{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:P5ZICKLPY5O42PSO72TQR3GKCG","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":"461e461b7b464718a5b583fe84b3efda8630c0a8e14a7883340fe37dfa942a74","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"1994-05-09T21:02:34Z","title_canon_sha256":"2ee4c7f31dd209794a77ca1e2ba932242933490f167043c00825014cbfae57f8"},"schema_version":"1.0","source":{"id":"gr-qc/9405024","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9405024","created_at":"2026-07-04T15:07:25Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9405024v2","created_at":"2026-07-04T15:07:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9405024","created_at":"2026-07-04T15:07:25Z"},{"alias_kind":"pith_short_12","alias_value":"P5ZICKLPY5O4","created_at":"2026-07-04T15:07:25Z"},{"alias_kind":"pith_short_16","alias_value":"P5ZICKLPY5O42PSO","created_at":"2026-07-04T15:07:25Z"},{"alias_kind":"pith_short_8","alias_value":"P5ZICKLP","created_at":"2026-07-04T15:07:25Z"}],"graph_snapshots":[{"event_id":"sha256:6d98f1bcc4354c3d99d4ed7f91aba2c8b7890ff24210a3cc647dc455d30e91be","target":"graph","created_at":"2026-07-04T15:07:25Z","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/gr-qc/9405024/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The first objective of this article is to show that the black hole partition function can be placed on a firm logical foundation by enclosing the black hole in a spatially finite \"box\" or boundary. The presence of the box has the effect of stabilizing the black hole and yields a system with a positive heat capacity. The second objective of this article is to explore the origin of black hole entropy. This is accomplished through the construction of a path integral expression for the density matrix for the gravitational field, and through an analysis of the connection between the density matrix ","authors_text":"J.D. Brown, J.W. York","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1994-05-09T21:02:34Z","title":"The Path Integral Formulation of Gravitational Thermodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9405024","kind":"arxiv","version":2},"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:ec2b7e9988afb36ceb7a413a864d4924c7aa84be029adccd6424eb454485f4f4","target":"record","created_at":"2026-07-04T15:07:25Z","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":"461e461b7b464718a5b583fe84b3efda8630c0a8e14a7883340fe37dfa942a74","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"1994-05-09T21:02:34Z","title_canon_sha256":"2ee4c7f31dd209794a77ca1e2ba932242933490f167043c00825014cbfae57f8"},"schema_version":"1.0","source":{"id":"gr-qc/9405024","kind":"arxiv","version":2}},"canonical_sha256":"7f7281296fc75dcd3e4efea708ecca1189b91a83179b41839daaf0eae5442f1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f7281296fc75dcd3e4efea708ecca1189b91a83179b41839daaf0eae5442f1e","first_computed_at":"2026-07-04T15:07:25.315838Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:07:25.315838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LGGaZ2oMRS+ZEAUrPc4qVnushO21CUL4Kfr+r2nX7XaU1+GWd+nfCq2ISOP4xK08hqJ4F49whOliKCsa29DdBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:07:25.316276Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9405024","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec2b7e9988afb36ceb7a413a864d4924c7aa84be029adccd6424eb454485f4f4","sha256:6d98f1bcc4354c3d99d4ed7f91aba2c8b7890ff24210a3cc647dc455d30e91be"],"state_sha256":"b7040d6d4c48697a1bcb8b1f3a95072a8bfb9802e732abe97fdac80737919ceb"}