{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ZSVYIKGN4T5PYGC3PHS5IVGAIP","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":"fadb98240e65ec09d23510e551039385eeceae8559746647e3e1aeb0a28dffb6","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-05-18T09:48:25Z","title_canon_sha256":"9726b75da98fbb29a84a71772248d3bbba5967aab33a45fc48fafdb484095498"},"schema_version":"1.0","source":{"id":"2105.08396","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.08396","created_at":"2026-07-05T03:32:03Z"},{"alias_kind":"arxiv_version","alias_value":"2105.08396v3","created_at":"2026-07-05T03:32:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.08396","created_at":"2026-07-05T03:32:03Z"},{"alias_kind":"pith_short_12","alias_value":"ZSVYIKGN4T5P","created_at":"2026-07-05T03:32:03Z"},{"alias_kind":"pith_short_16","alias_value":"ZSVYIKGN4T5PYGC3","created_at":"2026-07-05T03:32:03Z"},{"alias_kind":"pith_short_8","alias_value":"ZSVYIKGN","created_at":"2026-07-05T03:32:03Z"}],"graph_snapshots":[{"event_id":"sha256:9df5b42c80fa9e6adc1c420eac83b13edff7512e81f5f5b0f0fb8b12cb275fb1","target":"graph","created_at":"2026-07-05T03:32:03Z","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/2105.08396/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the capacity of entanglement as a probe of the Hawking radiation in a two-dimensional dilaton gravity coupled with conformal matter of large degrees of freedom. A formula calculating the capacity is derived using the gravitational path integral, from which we speculate that the capacity has a discontinuity at the Page time in contrast to the continuous behavior of the generalized entropy. We apply the formula to a replica wormhole solution in an eternal AdS black hole coupled to a flat non-gravitating bath and show that the capacity of entanglement is saturated by the thermal capac","authors_text":"Kento Watanabe, Kohki Kawabata, Tatsuma Nishioka, Yoshitaka Okuyama","cross_cats":["gr-qc","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-05-18T09:48:25Z","title":"Replica wormholes and capacity of entanglement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.08396","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":"sha256:5afd711f723bd38d5be580994026a89e120af4a3267703278e00ff9335e6a730","target":"record","created_at":"2026-07-05T03:32:03Z","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":"fadb98240e65ec09d23510e551039385eeceae8559746647e3e1aeb0a28dffb6","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-05-18T09:48:25Z","title_canon_sha256":"9726b75da98fbb29a84a71772248d3bbba5967aab33a45fc48fafdb484095498"},"schema_version":"1.0","source":{"id":"2105.08396","kind":"arxiv","version":3}},"canonical_sha256":"ccab8428cde4fafc185b79e5d454c043c2b8cb896c96182744c9de72308a8e52","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ccab8428cde4fafc185b79e5d454c043c2b8cb896c96182744c9de72308a8e52","first_computed_at":"2026-07-05T03:32:03.480152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:32:03.480152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6/8awxqt8E7gWfmXmrYZECNySXY2F5RIluIKnW8ZQTRDdJczAVMT3wrfH/sNneZqSnQaMnBGXt7S3pP1cKxjAg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:32:03.480655Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.08396","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5afd711f723bd38d5be580994026a89e120af4a3267703278e00ff9335e6a730","sha256:9df5b42c80fa9e6adc1c420eac83b13edff7512e81f5f5b0f0fb8b12cb275fb1"],"state_sha256":"2083c2b428037b250a0566a3c83d57c870dd0611cdde0ae3d738314ee9d272b8"}