{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:PE4ZJPCDNTWROZTQJBVDWGMHMA","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":"f7e5933d2c91e31979d1c9ddeb0c3af778fe89cd81df1f75f5a9b867a8a34573","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-01T20:23:53Z","title_canon_sha256":"dfca8f6c57c64613b9fb259a1a608e94c10159fedc1b908acfe0e9a306d616ed"},"schema_version":"1.0","source":{"id":"2507.01174","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.01174","created_at":"2026-07-05T11:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"2507.01174v1","created_at":"2026-07-05T11:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.01174","created_at":"2026-07-05T11:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"PE4ZJPCDNTWR","created_at":"2026-07-05T11:30:26Z"},{"alias_kind":"pith_short_16","alias_value":"PE4ZJPCDNTWROZTQ","created_at":"2026-07-05T11:30:26Z"},{"alias_kind":"pith_short_8","alias_value":"PE4ZJPCD","created_at":"2026-07-05T11:30:26Z"}],"graph_snapshots":[{"event_id":"sha256:7d35525228407587fc6846421bd0a91cf17d37ba9f0768fff57d30e0f65a51f1","target":"graph","created_at":"2026-07-05T11:30:26Z","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/2507.01174/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the entanglement entropy of a massive scalar field in the background of the Einstein universe. We determine numerically the structure of the UV-divergent terms. We study analytically the IR term that originates in the long-range correlations arising from the field zero mode on the sphere. We compare with previous results for a scalar field in a dS or AdS background.","authors_text":"Dimitrios Katsinis, Georgios Pastras, Konstantinos Boutivas, Nikolaos Prountzos, Nikolaos Tetradis","cross_cats":["gr-qc","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-01T20:23:53Z","title":"Entanglement on a Sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.01174","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:b4148e4f8262d9c5b5dbdd21114ce920eab7479194a76b7131235e5f4433821c","target":"record","created_at":"2026-07-05T11:30:26Z","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":"f7e5933d2c91e31979d1c9ddeb0c3af778fe89cd81df1f75f5a9b867a8a34573","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-07-01T20:23:53Z","title_canon_sha256":"dfca8f6c57c64613b9fb259a1a608e94c10159fedc1b908acfe0e9a306d616ed"},"schema_version":"1.0","source":{"id":"2507.01174","kind":"arxiv","version":1}},"canonical_sha256":"793994bc436ced176670486a3b1987602f63330d0ca7494b03aa773c0297892a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"793994bc436ced176670486a3b1987602f63330d0ca7494b03aa773c0297892a","first_computed_at":"2026-07-05T11:30:26.451525Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:30:26.451525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oBUAtcISlZezRAv5auHAOed0WzxXqr8fp5+wHllxy/lDw7DX32Y7gTdfqzqmM7K8HCinPdIPzpiGjgGFXSA4Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:30:26.452021Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.01174","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4148e4f8262d9c5b5dbdd21114ce920eab7479194a76b7131235e5f4433821c","sha256:7d35525228407587fc6846421bd0a91cf17d37ba9f0768fff57d30e0f65a51f1"],"state_sha256":"71f615d1b03af9af2cb39716f0d78248308f2f927571ed232b23337e95556bba"}