{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:SJTAGQVNJLAFQCE7HGV64VA5A3","short_pith_number":"pith:SJTAGQVN","canonical_record":{"source":{"id":"2109.07842","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-09-16T10:10:48Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"4f69f96034c2ba05862cc3fa6474828689c22da9f8c39fca25d0599d9de721de","abstract_canon_sha256":"b93fbd067dccd9a52579603d86b979531eaeaa3d9ef4032c64d6e3bc0beb55d9"},"schema_version":"1.0"},"canonical_sha256":"92660342ad4ac058089f39abee541d06f03d332b772c199a622f87f77d89d02c","source":{"kind":"arxiv","id":"2109.07842","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.07842","created_at":"2026-07-05T03:40:46Z"},{"alias_kind":"arxiv_version","alias_value":"2109.07842v2","created_at":"2026-07-05T03:40:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.07842","created_at":"2026-07-05T03:40:46Z"},{"alias_kind":"pith_short_12","alias_value":"SJTAGQVNJLAF","created_at":"2026-07-05T03:40:46Z"},{"alias_kind":"pith_short_16","alias_value":"SJTAGQVNJLAFQCE7","created_at":"2026-07-05T03:40:46Z"},{"alias_kind":"pith_short_8","alias_value":"SJTAGQVN","created_at":"2026-07-05T03:40:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:SJTAGQVNJLAFQCE7HGV64VA5A3","target":"record","payload":{"canonical_record":{"source":{"id":"2109.07842","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-09-16T10:10:48Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"4f69f96034c2ba05862cc3fa6474828689c22da9f8c39fca25d0599d9de721de","abstract_canon_sha256":"b93fbd067dccd9a52579603d86b979531eaeaa3d9ef4032c64d6e3bc0beb55d9"},"schema_version":"1.0"},"canonical_sha256":"92660342ad4ac058089f39abee541d06f03d332b772c199a622f87f77d89d02c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:40:46.206506Z","signature_b64":"cPAUuiY7g26IDYbrKopem6P4697DCm7G1upphHAKgw7BzU8EFJUb60agKQFguabwQgerxjxcetAUB7NPEKGXDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92660342ad4ac058089f39abee541d06f03d332b772c199a622f87f77d89d02c","last_reissued_at":"2026-07-05T03:40:46.206009Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:40:46.206009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2109.07842","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:40:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fU4CvNGojSphwFJeF1zxwRyidSxzuRXyl5OFD8bV60X3JW8Ifnc6PyAJpA+L0X3w3MOveooITfBaWSRtm5yaAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T14:50:30.553630Z"},"content_sha256":"0aadb28200e9ff4c715601dcf60e69cecd32feb6c7bf15ed47bf48fdb7830024","schema_version":"1.0","event_id":"sha256:0aadb28200e9ff4c715601dcf60e69cecd32feb6c7bf15ed47bf48fdb7830024"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:SJTAGQVNJLAFQCE7HGV64VA5A3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Partial islands and subregion complexity in geometric secret-sharing model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Aranya Bhattacharya, Arpan Bhattacharyya, Ayan K. Patra, Pratik Nandy","submitted_at":"2021-09-16T10:10:48Z","abstract_excerpt":"We compute the holographic subregion complexity of a radiation subsystem in a geometric secret-sharing model of Hawking radiation in the \"complexity = volume\" proposal. The model is constructed using multiboundary wormhole geometries in AdS$_{3}$. The entanglement curve for secret-sharing captures a crossover between two minimal curves in the geometry apart from the usual eternal Page curve present for the complete radiation entanglement. We compute the complexity dual to the secret-sharing minimal surfaces and study their \"time\" evolution. When we have access to a small part of the radiation,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.07842","kind":"arxiv","version":2},"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/2109.07842/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":"2026-07-05T03:40:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XuFKtG/Hce4HKyuNQTkZlpTAe4DzgeuOS9i5RYxRGjFa6f1jeeGIsWpFPg/Ilu4ZPdAmqn4cCMbdqqFaBWY8DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T14:50:30.554215Z"},"content_sha256":"3467021a8cf964acea1975a6cc18f7fd553c05f926bed46eb2c2c6a69e5b31b9","schema_version":"1.0","event_id":"sha256:3467021a8cf964acea1975a6cc18f7fd553c05f926bed46eb2c2c6a69e5b31b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SJTAGQVNJLAFQCE7HGV64VA5A3/bundle.json","state_url":