{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:I7CVQOZAFJS4ZNHQJNTJUPUX3F","short_pith_number":"pith:I7CVQOZA","schema_version":"1.0","canonical_sha256":"47c5583b202a65ccb4f04b669a3e97d95be9e98d39bf11d2537a56dc7a26f7ab","source":{"kind":"arxiv","id":"2012.14401","version":3},"attestation_state":"computed","paper":{"title":"Relative entropy of coherent states on general CCR algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Daniela Cadamuro, Henning Bostelmann, Simone Del Vecchio","submitted_at":"2020-12-28T18:28:39Z","abstract_excerpt":"For a subalgebra of a generic CCR algebra, we consider the relative entropy between a general (not necessarily pure) quasifree state and a coherent excitation thereof. We give a unified formula for this entropy in terms of single-particle modular data. Further, we investigate changes of the relative entropy along subalgebras arising from an increasing family of symplectic subspaces; here convexity of the entropy (as usually considered for the Quantum Null Energy Condition) is replaced with lower estimates for the second derivative, composed of \"bulk terms\" and \"boundary terms\". Our main assump"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2012.14401","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-12-28T18:28:39Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"a9bbf7f8396fcc38c096d26e3e90c08f11c4f599db6580e3430c02bd1dc28c59","abstract_canon_sha256":"d3222acd81bfa157c5c1796d7cc6d1e1e390d744fdd332b02af710dbcb4eaa2c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:38:07.516430Z","signature_b64":"3vgAx838S4yoDki/Z0nrVgOxXSOauRGc9cD4dhRmnfO/YJTbwYedvOyhgxgS4ZoFLJIrlkOLdXuNVgMy4/VxBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47c5583b202a65ccb4f04b669a3e97d95be9e98d39bf11d2537a56dc7a26f7ab","last_reissued_at":"2026-07-05T03:38:07.516021Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:38:07.516021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relative entropy of coherent states on general CCR algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Daniela Cadamuro, Henning Bostelmann, Simone Del Vecchio","submitted_at":"2020-12-28T18:28:39Z","abstract_excerpt":"For a subalgebra of a generic CCR algebra, we consider the relative entropy between a general (not necessarily pure) quasifree state and a coherent excitation thereof. We give a unified formula for this entropy in terms of single-particle modular data. Further, we investigate changes of the relative entropy along subalgebras arising from an increasing family of symplectic subspaces; here convexity of the entropy (as usually considered for the Quantum Null Energy Condition) is replaced with lower estimates for the second derivative, composed of \"bulk terms\" and \"boundary terms\". Our main assump"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.14401","kind":"arxiv","version":3},"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/2012.14401/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2012.14401","created_at":"2026-07-05T03:38:07.516076+00:00"},{"alias_kind":"arxiv_version","alias_value":"2012.14401v3","created_at":"2026-07-05T03:38:07.516076+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.14401","created_at":"2026-07-05T03:38:07.516076+00:00"},{"alias_kind":"pith_short_12","alias_value":"I7CVQOZAFJS4","created_at":"2026-07-05T03:38:07.516076+00:00"},{"alias_kind":"pith_short_16","alias_value":"I7CVQOZAFJS4ZNHQ","created_at":"2026-07-05T03:38:07.516076+00:00"},{"alias_kind":"pith_short_8","alias_value":"I7CVQOZA","created_at":"2026-07-05T03:38:07.516076+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.18383","citing_title":"Bounding relative entropy for non-unitary excitations in quantum field theory","ref_index":56,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I7CVQOZAFJS4ZNHQJNTJUPUX3F","json":"https://pith.science/pith/I7CVQOZAFJS4ZNHQJNTJUPUX3F.json","graph_json":"https://pith.science/api/pith-number/I7CVQOZAFJS4ZNHQJNTJUPUX3F/graph.json","events_json":"https://pith.science/api/pith-number/I7CVQOZAFJS4ZNHQJNTJUPUX3F/events.json","paper":"https://pith.science/paper/I7CVQOZA"},"agent_actions":{"view_html":"https://pith.science/pith/I7CVQOZAFJS4ZNHQJNTJUPUX3F","download_json":"https://pith.science/pith/I7CVQOZAFJS4ZNHQJNTJUPUX3F.json","view_paper":"https://pith.science/paper/I7CVQOZA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2012.14401&json=true","fetch_graph":"https://pith.science/api/pith-number/I7CVQOZAFJS4ZNHQJNTJUPUX3F/graph.json","fetch_events":"https://pith.science/api/pith-number/I7CVQOZAFJS4ZNHQJNTJUPUX3F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I7CVQOZAFJS4ZNHQJNTJUPUX3F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I7CVQOZAFJS4ZNHQJNTJUPUX3F/action/storage_attestation","attest_author":"https://pith.science/pith/I7CVQOZAFJS4ZNHQJNTJUPUX3F/action/author_attestation","sign_citation":"https://pith.science/pith/I7CVQOZAFJS4ZNHQJNTJUPUX3F/action/citation_signature","submit_replication":"https://pith.science/pith/I7CVQOZAFJS4ZNHQJNTJUPUX3F/action/replication_record"}},"created_at":"2026-07-05T03:38:07.516076+00:00","updated_at":"2026-07-05T03:38:07.516076+00:00"}