arxiv_version","alias_value":"2509.10921v3","created_at":"2026-07-07T03:18:49.105802+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.10921","created_at":"2026-07-07T03:18:49.105802+00:00"},{"alias_kind":"pith_short_12","alias_value":"SBY4X7GU27AD","created_at":"2026-07-07T03:18:49.105802+00:00"},{"alias_kind":"pith_short_16","alias_value":"SBY4X7GU27ADQKWS","created_at":"2026-07-07T03:18:49.105802+00:00"},{"alias_kind":"pith_short_8","alias_value":"SBY4X7GU","created_at":"2026-07-07T03:18:49.105802+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/SBY4X7GU27ADQKWSZUTROCMXAM","json":"https://pith.science/pith/SBY4X7GU27ADQKWSZUTROCMXAM.json","graph_json":"https://pith.science/api/pith-number/SBY4X7GU27ADQKWSZUTROCMXAM/graph.json","events_json":"https://pith.science/api/pith-number/SBY4X7GU27ADQKWSZUTROCMXAM/events.json","paper":"https://pith.science/paper/SBY4X7GU"},"agent_actions":{"view_html":"https://pith.science/pith/SBY4X7GU27ADQKWSZUTROCMXAM","download_json":"https://pith.science/pith/SBY4X7GU27ADQKWSZUTROCMXAM.json","view_paper":"https://pith.science/paper/SBY4X7GU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2509.10921&json=true","fetch_graph":"https://pith.science/api/pith-number/SBY4X7GU27ADQKWSZUTROCMXAM/graph.json","fetch_events":"https://pith.science/api/pith-number/SBY4X7GU27ADQKWSZUTROCMXAM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SBY4X7GU27ADQKWSZUTROCMXAM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SBY4X7GU27ADQKWSZUTROCMXAM/action/storage_attestation","attest_author":"https://pith.science/pith/SBY4X7GU27ADQKWSZUTROCMXAM/action/author_attestation","sign_citation":"https://pith.science/pith/SBY4X7GU27ADQKWSZUTROCMXAM/action/citation_signature","submit_replication":"https://pith.science/pith/SBY4X7GU27ADQKWSZUTROCMXAM/action/replication_record"}},"created_at":"2026-07-07T03:18:49.105802+00:00","updated_at":"2026-07-07T03:18:49.105802+00:00"}