{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:FQJAZB2WWP7WGHAYUTYAJW6SCV","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":"9ef9ed7b8a26bbacd9902709237b73607c2da2051096a32c76f5116c82c94658","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2003-12-05T05:29:31Z","title_canon_sha256":"eea45962df6d5be67b074daf5f5096c4c002644da23c3ea28d3eea725b8cbcd5"},"schema_version":"1.0","source":{"id":"hep-th/0312059","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0312059","created_at":"2026-07-04T15:20:28Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0312059v3","created_at":"2026-07-04T15:20:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0312059","created_at":"2026-07-04T15:20:28Z"},{"alias_kind":"pith_short_12","alias_value":"FQJAZB2WWP7W","created_at":"2026-07-04T15:20:28Z"},{"alias_kind":"pith_short_16","alias_value":"FQJAZB2WWP7WGHAY","created_at":"2026-07-04T15:20:28Z"},{"alias_kind":"pith_short_8","alias_value":"FQJAZB2W","created_at":"2026-07-04T15:20:28Z"}],"graph_snapshots":[{"event_id":"sha256:0bfe814405546d70077d13531420c9ac103822731aa672cbc346195d2d48cbe0","target":"graph","created_at":"2026-07-04T15:20:28Z","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/hep-th/0312059/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The many low energy modes near a black hole horizon give the thermal atmosphere a divergent entropy which becomes of order $A/4G$ with a Planck scale cut-off. However, Sorkin has given a Newtonian argument for 3+1 Schwarzschild black holes to the effect that fluctuations of such modes provide the horizon with a non-zero quantum mechanical width. This width then effectively enforces a cut-off at much larger distances so that the entropy of the thermal atmosphere is negligible in comparison with $A/4G$ for large black holes. We generalize and improve this result by giving a relativistic argument","authors_text":"Donald Marolf","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-12-05T05:29:31Z","title":"On the quantum width of a black hole horizon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0312059","kind":"arxiv","version":3},"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:a7550ecc56b090629731e11abc0ac0f658953f04bce1273147e7776eb425d728","target":"record","created_at":"2026-07-04T15:20:28Z","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":"9ef9ed7b8a26bbacd9902709237b73607c2da2051096a32c76f5116c82c94658","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2003-12-05T05:29:31Z","title_canon_sha256":"eea45962df6d5be67b074daf5f5096c4c002644da23c3ea28d3eea725b8cbcd5"},"schema_version":"1.0","source":{"id":"hep-th/0312059","kind":"arxiv","version":3}},"canonical_sha256":"2c120c8756b3ff631c18a4f004dbd2157a9e613313819fc424bb7abcee46d378","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c120c8756b3ff631c18a4f004dbd2157a9e613313819fc424bb7abcee46d378","first_computed_at":"2026-07-04T15:20:28.226645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:20:28.226645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hW8KaYwphKJtF/LDikKx2DQ75YYg4xFjokG8HYOAGTslWS2Znx6zgss9JDWjX9j5qxHc5TKEI4nbBzJM9dV2CQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:20:28.227018Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0312059","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7550ecc56b090629731e11abc0ac0f658953f04bce1273147e7776eb425d728","sha256:0bfe814405546d70077d13531420c9ac103822731aa672cbc346195d2d48cbe0"],"state_sha256":"d594d8555f246e2e6fe1419145bbf20c761582b14cacdaac105bc5e6d49ee628"}