{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:3454FJKQU4SC5CEXDJOVGYI4R6","short_pith_number":"pith:3454FJKQ","schema_version":"1.0","canonical_sha256":"df3bc2a550a7242e88971a5d53611c8fa28234c25064930b9e6885c51cfadf36","source":{"kind":"arxiv","id":"2511.07209","version":3},"attestation_state":"computed","paper":{"title":"Validity of the Background Subtraction Method for Black Hole Thermodynamics in Matter-Coupled Gravity Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Aonan Zhang, Yong Xiao","submitted_at":"2025-11-10T15:34:08Z","abstract_excerpt":"The background subtraction method has long served as a practical tool for computing the Euclidean action and thermodynamic quantities of black holes. While its equivalence to the Iyer--Wald formalism is well understood in pure gravity theories, its validity in matter-coupled theories remains less clear and has even been questioned in the literature. In this work, we revisit this issue and demonstrate that the equivalence between the Euclidean action method and the Iyer--Wald formalism persists in matter-coupled scenarios. We apply the resulting formulation to two representative examples of suc"},"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":"2511.07209","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-11-10T15:34:08Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a7cf4704df7f907996e4f4b6e37234761f5cbc56eff921110393ed6baab0c90e","abstract_canon_sha256":"41dd39b8627a945df10070b16083a8070739f6d95dd3bc48a9e83200cac34eb0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:00:27.521395Z","signature_b64":"yV6Zi9C7TEKAsGh64MoUxFthE4pfcxdISPc9orr6b3txzC2mSx97RPfQebOQ0ifDycv/xK4XGzv+FP5LVwrPCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df3bc2a550a7242e88971a5d53611c8fa28234c25064930b9e6885c51cfadf36","last_reissued_at":"2026-05-20T00:00:27.520681Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:00:27.520681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Validity of the Background Subtraction Method for Black Hole Thermodynamics in Matter-Coupled Gravity Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Aonan Zhang, Yong Xiao","submitted_at":"2025-11-10T15:34:08Z","abstract_excerpt":"The background subtraction method has long served as a practical tool for computing the Euclidean action and thermodynamic quantities of black holes. While its equivalence to the Iyer--Wald formalism is well understood in pure gravity theories, its validity in matter-coupled theories remains less clear and has even been questioned in the literature. In this work, we revisit this issue and demonstrate that the equivalence between the Euclidean action method and the Iyer--Wald formalism persists in matter-coupled scenarios. We apply the resulting formulation to two representative examples of suc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.07209","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/2511.07209/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":"2511.07209","created_at":"2026-05-20T00:00:27.520796+00:00"},{"alias_kind":"arxiv_version","alias_value":"2511.07209v3","created_at":"2026-05-20T00:00:27.520796+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.07209","created_at":"2026-05-20T00:00:27.520796+00:00"},{"alias_kind":"pith_short_12","alias_value":"3454FJKQU4SC","created_at":"2026-05-20T00:00:27.520796+00:00"},{"alias_kind":"pith_short_16","alias_value":"3454FJKQU4SC5CEX","created_at":"2026-05-20T00:00:27.520796+00:00"},{"alias_kind":"pith_short_8","alias_value":"3454FJKQ","created_at":"2026-05-20T00:00:27.520796+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":3,"sample":[{"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":41,"is_internal_anchor":true},{"citing_arxiv_id":"2512.01916","citing_title":"Explicit and covariant formula for thermodynamic volume in extended black hole thermodynamics","ref_index":30,"is_internal_anchor":true},{"citing_arxiv_id":"2601.00771","citing_title":"Extremalization approach to black hole thermodynamics: perturbations around higher-derivative gravities","ref_index":22,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3454FJKQU4SC5CEXDJOVGYI4R6","json":"https://pith.science/pith/3454FJKQU4SC5CEXDJOVGYI4R6.json","graph_json":"https://pith.science/api/pith-number/3454FJKQU4SC5CEXDJOVGYI4R6/graph.json","events_json":"https://pith.science/api/pith-number/3454FJKQU4SC5CEXDJOVGYI4R6/events.json","paper":"https://pith.science/paper/3454FJKQ"},"agent_actions":{"view_html":"https://pith.science/pith/3454FJKQU4SC5CEXDJOVGYI4R6","download_json":"https://pith.science/pith/3454FJKQU4SC5CEXDJOVGYI4R6.json","view_paper":"https://pith.science/paper/3454FJKQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2511.07209&json=true","fetch_graph":"https://pith.science/api/pith-number/3454FJKQU4SC5CEXDJOVGYI4R6/graph.json","fetch_events":"https://pith.science/api/pith-number/3454FJKQU4SC5CEXDJOVGYI4R6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3454FJKQU4SC5CEXDJOVGYI4R6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3454FJKQU4SC5CEXDJOVGYI4R6/action/storage_attestation","attest_author":"https://pith.science/pith/3454FJKQU4SC5CEXDJOVGYI4R6/action/author_attestation","sign_citation":"https://pith.science/pith/3454FJKQU4SC5CEXDJOVGYI4R6/action/citation_signature","submit_replication":"https://pith.science/pith/3454FJKQU4SC5CEXDJOVGYI4R6/action/replication_record"}},"created_at":"2026-05-20T00:00:27.520796+00:00","updated_at":"2026-05-20T00:00:27.520796+00:00"}