{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:U6R2VG6BCLWZHMNEGTHWYCFZJB","short_pith_number":"pith:U6R2VG6B","schema_version":"1.0","canonical_sha256":"a7a3aa9bc112ed93b1a434cf6c08b9487bc0fc153da653629a586d85456f0ec1","source":{"kind":"arxiv","id":"1203.2279","version":2},"attestation_state":"computed","paper":{"title":"Black hole free energy during charged collapse: a numerical study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Ariel Edery, Hugues Beauchesne","submitted_at":"2012-03-10T20:40:37Z","abstract_excerpt":"We perform a numerical investigation of the thermodynamics during the collapse of a charged (complex) scalar field to a Reissner-Nordstr\\\"om (RN) black hole in isotropic coordinates. Numerical work on gravitational collapse in isotropic coordinates has recently shown that the negative of the total Lagrangian approaches the Helmholtz free energy F= E-TS of a Schwarzschild black hole at late times of the collapse (where E is the black hole mass, T the temperature and S the entropy). The relevant thermodynamic potential for the RN black hole is the Gibbs free energy G=E-TS-$\\Phi_H$ Q where Q is t"},"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":"1203.2279","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-10T20:40:37Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8fb7b7b319ec05a6761877757957e31fce3e759885e06f0fedd1c05bdf33af59","abstract_canon_sha256":"99978092954cf63cb71d89bfffa5b1f759f623b2b699370602c6d5e9e7b77963"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:10.293594Z","signature_b64":"QQp9HaH3UBYJSIc6InqCZV2FPz8op9y+dIKNdr38db92excoSTEMpNhBrtj/KcWEFUaOYcq5RhncrwCsm2dVCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7a3aa9bc112ed93b1a434cf6c08b9487bc0fc153da653629a586d85456f0ec1","last_reissued_at":"2026-05-18T01:58:10.293038Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:10.293038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Black hole free energy during charged collapse: a numerical study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Ariel Edery, Hugues Beauchesne","submitted_at":"2012-03-10T20:40:37Z","abstract_excerpt":"We perform a numerical investigation of the thermodynamics during the collapse of a charged (complex) scalar field to a Reissner-Nordstr\\\"om (RN) black hole in isotropic coordinates. Numerical work on gravitational collapse in isotropic coordinates has recently shown that the negative of the total Lagrangian approaches the Helmholtz free energy F= E-TS of a Schwarzschild black hole at late times of the collapse (where E is the black hole mass, T the temperature and S the entropy). The relevant thermodynamic potential for the RN black hole is the Gibbs free energy G=E-TS-$\\Phi_H$ Q where Q is t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2279","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":""},"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":"1203.2279","created_at":"2026-05-18T01:58:10.293125+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.2279v2","created_at":"2026-05-18T01:58:10.293125+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.2279","created_at":"2026-05-18T01:58:10.293125+00:00"},{"alias_kind":"pith_short_12","alias_value":"U6R2VG6BCLWZ","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"U6R2VG6BCLWZHMNE","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"U6R2VG6B","created_at":"2026-05-18T12:27:23.164592+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/U6R2VG6BCLWZHMNEGTHWYCFZJB","json":"https://pith.science/pith/U6R2VG6BCLWZHMNEGTHWYCFZJB.json","graph_json":"https://pith.science/api/pith-number/U6R2VG6BCLWZHMNEGTHWYCFZJB/graph.json","events_json":"https://pith.science/api/pith-number/U6R2VG6BCLWZHMNEGTHWYCFZJB/events.json","paper":"https://pith.science/paper/U6R2VG6B"},"agent_actions":{"view_html":"https://pith.science/pith/U6R2VG6BCLWZHMNEGTHWYCFZJB","download_json":"https://pith.science/pith/U6R2VG6BCLWZHMNEGTHWYCFZJB.json","view_paper":"https://pith.science/paper/U6R2VG6B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.2279&json=true","fetch_graph":"https://pith.science/api/pith-number/U6R2VG6BCLWZHMNEGTHWYCFZJB/graph.json","fetch_events":"https://pith.science/api/pith-number/U6R2VG6BCLWZHMNEGTHWYCFZJB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U6R2VG6BCLWZHMNEGTHWYCFZJB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U6R2VG6BCLWZHMNEGTHWYCFZJB/action/storage_attestation","attest_author":"https://pith.science/pith/U6R2VG6BCLWZHMNEGTHWYCFZJB/action/author_attestation","sign_citation":"https://pith.science/pith/U6R2VG6BCLWZHMNEGTHWYCFZJB/action/citation_signature","submit_replication":"https://pith.science/pith/U6R2VG6BCLWZHMNEGTHWYCFZJB/action/replication_record"}},"created_at":"2026-05-18T01:58:10.293125+00:00","updated_at":"2026-05-18T01:58:10.293125+00:00"}