{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:3J2HFIJIL63QLTTRNXOX6G5KFF","short_pith_number":"pith:3J2HFIJI","canonical_record":{"source":{"id":"1312.7478","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-28T22:54:44Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"95b17c634c096f5888e2caacf6e54dfaff8a8d1d39ca6e587815411a8a2bcd56","abstract_canon_sha256":"6b410f78c3dcdec0be7ad7da36d11bb4ee414cebcc5105cd1f0dcbe889c412ee"},"schema_version":"1.0"},"canonical_sha256":"da7472a1285fb705ce716ddd7f1baa294b96c75494c349f2bcc7bcdc40584269","source":{"kind":"arxiv","id":"1312.7478","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7478","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7478v1","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7478","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"pith_short_12","alias_value":"3J2HFIJIL63Q","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3J2HFIJIL63QLTTR","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3J2HFIJI","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:3J2HFIJIL63QLTTRNXOX6G5KFF","target":"record","payload":{"canonical_record":{"source":{"id":"1312.7478","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-28T22:54:44Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"95b17c634c096f5888e2caacf6e54dfaff8a8d1d39ca6e587815411a8a2bcd56","abstract_canon_sha256":"6b410f78c3dcdec0be7ad7da36d11bb4ee414cebcc5105cd1f0dcbe889c412ee"},"schema_version":"1.0"},"canonical_sha256":"da7472a1285fb705ce716ddd7f1baa294b96c75494c349f2bcc7bcdc40584269","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:43.358658Z","signature_b64":"4a327JOVUyDQGpSYEmi5DshTjOjUDnafL9nqenMYFdZPOfdIwUR8CyvyawuRSMXWrU7TVSujg6X/j5A7MNUyDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da7472a1285fb705ce716ddd7f1baa294b96c75494c349f2bcc7bcdc40584269","last_reissued_at":"2026-05-18T03:03:43.357735Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:43.357735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.7478","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:03:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LuYEohftOqppBJSCvav2J41siqG+HQLeKS8F2/S/2SZhcmeMHBiHaKh7UqTanHY4ktIjd0Y+0CDyQAzJXHyiAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:08:57.327901Z"},"content_sha256":"a3931a4c192a45b60c817599bf90966a502a2aa16d8f160170ea681ef6100760","schema_version":"1.0","event_id":"sha256:a3931a4c192a45b60c817599bf90966a502a2aa16d8f160170ea681ef6100760"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:3J2HFIJIL63QLTTRNXOX6G5KFF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravitational energy, gravitational pressure, and the thermodynamics of a charged black hole in teleparallel gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"J. F. da Rocha-Neto, K. H. C. Castello-Branco","submitted_at":"2013-12-28T22:54:44Z","abstract_excerpt":"We investigate, in the case of a Reissner-Nordstr\\\"om black hole, the definitions of gravitational energy and gravitational pressure that naturally arise in the framework of the Teleparallel Equivalent of General Relativity. In particular, we calculate the gravitational energy enclosed by the event horizon of the black hole, E, and the radial pressure over it, p. With these quantities we then analyse the thermodynamic relation dE + pdV (as p turns out to be a density, dV is actually given by dV = dr d\\theta d\\phi, in spherically-type coordinates). We compare the latter with the standard first "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7478","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:03:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wMR+hRf2tbo9PkEIUh7hLulV/Z/0TMAe6tg1Sa2cPT9+z7HMsY9OzPNzfCeRsD8uJwGOlV7kXgiPZXM8X5RhDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:08:57.328560Z"},"content_sha256":"ad65938d05f0406b01780cb350044cde16c3af5aa9b8c45df0ef525e254b7da9","schema_version":"1.0","event_id":"sha256:ad65938d05f0406b01780cb350044cde16c3af5aa9b8c45df0ef525e254b7da9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3J2HFIJIL63QLTTRNXOX6G5KFF/bundle.json","state_url":"https://pith.science/pith/3J2HFIJIL