{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:BRUCAIIQP4UCICWZPKG4YP4RF4","short_pith_number":"pith:BRUCAIIQ","canonical_record":{"source":{"id":"gr-qc/9508002","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1995-08-02T04:23:54Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e22c2173d1ebc8a7186fad32b778e82153a4854eed855e1f4457df3e5cdbedc9","abstract_canon_sha256":"f40ef80ffe5dcb56696ddcd4da3f218e8b61a72b7789fce08286b966f7976560"},"schema_version":"1.0"},"canonical_sha256":"0c682021107f28240ad97a8dcc3f912f104645eb2e6e2204a1a71f6569df6cb9","source":{"kind":"arxiv","id":"gr-qc/9508002","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9508002","created_at":"2026-07-04T14:26:02Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9508002v1","created_at":"2026-07-04T14:26:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9508002","created_at":"2026-07-04T14:26:02Z"},{"alias_kind":"pith_short_12","alias_value":"BRUCAIIQP4UC","created_at":"2026-07-04T14:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"BRUCAIIQP4UCICWZ","created_at":"2026-07-04T14:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"BRUCAIIQ","created_at":"2026-07-04T14:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:BRUCAIIQP4UCICWZPKG4YP4RF4","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9508002","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1995-08-02T04:23:54Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e22c2173d1ebc8a7186fad32b778e82153a4854eed855e1f4457df3e5cdbedc9","abstract_canon_sha256":"f40ef80ffe5dcb56696ddcd4da3f218e8b61a72b7789fce08286b966f7976560"},"schema_version":"1.0"},"canonical_sha256":"0c682021107f28240ad97a8dcc3f912f104645eb2e6e2204a1a71f6569df6cb9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:26:02.917364Z","signature_b64":"xMD8lMmPMkRP5Zb81Y/r9G3liMw0gUQpKYMMzvR8CAVZ9FJQYN+e/hYDF7HuzxeZuKwcY71ZQQxfdEHYdmusBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c682021107f28240ad97a8dcc3f912f104645eb2e6e2204a1a71f6569df6cb9","last_reissued_at":"2026-07-04T14:26:02.916971Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:26:02.916971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9508002","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":"2026-07-04T14:26:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WB7V/K5rb/ErEM2HcWBM1uYCjjbfFRREqqjG3JN8BTjDF9Ujoo3Z9PEosz3Z105UfTl2BOWWz46aUDX7WjWsAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T19:07:40.190020Z"},"content_sha256":"fecc80cafa7bb7291ef379c098e3a6957068e731c4700a2a70eb4c09a15051c4","schema_version":"1.0","event_id":"sha256:fecc80cafa7bb7291ef379c098e3a6957068e731c4700a2a70eb4c09a15051c4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:BRUCAIIQP4UCICWZPKG4YP4RF4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two Topics concerning Black Holes: Extremality of the Energy, Fractality of the Horizon","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Rafael D. Sorkin (Syracuse University, UNAM)","submitted_at":"1995-08-02T04:23:54Z","abstract_excerpt":"We treat two aspects of the physics of stationary black holes. First we prove that the proportionality, d(energy) ~ d(area) for arbitrary perturbations (``extended first law''), follows directly from an extremality theorem drawn from earlier work. Second we consider quantum fluctuations in the shape of the horizon, concluding heuristically that they exhibit a fractal character, with order lambda fluctuations occurring on all scales lambda below M^{1/3} in natural units."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9508002","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/9508002/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:26:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ByNcKo+seoeGRKLOz32hnDUjpRIZvmFA27Fp0k1lCSmJFWBxjmvY/n7osmfPPf4JGlZBEIjMuru8PtrQeWY4AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T19:07:40.190505Z"},"content_sha256":"3712474eea7139edd931823a9b471fed76dd3748950c559c382811b458806e3b","schema_version":"1.0","event_id":"sha256:3712474eea7139edd931823a9b471fed76dd3748950c559c382811b458806e3b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BRUCAIIQP4UCICWZPKG4YP4RF4/bundle.json","state_url":"https://pith.science/pith/BRUCAIIQP4UCICWZPKG4YP4RF4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BRUCAIIQP4UCICWZPKG4YP4RF4/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":"2026-08-04T19:07:40Z","links":{"resolver":"https://pith.science/pith/BRUCAIIQP4UCICWZPKG4YP4RF4","bundle":"https://pith.science/pith/BRUCAIIQP4UCICWZPKG4YP4RF4/bundle.json","state":"https://pith.science/pith/BRUCAIIQP4UCICWZPKG4YP4RF4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BRUCAIIQP4UCICWZPKG4YP4RF4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:BRUCAIIQP4UCICWZPKG4YP4RF4","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":"f40ef80ffe5dcb56696ddcd4da3f218e8b61a72b7789fce08286b966f7976560","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"1995-08-02T04:23:54Z","title_canon_sha256":"e22c2173d1ebc8a7186fad32b778e82153a4854eed855e1f4457df3e5cdbedc9"},"schema_version":"1.0","source":{"id":"gr-qc/9508002","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9508002","created_at":"2026-07-04T14:26:02Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9508002v1","created_at":"2026-07-04T14:26:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9508002","created_at":"2026-07-04T14:26:02Z"},{"alias_kind":"pith_short_12","alias_value":"BRUCAIIQP4UC","created_at":"2026-07-04T14:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"BRUCAIIQP4UCICWZ","created_at":"2026-07-04T14:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"BRUCAIIQ","created_at":"2026-07-04T14:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:3712474eea7139edd931823a9b471fed76dd3748950c559c382811b458806e3b","target":"graph","created_at":"2026-07-04T14:26:02Z","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/9508002/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We treat two aspects of the physics of stationary black holes. First we prove that the proportionality, d(energy) ~ d(area) for arbitrary perturbations (``extended first law''), follows directly from an extremality theorem drawn from earlier work. Second we consider quantum fluctuations in the shape of the horizon, concluding heuristically that they exhibit a fractal character, with order lambda fluctuations occurring on all scales lambda below M^{1/3} in natural units.","authors_text":"Rafael D. Sorkin (Syracuse University, UNAM)","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1995-08-02T04:23:54Z","title":"Two Topics concerning Black Holes: Extremality of the Energy, Fractality of the Horizon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9508002","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:fecc80cafa7bb7291ef379c098e3a6957068e731c4700a2a70eb4c09a15051c4","target":"record","created_at":"2026-07-04T14:26:02Z","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":"f40ef80ffe5dcb56696ddcd4da3f218e8b61a72b7789fce08286b966f7976560","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"1995-08-02T04:23:54Z","title_canon_sha256":"e22c2173d1ebc8a7186fad32b778e82153a4854eed855e1f4457df3e5cdbedc9"},"schema_version":"1.0","source":{"id":"gr-qc/9508002","kind":"arxiv","version":1}},"canonical_sha256":"0c682021107f28240ad97a8dcc3f912f104645eb2e6e2204a1a71f6569df6cb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c682021107f28240ad97a8dcc3f912f104645eb2e6e2204a1a71f6569df6cb9","first_computed_at":"2026-07-04T14:26:02.916971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:26:02.916971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xMD8lMmPMkRP5Zb81Y/r9G3liMw0gUQpKYMMzvR8CAVZ9FJQYN+e/hYDF7HuzxeZuKwcY71ZQQxfdEHYdmusBg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:26:02.917364Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9508002","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fecc80cafa7bb7291ef379c098e3a6957068e731c4700a2a70eb4c09a15051c4","sha256:3712474eea7139edd931823a9b471fed76dd3748950c559c382811b458806e3b"],"state_sha256":"3be2a6ec69cb0a0a1f8e0ec968eda8dba8a9f2b9c74b06704499af85debe6838"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UOc4DmW3y9qqt3MuSVacgwN8CcJ0MdZxEFciVXIOUorN9ERBGTN2fiDyW/EYNjs1q8Iozv8NMB2pLNoKCgs8AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T19:07:40.194884Z","bundle_sha256":"bb27a27ff86f657e9244f891132fe50b882ff380eaf24fb9293b93ff2d53c7b0"}}