{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:NM73RKNFH7QZZENGTJ4EKUMSQ4","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":"57a5fdf3dca9bff152fa28b00c7ce6596e5db4c18ffbb41ac843e2882bc9f436","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-11T10:47:59Z","title_canon_sha256":"bd304c29217bc9e72c4fb49ef060456b751bbaae1b1c1510fe28a870834e52b0"},"schema_version":"1.0","source":{"id":"2307.05164","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.05164","created_at":"2026-07-05T11:57:52Z"},{"alias_kind":"arxiv_version","alias_value":"2307.05164v2","created_at":"2026-07-05T11:57:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.05164","created_at":"2026-07-05T11:57:52Z"},{"alias_kind":"pith_short_12","alias_value":"NM73RKNFH7QZ","created_at":"2026-07-05T11:57:52Z"},{"alias_kind":"pith_short_16","alias_value":"NM73RKNFH7QZZENG","created_at":"2026-07-05T11:57:52Z"},{"alias_kind":"pith_short_8","alias_value":"NM73RKNF","created_at":"2026-07-05T11:57:52Z"}],"graph_snapshots":[{"event_id":"sha256:420d1b957972cfa13ddbf21bd2d2819607a99645bc55a02fd1ff0fe63dbe1988","target":"graph","created_at":"2026-07-05T11:57:52Z","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/2307.05164/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The entanglement entropy of an arbitrary spacetime region $A$ in a three-dimensional conformal field theory (CFT) contains a constant universal coefficient, $F(A)$. For general theories, the value of $F(A)$ is minimized when $A$ is a round disk, $F_0$, and in that case it coincides with the Euclidean free energy on the sphere. We conjecture that, for general CFTs, the quantity $F(A)/F_0$ is bounded above by the free scalar field result and below by the Maxwell field one. We provide strong evidence in favor of this claim and argue that an analogous conjecture in the four-dimensional case is equ","authors_text":"Horacio Casini, Javier Moreno, Oscar Lasso Andino, Pablo Bueno","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-11T10:47:59Z","title":"Conformal bounds in three dimensions from entanglement entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.05164","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":"sha256:1608c3ae43b3aa62e096cefdbd2c720e0b23e51efb1626e605f393e8b5bc71ba","target":"record","created_at":"2026-07-05T11:57:52Z","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":"57a5fdf3dca9bff152fa28b00c7ce6596e5db4c18ffbb41ac843e2882bc9f436","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-11T10:47:59Z","title_canon_sha256":"bd304c29217bc9e72c4fb49ef060456b751bbaae1b1c1510fe28a870834e52b0"},"schema_version":"1.0","source":{"id":"2307.05164","kind":"arxiv","version":2}},"canonical_sha256":"6b3fb8a9a53fe19c91a69a78455192870df8437dee203febb80ba8b355f6dd48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b3fb8a9a53fe19c91a69a78455192870df8437dee203febb80ba8b355f6dd48","first_computed_at":"2026-07-05T11:57:52.011126Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:57:52.011126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XbGIip+2KVpU0FjU6GAHGY5Lr0IfO7ngSdFXUadrVs/7V5iDua2EekYh2weLzFkAko3rQZqMhKqsHAKP9O/zDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:57:52.011653Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.05164","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1608c3ae43b3aa62e096cefdbd2c720e0b23e51efb1626e605f393e8b5bc71ba","sha256:420d1b957972cfa13ddbf21bd2d2819607a99645bc55a02fd1ff0fe63dbe1988"],"state_sha256":"a1685017517a2b4867353bf6408459910c4265d8c78a5bdf4383e1c2771dbda9"}