{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HQD5HEO557UTLA7QVPFUIOBDBW","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":"f6332f80f29150cc3db2e19686435ba0eaff63b7b77a1fff84d79ddede49995b","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-11-14T18:58:41Z","title_canon_sha256":"f4a30a76ae1740f390de05aa1c255770dd665df9d35fc6fc23e9f0c26444f3be"},"schema_version":"1.0","source":{"id":"2411.09696","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.09696","created_at":"2026-07-05T10:32:33Z"},{"alias_kind":"arxiv_version","alias_value":"2411.09696v3","created_at":"2026-07-05T10:32:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.09696","created_at":"2026-07-05T10:32:33Z"},{"alias_kind":"pith_short_12","alias_value":"HQD5HEO557UT","created_at":"2026-07-05T10:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"HQD5HEO557UTLA7Q","created_at":"2026-07-05T10:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"HQD5HEO5","created_at":"2026-07-05T10:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:5c4db2084b3681e5731c2d332a2e34f2017e5eb54558c875feb8aa08904a90a5","target":"graph","created_at":"2026-07-05T10:32:33Z","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/2411.09696/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the generalization of the Araki-Uhlmann formula for relative entropy to Petz-R\\'enyi relative entropy. We compute this entropy for a free scalar field in the Minkowski wedge between the vacuum and a coherent state, as well as for the free chiral current in a thermal state. In contrast to the relative entropy which in these cases only depends on the sympletic form and thus reduces to the classical entropy of a wave packet, the Petz-R\\'enyi relative entropy also depends on the symmetric part of the two-point function and is thus genuinely quantum. We also consider the relation with s","authors_text":"Leonardo Sangaletti, Markus B. Fr\\\"ob","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-11-14T18:58:41Z","title":"Petz-R\\'enyi relative entropy in QFT from modular theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.09696","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:bbdb2608036b4384fa8f57c08d21dd55e311709bd0e98db2090ce673319a1566","target":"record","created_at":"2026-07-05T10:32:33Z","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":"f6332f80f29150cc3db2e19686435ba0eaff63b7b77a1fff84d79ddede49995b","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-11-14T18:58:41Z","title_canon_sha256":"f4a30a76ae1740f390de05aa1c255770dd665df9d35fc6fc23e9f0c26444f3be"},"schema_version":"1.0","source":{"id":"2411.09696","kind":"arxiv","version":3}},"canonical_sha256":"3c07d391ddefe93583f0abcb4438230d8e68d4e58b05592f733925334ea81425","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c07d391ddefe93583f0abcb4438230d8e68d4e58b05592f733925334ea81425","first_computed_at":"2026-07-05T10:32:33.715662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:32:33.715662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oXTztl7+frKzNuK/XuRQp5jrp8gadVEYLkJsmuZJ39fcqwsFzVpeolh6PDJjHbQ8TfITKmwTeYrhPbT1NdMXAg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:32:33.716518Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.09696","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbdb2608036b4384fa8f57c08d21dd55e311709bd0e98db2090ce673319a1566","sha256:5c4db2084b3681e5731c2d332a2e34f2017e5eb54558c875feb8aa08904a90a5"],"state_sha256":"47b78b36561db806d05e59ccbd3beb79fd14a266719a38462ef0772d6495d6f1"}