{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6BRT2AGI3F6LP4WC3O6B4OSDV2","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":"3c44308558f57ea72d8f06ee6ff96d6ac32e4fe3383a1881c6b5cf49595fd9b0","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-02T12:35:48Z","title_canon_sha256":"a9331cf38b1c5f9f6339dae64054bacada951c35d985b9e911134080ec5300ce"},"schema_version":"1.0","source":{"id":"1612.00659","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.00659","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"arxiv_version","alias_value":"1612.00659v2","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00659","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"pith_short_12","alias_value":"6BRT2AGI3F6L","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6BRT2AGI3F6LP4WC","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6BRT2AGI","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:6547b85c0021134ef68ea906c19cbbdb9e2d15c518283b2a806b6c9e6fea3394","target":"graph","created_at":"2026-05-18T00:50:56Z","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"},"paper":{"abstract_excerpt":"We study the relative entanglement entropies of one interval between excited states of a 1+1 dimensional conformal field theory (CFT). To compute the relative entropy $S(\\rho_1 \\| \\rho_0)$ between two given reduced density matrices $\\rho_1$ and $\\rho_0$ of a quantum field theory, we employ the replica trick which relies on the path integral representation of ${\\rm Tr} ( \\rho_1 \\rho_0^{n-1} )$ and define a set of R\\'enyi relative entropies $S_n(\\rho_1 \\| \\rho_0)$. We compute these quantities for integer values of the parameter $n$ and derive via the replica limit, the relative entropy between e","authors_text":"Paola Ruggiero, Pasquale Calabrese","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-02T12:35:48Z","title":"Relative Entanglement Entropies in 1+1-dimensional conformal field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00659","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":"sha256:68e18c96ee4024224f2239e57b5ba5e90fe23734f244bc6eb7cece301ce86712","target":"record","created_at":"2026-05-18T00:50:56Z","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":"3c44308558f57ea72d8f06ee6ff96d6ac32e4fe3383a1881c6b5cf49595fd9b0","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-02T12:35:48Z","title_canon_sha256":"a9331cf38b1c5f9f6339dae64054bacada951c35d985b9e911134080ec5300ce"},"schema_version":"1.0","source":{"id":"1612.00659","kind":"arxiv","version":2}},"canonical_sha256":"f0633d00c8d97cb7f2c2dbbc1e3a43aeb56648b47173dab538d5b287988efcfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0633d00c8d97cb7f2c2dbbc1e3a43aeb56648b47173dab538d5b287988efcfd","first_computed_at":"2026-05-18T00:50:56.279981Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:56.279981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"miXyBHEBKYAkZ73qIJh4H70cy1xAO+Piiaz+2dfW0yw93qcGFRunbkLMuho+OSYMep2NeZHUgnY5Asqfs2lRBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:56.280752Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.00659","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68e18c96ee4024224f2239e57b5ba5e90fe23734f244bc6eb7cece301ce86712","sha256:6547b85c0021134ef68ea906c19cbbdb9e2d15c518283b2a806b6c9e6fea3394"],"state_sha256":"516ffc67677eb9350c1d31e5b1b41668bdc36a380752a35a8af145cafc6c4bf0"}