63QLTTRNXOX6G5KFF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3J2HFIJIL63QLTTRNXOX6G5KFF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T15:08:57Z","links":{"resolver":"https://pith.science/pith/3J2HFIJIL63QLTTRNXOX6G5KFF","bundle":"https://pith.science/pith/3J2HFIJIL63QLTTRNXOX6G5KFF/bundle.json","state":"https://pith.science/pith/3J2HFIJIL63QLTTRNXOX6G5KFF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3J2HFIJIL63QLTTRNXOX6G5KFF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3J2HFIJIL63QLTTRNXOX6G5KFF","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":"6b410f78c3dcdec0be7ad7da36d11bb4ee414cebcc5105cd1f0dcbe889c412ee","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-28T22:54:44Z","title_canon_sha256":"95b17c634c096f5888e2caacf6e54dfaff8a8d1d39ca6e587815411a8a2bcd56"},"schema_version":"1.0","source":{"id":"1312.7478","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7478","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7478v1","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7478","created_at":"2026-05-18T03:03:43Z"},{"alias_kind":"pith_short_12","alias_value":"3J2HFIJIL63Q","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3J2HFIJIL63QLTTR","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3J2HFIJI","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:ad65938d05f0406b01780cb350044cde16c3af5aa9b8c45df0ef525e254b7da9","target":"graph","created_at":"2026-05-18T03:03:43Z","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"},"paper":{"abstract_excerpt":"We investigate, in the case of a Reissner-Nordstr\\\"om black hole, the definitions of gravitational energy and gravitational pressure that naturally arise in the framework of the Teleparallel Equivalent of General Relativity. In particular, we calculate the gravitational energy enclosed by the event horizon of the black hole, E, and the radial pressure over it, p. With these quantities we then analyse the thermodynamic relation dE + pdV (as p turns out to be a density, dV is actually given by dV = dr d\\theta d\\phi, in spherically-type coordinates). We compare the latter with the standard first ","authors_text":"J. F. da Rocha-Neto, K. H. C. Castello-Branco","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-28T22:54:44Z","title":"Gravitational energy, gravitational pressure, and the thermodynamics of a charged black hole in teleparallel gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7478","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:a3931a4c192a45b60c817599bf90966a502a2aa16d8f160170ea681ef6100760","target":"record","created_at":"2026-05-18T03:03:43Z","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":"6b410f78c3dcdec0be7ad7da36d11bb4ee414cebcc5105cd1f0dcbe889c412ee","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-12-28T22:54:44Z","title_canon_sha256":"95b17c634c096f5888e2caacf6e54dfaff8a8d1d39ca6e587815411a8a2bcd56"},"schema_version":"1.0","source":{"id":"1312.7478","kind":"arxiv","version":1}},"canonical_sha256":"da7472a1285fb705ce716ddd7f1baa294b96c75494c349f2bcc7bcdc40584269","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da7472a1285fb705ce716ddd7f1baa294b96c75494c349f2bcc7bcdc40584269","first_computed_at":"2026-05-18T03:03:43.357735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:43.357735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4a327JOVUyDQGpSYEmi5DshTjOjUDnafL9nqenMYFdZPOfdIwUR8CyvyawuRSMXWrU7TVSujg6X/j5A7MNUyDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:43.358658Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.7478","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3931a4c192a45b60c817599bf90966a502a2aa16d8f160170ea681ef6100760","sha256:ad65938d05f0406b01780cb350044cde16c3af5aa9b8c45df0ef525e254b7da9"],"state_sha256":"d49d0b066d2594504114040518302803a199b265550a71a86a6cd6ff0bafba74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YpmFsPiGnS+kqFU62osisOfHNPOqS4x6S2iUZLjmVdltPUzYf4jl7a6U2H0C+5KtTD5OHlEeAGwi0Xx0AVMpAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T15:08:57.331817Z","bundle_sha256":"02517ca3fb5e7da51d619ddb712562cf3d6b5dd0319ceabdd3affb66e37fb43d"}}