{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QNS44THPD4XNMPK36VUUXLVYPM","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":"7cbd2a197a20b8c17d82b3e75436ce7d7e99948bec5f7b183894be908b7d18ca","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-01-18T13:18:52Z","title_canon_sha256":"5aad676b4c542bec4b661e4a2379746ee32c47ef0cdacd6d61e998033424e06e"},"schema_version":"1.0","source":{"id":"1901.06216","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.06216","created_at":"2026-07-05T00:30:56Z"},{"alias_kind":"arxiv_version","alias_value":"1901.06216v1","created_at":"2026-07-05T00:30:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.06216","created_at":"2026-07-05T00:30:56Z"},{"alias_kind":"pith_short_12","alias_value":"QNS44THPD4XN","created_at":"2026-07-05T00:30:56Z"},{"alias_kind":"pith_short_16","alias_value":"QNS44THPD4XNMPK3","created_at":"2026-07-05T00:30:56Z"},{"alias_kind":"pith_short_8","alias_value":"QNS44THP","created_at":"2026-07-05T00:30:56Z"}],"graph_snapshots":[{"event_id":"sha256:a751056e490ff7380edbf1007d65d10ad2de7922a29134d462350e052fd3089d","target":"graph","created_at":"2026-07-05T00:30:56Z","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/1901.06216/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss the thermodynamics of a general nonlinear electrodynamics (NLED) asymptotically flat black hole enclosed in a finite spherical cavity. A canonical ensemble is considered, which means that the temperature and the charge on the wall of the cavity are fixed. After the free energy is obtained by computing the Euclidean action, it shows that the first law of thermodynamics is satisfied at the locally stationary points of the free energy. Focusing on a Born-Infeld (BI) black hole in a cavity, the phase structure and transition in various regions of the parameter space are investigated. In","authors_text":"Haitang Yang, Houwen Wu, Peng Wang","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-01-18T13:18:52Z","title":"Thermodynamics and Phase Transition of a Nonlinear Electrodynamics Black Hole in a Cavity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.06216","kind":"arxiv","version":1},"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:ab85b4bf0483d7a8daceb7205d348a455cbf122aa38391523046ce27b84baeed","target":"record","created_at":"2026-07-05T00:30:56Z","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":"7cbd2a197a20b8c17d82b3e75436ce7d7e99948bec5f7b183894be908b7d18ca","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-01-18T13:18:52Z","title_canon_sha256":"5aad676b4c542bec4b661e4a2379746ee32c47ef0cdacd6d61e998033424e06e"},"schema_version":"1.0","source":{"id":"1901.06216","kind":"arxiv","version":1}},"canonical_sha256":"8365ce4cef1f2ed63d5bf5694baeb87b0a3e943008d3431b2c2fe3634efbda5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8365ce4cef1f2ed63d5bf5694baeb87b0a3e943008d3431b2c2fe3634efbda5b","first_computed_at":"2026-07-05T00:30:56.248366Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:30:56.248366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tJ3mxOeW8/jj0VCkQgg+wMxMKU2/r52xZ5McVpgOtL6ek8xhZec99OhjNXadjDc73BwQrhdsBwZ0uy12rSi1BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:30:56.248883Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.06216","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab85b4bf0483d7a8daceb7205d348a455cbf122aa38391523046ce27b84baeed","sha256:a751056e490ff7380edbf1007d65d10ad2de7922a29134d462350e052fd3089d"],"state_sha256":"708a4075d28a70411ec1e4cca3a5be20238f253e746085dccc0353481fba4ad0"}