{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:KG6Q44EH3HIIRYTQ3B6VS7DU66","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":"5facb8354e7d56ccd31542a38897650c44e58272a1d58bd4b79ff282c27b2ed5","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-20T16:35:49Z","title_canon_sha256":"afed0ee02495f20a7c9658bd4fcc2b0ef56ce1581084e47dfe2db616ee0e54c8"},"schema_version":"1.0","source":{"id":"2307.11009","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.11009","created_at":"2026-07-05T06:56:36Z"},{"alias_kind":"arxiv_version","alias_value":"2307.11009v2","created_at":"2026-07-05T06:56:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.11009","created_at":"2026-07-05T06:56:36Z"},{"alias_kind":"pith_short_12","alias_value":"KG6Q44EH3HII","created_at":"2026-07-05T06:56:36Z"},{"alias_kind":"pith_short_16","alias_value":"KG6Q44EH3HIIRYTQ","created_at":"2026-07-05T06:56:36Z"},{"alias_kind":"pith_short_8","alias_value":"KG6Q44EH","created_at":"2026-07-05T06:56:36Z"}],"graph_snapshots":[{"event_id":"sha256:a8bc227d3620ca489c8dd9a1bec1e75629771239a861c99d87f09d03fe9a1147","target":"graph","created_at":"2026-07-05T06:56:36Z","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/2307.11009/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate a separability criterion based on the computable cross-norm (CCNR), and a related quantity called the CCNR negativity. We introduce a reflected version of the CCNR negativity, and discuss its connection with other well-established entanglement-related quantities, namely the reflected entropy and the operator entanglement entropy. For free fermionic and bosonic theories, we derive exact formulas in terms of two-point correlation functions, which allow for systematic numerical investigations and, in principle, analytical treatments. For systems with a global $U(1)$ symmetry, we st","authors_text":"Cl\\'ement Berthiere, Gilles Parez","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-20T16:35:49Z","title":"Reflected entropy and computable cross-norm negativity: Free theories and symmetry resolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.11009","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":"sha256:2a70706c615209376f9752b91c94ecff76cf5da7e4508624dcc376670a9a64a1","target":"record","created_at":"2026-07-05T06:56:36Z","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":"5facb8354e7d56ccd31542a38897650c44e58272a1d58bd4b79ff282c27b2ed5","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-20T16:35:49Z","title_canon_sha256":"afed0ee02495f20a7c9658bd4fcc2b0ef56ce1581084e47dfe2db616ee0e54c8"},"schema_version":"1.0","source":{"id":"2307.11009","kind":"arxiv","version":2}},"canonical_sha256":"51bd0e7087d9d088e270d87d597c74f7b8c90e934883eb4616b10f5969c5294a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51bd0e7087d9d088e270d87d597c74f7b8c90e934883eb4616b10f5969c5294a","first_computed_at":"2026-07-05T06:56:36.561211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:56:36.561211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ARwVxYiBPFkq0f7dfMT8WFA2vm6Nfa37FvNEI/Q0D/bqONKP+ZY8cS+HBTWMDNFhaFHEYpugzqEaK3N8IWnzAA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:56:36.561664Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.11009","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a70706c615209376f9752b91c94ecff76cf5da7e4508624dcc376670a9a64a1","sha256:a8bc227d3620ca489c8dd9a1bec1e75629771239a861c99d87f09d03fe9a1147"],"state_sha256":"056f7faabaf97e53803dcae29ce893a16661ff38610cccb898a36a38f5b56214"}