{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:F4UWOHHQMXTSQYO2LNNJX53WPN","short_pith_number":"pith:F4UWOHHQ","schema_version":"1.0","canonical_sha256":"2f29671cf065e72861da5b5a9bf7767b61313538b5340f1f52d0e60cc3197792","source":{"kind":"arxiv","id":"2308.01082","version":2},"attestation_state":"computed","paper":{"title":"Black hole thermodynamics in Horndeski theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Kei-ichi Maeda, Masato Minamitsuji","submitted_at":"2023-08-02T11:12:34Z","abstract_excerpt":"We investigate thermodynamics of static and spherically symmetric black holes (BHs) in the Horndeski theories. Because of the presence of the higher-derivative interactions and the nonminimal derivative couplings of the scalar field, the standard Wald entropy formula may not be directly applicable. Hence, following the original formulation by Iyer and Wald, we obtain the differentials of the BH entropy and the total mass of the system in the Horndeski theories, which lead to the first-law of thermodynamics via the conservation of the Hamiltonian. Our formulation covers the case of the static a"},"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":"2308.01082","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-08-02T11:12:34Z","cross_cats_sorted":[],"title_canon_sha256":"4c9ad095894838db394be2bd2ef1f5a7b976a67541411d16a1d3a53cecbd9572","abstract_canon_sha256":"04d6b95d56b33d50d8e45eb0c9c8b0d056ff2436a0336a8ed9638ceb9c5cee3c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:53:09.035202Z","signature_b64":"4kjb/nrPhwW0b9Nw/i3GWMC/0FH23Vn2gNboRUiqmp5bJVjtQsT8u6LszGn63VPHvWY+FLq+EP9FF/HAP3v3AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f29671cf065e72861da5b5a9bf7767b61313538b5340f1f52d0e60cc3197792","last_reissued_at":"2026-07-05T06:53:09.034768Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:53:09.034768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Black hole thermodynamics in Horndeski theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Kei-ichi Maeda, Masato Minamitsuji","submitted_at":"2023-08-02T11:12:34Z","abstract_excerpt":"We investigate thermodynamics of static and spherically symmetric black holes (BHs) in the Horndeski theories. Because of the presence of the higher-derivative interactions and the nonminimal derivative couplings of the scalar field, the standard Wald entropy formula may not be directly applicable. Hence, following the original formulation by Iyer and Wald, we obtain the differentials of the BH entropy and the total mass of the system in the Horndeski theories, which lead to the first-law of thermodynamics via the conservation of the Hamiltonian. Our formulation covers the case of the static a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.01082","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/2308.01082/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":"2308.01082","created_at":"2026-07-05T06:53:09.034825+00:00"},{"alias_kind":"arxiv_version","alias_value":"2308.01082v2","created_at":"2026-07-05T06:53:09.034825+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.01082","created_at":"2026-07-05T06:53:09.034825+00:00"},{"alias_kind":"pith_short_12","alias_value":"F4UWOHHQMXTS","created_at":"2026-07-05T06:53:09.034825+00:00"},{"alias_kind":"pith_short_16","alias_value":"F4UWOHHQMXTSQYO2","created_at":"2026-07-05T06:53:09.034825+00:00"},{"alias_kind":"pith_short_8","alias_value":"F4UWOHHQ","created_at":"2026-07-05T06:53:09.034825+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.14711","citing_title":"Black holes and neutron stars in massive Hellings-Nordtvedt theory","ref_index":38,"is_internal_anchor":false},{"citing_arxiv_id":"2605.22429","citing_title":"Black Hole Entropy Beyond the Wald Term in Nonminimally Coupled Gravity: A Covariant Phase Space Decomposition","ref_index":22,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/F4UWOHHQMXTSQYO2LNNJX53WPN","json":"https://pith.science/pith/F4UWOHHQMXTSQYO2LNNJX53WPN.json","graph_json":"https://pith.science/api/pith-number/F4UWOHHQMXTSQYO2LNNJX53WPN/graph.json","events_json":"https://pith.science/api/pith-number/F4UWOHHQMXTSQYO2LNNJX53WPN/events.json","paper":"https://pith.science/paper/F4UWOHHQ"},"agent_actions":{"view_html":"https://pith.science/pith/F4UWOHHQMXTSQYO2LNNJX53WPN","download_json":"https://pith.science/pith/F4UWOHHQMXTSQYO2LNNJX53WPN.json","view_paper":"https://pith.science/paper/F4UWOHHQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2308.01082&json=true","fetch_graph":"https://pith.science/api/pith-number/F4UWOHHQMXTSQYO2LNNJX53WPN/graph.json","fetch_events":"https://pith.science/api/pith-number/F4UWOHHQMXTSQYO2LNNJX53WPN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F4UWOHHQMXTSQYO2LNNJX53WPN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F4UWOHHQMXTSQYO2LNNJX53WPN/action/storage_attestation","attest_author":"https://pith.science/pith/F4UWOHHQMXTSQYO2LNNJX53WPN/action/author_attestation","sign_citation":"https://pith.science/pith/F4UWOHHQMXTSQYO2LNNJX53WPN/action/citation_signature","submit_replication":"https://pith.science/pith/F4UWOHHQMXTSQYO2LNNJX53WPN/action/replication_record"}},"created_at":"2026-07-05T06:53:09.034825+00:00","updated_at":"2026-07-05T06:53:09.034825+00:00"}