{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:JTES3DTDZQ5745IJYWI4VSZZ4F","short_pith_number":"pith:JTES3DTD","schema_version":"1.0","canonical_sha256":"4cc92d8e63cc3bfe7509c591cacb39e14981798cab9f7f51d0386fcd906bd027","source":{"kind":"arxiv","id":"1810.10505","version":1},"attestation_state":"computed","paper":{"title":"Hamilton-Jacobi Formulation of the Thermodynamics of Einstein-Born-Infeld-AdS Black Holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"K{\\i}van\\c{c} \\.I. \\\"Unl\\\"ut\\\"urk, Tekin Dereli","submitted_at":"2018-10-24T17:27:51Z","abstract_excerpt":"A Hamilton-Jacobi formalism for thermodynamics was formulated by Rajeev [Ann. Phys. 323, 2265 (2008)] based on the contact structure of the odd dimensional thermodynamic phase space. This allows one to derive the equations of state of a family of substances by solving a Hamilton-Jacobi equation (HJE). In the same work it was applied to chargeless non-rotating black holes, and the use of Born-Infeld electromagnetism was proposed to apply it to charged black holes as well. This paper fulfills this suggestion by deriving the HJE for charged non-rotating black holes using Born-Infeld theory and 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":"1810.10505","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-10-24T17:27:51Z","cross_cats_sorted":[],"title_canon_sha256":"e0bc58411d7331bb539f973e3d62671695aa4b7dc5d2934b2d95104b7547c1e0","abstract_canon_sha256":"a97137fb5cbe3f206719abaa3fd3a8408444e62ba7b1c2d0104cb6ee7fd1763a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:07.258455Z","signature_b64":"1zOoVRrpVlXV/wAhtV92LwQcB7Ysk2Xt4i/WpcU2Ja284Au41jB0if89Xb/N1glLSzfmbT8YUROww8v7Z0KgCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cc92d8e63cc3bfe7509c591cacb39e14981798cab9f7f51d0386fcd906bd027","last_reissued_at":"2026-05-17T23:55:07.258035Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:07.258035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hamilton-Jacobi Formulation of the Thermodynamics of Einstein-Born-Infeld-AdS Black Holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"K{\\i}van\\c{c} \\.I. \\\"Unl\\\"ut\\\"urk, Tekin Dereli","submitted_at":"2018-10-24T17:27:51Z","abstract_excerpt":"A Hamilton-Jacobi formalism for thermodynamics was formulated by Rajeev [Ann. Phys. 323, 2265 (2008)] based on the contact structure of the odd dimensional thermodynamic phase space. This allows one to derive the equations of state of a family of substances by solving a Hamilton-Jacobi equation (HJE). In the same work it was applied to chargeless non-rotating black holes, and the use of Born-Infeld electromagnetism was proposed to apply it to charged black holes as well. This paper fulfills this suggestion by deriving the HJE for charged non-rotating black holes using Born-Infeld theory and a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.10505","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1810.10505","created_at":"2026-05-17T23:55:07.258094+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.10505v1","created_at":"2026-05-17T23:55:07.258094+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.10505","created_at":"2026-05-17T23:55:07.258094+00:00"},{"alias_kind":"pith_short_12","alias_value":"JTES3DTDZQ57","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_16","alias_value":"JTES3DTDZQ5745IJ","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_8","alias_value":"JTES3DTD","created_at":"2026-05-18T12:32:31.084164+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/JTES3DTDZQ5745IJYWI4VSZZ4F","json":"https://pith.science/pith/JTES3DTDZQ5745IJYWI4VSZZ4F.json","graph_json":"https://pith.science/api/pith-number/JTES3DTDZQ5745IJYWI4VSZZ4F/graph.json","events_json":"https://pith.science/api/pith-number/JTES3DTDZQ5745IJYWI4VSZZ4F/events.json","paper":"https://pith.science/paper/JTES3DTD"},"agent_actions":{"view_html":"https://pith.science/pith/JTES3DTDZQ5745IJYWI4VSZZ4F","download_json":"https://pith.science/pith/JTES3DTDZQ5745IJYWI4VSZZ4F.json","view_paper":"https://pith.science/paper/JTES3DTD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.10505&json=true","fetch_graph":"https://pith.science/api/pith-number/JTES3DTDZQ5745IJYWI4VSZZ4F/graph.json","fetch_events":"https://pith.science/api/pith-number/JTES3DTDZQ5745IJYWI4VSZZ4F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JTES3DTDZQ5745IJYWI4VSZZ4F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JTES3DTDZQ5745IJYWI4VSZZ4F/action/storage_attestation","attest_author":"https://pith.science/pith/JTES3DTDZQ5745IJYWI4VSZZ4F/action/author_attestation","sign_citation":"https://pith.science/pith/JTES3DTDZQ5745IJYWI4VSZZ4F/action/citation_signature","submit_replication":"https://pith.science/pith/JTES3DTDZQ5745IJYWI4VSZZ4F/action/replication_record"}},"created_at":"2026-05-17T23:55:07.258094+00:00","updated_at":"2026-05-17T23:55:07.258094+00:00"}