{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2TQV25FGMKVHI2B47AB3KMEWJH","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":"26ec282f47f0de59d5e2c68badf20a4eeff840b20f4fa164f81ea7c7f89d88f3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-12T13:50:19Z","title_canon_sha256":"411acaa4736f58505d0b820b18f02d35462e046d82c7dbca2eeec23ca5951ab7"},"schema_version":"1.0","source":{"id":"2505.07567","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.07567","created_at":"2026-07-05T11:33:23Z"},{"alias_kind":"arxiv_version","alias_value":"2505.07567v2","created_at":"2026-07-05T11:33:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.07567","created_at":"2026-07-05T11:33:23Z"},{"alias_kind":"pith_short_12","alias_value":"2TQV25FGMKVH","created_at":"2026-07-05T11:33:23Z"},{"alias_kind":"pith_short_16","alias_value":"2TQV25FGMKVHI2B4","created_at":"2026-07-05T11:33:23Z"},{"alias_kind":"pith_short_8","alias_value":"2TQV25FG","created_at":"2026-07-05T11:33:23Z"}],"graph_snapshots":[{"event_id":"sha256:a28219856d03ae206d75b2a2cb7e9634fc88898d2817e2db92c0a8f99e6d21f5","target":"graph","created_at":"2026-07-05T11:33:23Z","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/2505.07567/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work demonstrates that a superstring extended density matrix can be defined at finite temperature. This enables the calculation of the extended entanglement entropy between string coordinates. Using a real-time approach, the entanglement entropy is expressed in terms of modular functions, whose proprieties are then used to study Hagedorn behavior.","authors_text":"Daniel Luiz Nedel","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-12T13:50:19Z","title":"Superstring entanglement at finite temperature and its Hagedorn behavior"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.07567","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":"sha256:6ba2419e4672853eb1f84244b6b395b9c4563a80ec696e7afacb758a95eb9963","target":"record","created_at":"2026-07-05T11:33:23Z","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":"26ec282f47f0de59d5e2c68badf20a4eeff840b20f4fa164f81ea7c7f89d88f3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-12T13:50:19Z","title_canon_sha256":"411acaa4736f58505d0b820b18f02d35462e046d82c7dbca2eeec23ca5951ab7"},"schema_version":"1.0","source":{"id":"2505.07567","kind":"arxiv","version":2}},"canonical_sha256":"d4e15d74a662aa74683cf803b5309649f22ce9e78705b02534e5893924028fec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4e15d74a662aa74683cf803b5309649f22ce9e78705b02534e5893924028fec","first_computed_at":"2026-07-05T11:33:23.603248Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:33:23.603248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eZSvkN0A7Er7ls5vTjA8bzECg9pFLvTKpIXX/MhnGUA/RcoK7l3Rgs3GYv3j3X6IrCh4p16cqxaUT/8eCKewCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:33:23.603789Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.07567","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ba2419e4672853eb1f84244b6b395b9c4563a80ec696e7afacb758a95eb9963","sha256:a28219856d03ae206d75b2a2cb7e9634fc88898d2817e2db92c0a8f99e6d21f5"],"state_sha256":"fc3910906e6f9131f004a0b000893c34290963972e8f1c3f25e99d8b43f8ebe5"}