{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:F4UWOHHQMXTSQYO2LNNJX53WPN","short_pith_number":"pith:F4UWOHHQ","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"},"canonical_sha256":"2f29671cf065e72861da5b5a9bf7767b61313538b5340f1f52d0e60cc3197792","source":{"kind":"arxiv","id":"2308.01082","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.01082","created_at":"2026-07-05T06:53:09Z"},{"alias_kind":"arxiv_version","alias_value":"2308.01082v2","created_at":"2026-07-05T06:53:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.01082","created_at":"2026-07-05T06:53:09Z"},{"alias_kind":"pith_short_12","alias_value":"F4UWOHHQMXTS","created_at":"2026-07-05T06:53:09Z"},{"alias_kind":"pith_short_16","alias_value":"F4UWOHHQMXTSQYO2","created_at":"2026-07-05T06:53:09Z"},{"alias_kind":"pith_short_8","alias_value":"F4UWOHHQ","created_at":"2026-07-05T06:53:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:F4UWOHHQMXTSQYO2LNNJX53WPN","target":"record","payload":{"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"},"canonical_sha256":"2f29671cf065e72861da5b5a9bf7767b61313538b5340f1f52d0e60cc3197792","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"},"source_kind":"arxiv","source_id":"2308.01082","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:53:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"10ScNKpZmtPu2f8M7y1Hz8IzplAADpU0IQ6Viflt1o0pEQs906pHscFD2vmW5mBfy2UfAYvBs74MWHwd4Em6BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T08:07:23.731778Z"},"content_sha256":"a8d4f2a450cd40bbbad810a4803e3fdea704ce41fd3f596645cd402d37efa950","schema_version":"1.0","event_id":"sha256:a8d4f2a450cd40bbbad810a4803e3fdea704ce41fd3f596645cd402d37efa950"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:F4UWOHHQMXTSQYO2LNNJX53WPN","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:53:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XLU0/3Got0w+b7bNxFuQpHufs4tAqWMmT6T7hlmNBgotfACFVoDzNz5MIfhpycOlyPPZ10dLvwOA/eq+CLebBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T08:07:23.732304Z"},"content_sha256":"537c6a4016e64362b04e39f787e402bd0f4af636d064dc19511264da82b05fba","schema_version":"1.0","event_id":"sha256:537c6a4016e64362b04e39f787e402bd0f4af636d064dc19511264da82b05fba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F4UWOHHQMXTSQYO2LNNJX53WPN/bundle.json","state_url":"https://pith.science/pith/F4UWOHHQMXTSQYO2LNNJX53WPN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F4UWOHHQMXTSQYO2LNNJX53WPN/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":"2026-08-20T08:07:23Z","links":{"resolver":"https://pith.science/pith/F4UWOHHQMXTSQYO2LNNJX53WPN","bundle":"https://pith.science/pith/F4UWOHHQMXTSQYO2LNNJX53WPN/bundle.json","state":"https://pith.science/pith/F4UWOHHQMXTSQYO2LNNJX53WPN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F4UWOHHQMXTSQYO2LNNJX53WPN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:F4UWOHHQMXTSQYO2LNNJX53WPN","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":"04d6b95d56b33d50d8e45eb0c9c8b0d056ff2436a0336a8ed9638ceb9c5cee3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-08-02T11:12:34Z","title_canon_sha256":"4c9ad095894838db394be2bd2ef1f5a7b976a67541411d16a1d3a53cecbd9572"},"schema_version":"1.0","source":{"id":"2308.01082","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.01082","created_at":"2026-07-05T06:53:09Z"},{"alias_kind":"arxiv_version","alias_value":"2308.01082v2","created_at":"2026-07-05T06:53:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.01082","created_at":"2026-07-05T06:53:09Z"},{"alias_kind":"pith_short_12","alias_value":"F4UWOHHQMXTS","created_at":"2026-07-05T06:53:09Z"},{"alias_kind":"pith_short_16","alias_value":"F4UWOHHQMXTSQYO2","created_at":"2026-07-05T06:53:09Z"},{"alias_kind":"pith_short_8","alias_value":"F4UWOHHQ","created_at":"2026-07-05T06:53:09Z"}],"graph_snapshots":[{"event_id":"sha256:537c6a4016e64362b04e39f787e402bd0f4af636d064dc19511264da82b05fba","target":"graph","created_at":"2026-07-05T06:53:09Z","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/2308.01082/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Kei-ichi Maeda, Masato Minamitsuji","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-08-02T11:12:34Z","title":"Black hole thermodynamics in Horndeski theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.01082","kind":"arxiv","version":2},"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:a8d4f2a450cd40bbbad810a4803e3fdea704ce41fd3f596645cd402d37efa950","target":"record","created_at":"2026-07-05T06:53:09Z","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":"04d6b95d56b33d50d8e45eb0c9c8b0d056ff2436a0336a8ed9638ceb9c5cee3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-08-02T11:12:34Z","title_canon_sha256":"4c9ad095894838db394be2bd2ef1f5a7b976a67541411d16a1d3a53cecbd9572"},"schema_version":"1.0","source":{"id":"2308.01082","kind":"arxiv","version":2}},"canonical_sha256":"2f29671cf065e72861da5b5a9bf7767b61313538b5340f1f52d0e60cc3197792","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f29671cf065e72861da5b5a9bf7767b61313538b5340f1f52d0e60cc3197792","first_computed_at":"2026-07-05T06:53:09.034768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:53:09.034768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4kjb/nrPhwW0b9Nw/i3GWMC/0FH23Vn2gNboRUiqmp5bJVjtQsT8u6LszGn63VPHvWY+FLq+EP9FF/HAP3v3AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:53:09.035202Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.01082","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8d4f2a450cd40bbbad810a4803e3fdea704ce41fd3f596645cd402d37efa950","sha256:537c6a4016e64362b04e39f787e402bd0f4af636d064dc19511264da82b05fba"],"state_sha256":"55202dcd9bddbdacad0c4114a36d36f5cb02ad765a2f418fb91bce1e54ef1b09"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a+i1I7h92qmkqZK+6LUJQ1L7PqzuxCUxgxkI1vSltx3U+i7v2xPV20Eas1PDgFaXOvxaUR+IowqNytHOfVpOBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T08:07:23.737676Z","bundle_sha256":"6ecb23342908d356ed3c13b49c8e1dc1adf449486d1d657c74a083af924ed771"}}