"https://pith.science/pith/SJTAGQVNJLAFQCE7HGV64VA5A3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SJTAGQVNJLAFQCE7HGV64VA5A3/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":"2026-08-11T14:50:30Z","links":{"resolver":"https://pith.science/pith/SJTAGQVNJLAFQCE7HGV64VA5A3","bundle":"https://pith.science/pith/SJTAGQVNJLAFQCE7HGV64VA5A3/bundle.json","state":"https://pith.science/pith/SJTAGQVNJLAFQCE7HGV64VA5A3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SJTAGQVNJLAFQCE7HGV64VA5A3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:SJTAGQVNJLAFQCE7HGV64VA5A3","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":"b93fbd067dccd9a52579603d86b979531eaeaa3d9ef4032c64d6e3bc0beb55d9","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-09-16T10:10:48Z","title_canon_sha256":"4f69f96034c2ba05862cc3fa6474828689c22da9f8c39fca25d0599d9de721de"},"schema_version":"1.0","source":{"id":"2109.07842","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.07842","created_at":"2026-07-05T03:40:46Z"},{"alias_kind":"arxiv_version","alias_value":"2109.07842v2","created_at":"2026-07-05T03:40:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.07842","created_at":"2026-07-05T03:40:46Z"},{"alias_kind":"pith_short_12","alias_value":"SJTAGQVNJLAF","created_at":"2026-07-05T03:40:46Z"},{"alias_kind":"pith_short_16","alias_value":"SJTAGQVNJLAFQCE7","created_at":"2026-07-05T03:40:46Z"},{"alias_kind":"pith_short_8","alias_value":"SJTAGQVN","created_at":"2026-07-05T03:40:46Z"}],"graph_snapshots":[{"event_id":"sha256:3467021a8cf964acea1975a6cc18f7fd553c05f926bed46eb2c2c6a69e5b31b9","target":"graph","created_at":"2026-07-05T03:40:46Z","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/2109.07842/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the holographic subregion complexity of a radiation subsystem in a geometric secret-sharing model of Hawking radiation in the \"complexity = volume\" proposal. The model is constructed using multiboundary wormhole geometries in AdS$_{3}$. The entanglement curve for secret-sharing captures a crossover between two minimal curves in the geometry apart from the usual eternal Page curve present for the complete radiation entanglement. We compute the complexity dual to the secret-sharing minimal surfaces and study their \"time\" evolution. When we have access to a small part of the radiation,","authors_text":"Aranya Bhattacharya, Arpan Bhattacharyya, Ayan K. Patra, Pratik Nandy","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-09-16T10:10:48Z","title":"Partial islands and subregion complexity in geometric secret-sharing model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.07842","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":"sha256:0aadb28200e9ff4c715601dcf60e69cecd32feb6c7bf15ed47bf48fdb7830024","target":"record","created_at":"2026-07-05T03:40:46Z","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":"b93fbd067dccd9a52579603d86b979531eaeaa3d9ef4032c64d6e3bc0beb55d9","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-09-16T10:10:48Z","title_canon_sha256":"4f69f96034c2ba05862cc3fa6474828689c22da9f8c39fca25d0599d9de721de"},"schema_version":"1.0","source":{"id":"2109.07842","kind":"arxiv","version":2}},"canonical_sha256":"92660342ad4ac058089f39abee541d06f03d332b772c199a622f87f77d89d02c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92660342ad4ac058089f39abee541d06f03d332b772c199a622f87f77d89d02c","first_computed_at":"2026-07-05T03:40:46.206009Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:40:46.206009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cPAUuiY7g26IDYbrKopem6P4697DCm7G1upphHAKgw7BzU8EFJUb60agKQFguabwQgerxjxcetAUB7NPEKGXDA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:40:46.206506Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.07842","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0aadb28200e9ff4c715601dcf60e69cecd32feb6c7bf15ed47bf48fdb7830024","sha256:3467021a8cf964acea1975a6cc18f7fd553c05f926bed46eb2c2c6a69e5b31b9"],"state_sha256":"6bacff9598f793eebf280225dedc809c67911d39e0448e1a9ff834eaee25fae0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ql3soVbAsRjoUX+yXER6Sy8CGt4bj/dpP/jDnNGd4seoUSkq7c+OgUjMmLv/qFHebEwdvSJ61BOwRqUf5hIJDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T14:50:30.557750Z","bundle_sha256":"e07a640a04909d7183a4da2b6bca5887596a0ea6eebbc397ec5bc0880f7e9eee"}}