{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:IPLKWRAHS4TBOVIG5FZV5RJ7IR","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":"27824f73011a37bfc3a24cc15e19bf0d51c961f8536e497579fa61b8b9f721b0","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2019-01-14T04:55:42Z","title_canon_sha256":"bc8d851077c92035c11b19a407a9fd0e7455e5d53c6fb04a296cab6b695258ed"},"schema_version":"1.0","source":{"id":"1901.04128","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.04128","created_at":"2026-05-17T23:55:52Z"},{"alias_kind":"arxiv_version","alias_value":"1901.04128v1","created_at":"2026-05-17T23:55:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.04128","created_at":"2026-05-17T23:55:52Z"},{"alias_kind":"pith_short_12","alias_value":"IPLKWRAHS4TB","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"IPLKWRAHS4TBOVIG","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"IPLKWRAH","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:e2f54eaa20a1f8179023e3d60ca7f23d17b6219789497a7ee26d884696e4cc68","target":"graph","created_at":"2026-05-17T23:55:52Z","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 calculate the interior volume for the three-dimensional Banados-Teitelboim-Zanelli black hole in this paper. To that end, we obtain the volume functional and numerically find a path to extremize it, before choosing a spacelike hypersurface to get an asymptotic analytical expression for the interior volume based on the characteristics of the path.","authors_text":"Ming Zhang","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2019-01-14T04:55:42Z","title":"Interior Volume of Banados-Teitelboim-Zanelli Black Hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.04128","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":"sha256:8810d25706e85cf0c58d1cb6081b96af00d7418cc1e9ce46f3ec3c6c1c80b4ee","target":"record","created_at":"2026-05-17T23:55:52Z","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":"27824f73011a37bfc3a24cc15e19bf0d51c961f8536e497579fa61b8b9f721b0","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2019-01-14T04:55:42Z","title_canon_sha256":"bc8d851077c92035c11b19a407a9fd0e7455e5d53c6fb04a296cab6b695258ed"},"schema_version":"1.0","source":{"id":"1901.04128","kind":"arxiv","version":1}},"canonical_sha256":"43d6ab44079726175506e9735ec53f44715189f3ca424c8ebf1f2322a3125c8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43d6ab44079726175506e9735ec53f44715189f3ca424c8ebf1f2322a3125c8f","first_computed_at":"2026-05-17T23:55:52.784169Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:52.784169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dcaVR9+n3UOsOdC6Z/bJYV99n+UbGbTvJ25klSVm42fTC8AsmH5UuOCT8UPEJV3HOUlXL6O3XhXBlqXkiK2ZBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:52.784759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.04128","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8810d25706e85cf0c58d1cb6081b96af00d7418cc1e9ce46f3ec3c6c1c80b4ee","sha256:e2f54eaa20a1f8179023e3d60ca7f23d17b6219789497a7ee26d884696e4cc68"],"state_sha256":"6197887a19e5141a0c271e483b203ecbaa19a94ebb4daa3f14b2a7f396d0f1c4"}