{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:EL66VCHKAQDNEWCXZOOG3RBMGU","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":"7816d21c134cc20e4c0c5066d1dc063abe6ffd2066679f40011d9f800c8761eb","cross_cats_sorted":["astro-ph.HE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-08-30T12:13:00Z","title_canon_sha256":"a90854623ae0e29bf4d606c383fb56a03b520306115873b59639ee296d5ee120"},"schema_version":"1.0","source":{"id":"2509.00473","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.00473","created_at":"2026-07-05T12:02:16Z"},{"alias_kind":"arxiv_version","alias_value":"2509.00473v1","created_at":"2026-07-05T12:02:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.00473","created_at":"2026-07-05T12:02:16Z"},{"alias_kind":"pith_short_12","alias_value":"EL66VCHKAQDN","created_at":"2026-07-05T12:02:16Z"},{"alias_kind":"pith_short_16","alias_value":"EL66VCHKAQDNEWCX","created_at":"2026-07-05T12:02:16Z"},{"alias_kind":"pith_short_8","alias_value":"EL66VCHK","created_at":"2026-07-05T12:02:16Z"}],"graph_snapshots":[{"event_id":"sha256:90473c98d3b9b3a360c117289620e2abb2ac419b45dc4e928f34011bfe02188c","target":"graph","created_at":"2026-07-05T12:02:16Z","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/2509.00473/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The paper analyzes the thermodynamic properties of a special state of charged black holes, in which the event horizon becomes point-like and coincides with the singularity. It is shown that for such states, called black points, in contrast to Reissner-Nordstr\\\"{o}m black holes, the third law of thermodynamics in Planck's formulation is fulfilled. It is also shown that the formation of a black point is not a first-order phase transition. Considerable attention is paid to the special state of a black point with a doubly degenerate horizon, similar to the extreme state of a Reissner-Nordstr\\\"om b","authors_text":"Vladimir Sokolov","cross_cats":["astro-ph.HE"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-08-30T12:13:00Z","title":"Thermodynamics of charged black points in vacuum nonlinear electrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.00473","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":"sha256:63cdda4c045f6a12aec2bdc728439481246220b8524eea51e98f70a09aad0f90","target":"record","created_at":"2026-07-05T12:02:16Z","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":"7816d21c134cc20e4c0c5066d1dc063abe6ffd2066679f40011d9f800c8761eb","cross_cats_sorted":["astro-ph.HE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-08-30T12:13:00Z","title_canon_sha256":"a90854623ae0e29bf4d606c383fb56a03b520306115873b59639ee296d5ee120"},"schema_version":"1.0","source":{"id":"2509.00473","kind":"arxiv","version":1}},"canonical_sha256":"22fdea88ea0406d25857cb9c6dc42c3517403b144dbf074a54879fd22d3a1d45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22fdea88ea0406d25857cb9c6dc42c3517403b144dbf074a54879fd22d3a1d45","first_computed_at":"2026-07-05T12:02:16.877984Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:02:16.877984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sdPb+im1hiKJLXf03RPAqRYj+bYZoaSb90MfvP5T/v3RIfpP04wvjxyJPjrRZXp9Kkf6L433abD5iiEcsuX4Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:02:16.878643Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.00473","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63cdda4c045f6a12aec2bdc728439481246220b8524eea51e98f70a09aad0f90","sha256:90473c98d3b9b3a360c117289620e2abb2ac419b45dc4e928f34011bfe02188c"],"state_sha256":"66ec91d40b8cd35a1316dbb6a9a98c57ba1c325e366eb0db4bee924c8a705f1c"}