{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:W2BSFRENJ5ZWCH2N4VUZ3WKYBB","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":"0c08606fdc7c5c24b1afcffe5ed666bbc22f0cac6478b82233c8bdd638d5c3f4","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-06-14T12:46:26Z","title_canon_sha256":"970eb5c0c31466578b3131fb6191e57d4fd29022e34bf1395caca6bb880d36b6"},"schema_version":"1.0","source":{"id":"1206.3092","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.3092","created_at":"2026-05-18T03:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1206.3092v2","created_at":"2026-05-18T03:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.3092","created_at":"2026-05-18T03:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"W2BSFRENJ5ZW","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"W2BSFRENJ5ZWCH2N","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"W2BSFREN","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:2c752a88a5a2e0f6994aa7d7ff2c6364c670b0e0003bf17352183b475764d87f","target":"graph","created_at":"2026-05-18T03:42:46Z","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 develop a systematic method to extract the negativity in the ground state of a 1+1 dimensional relativistic quantum field theory, using a path integral formalism to construct the partial transpose rho_A^{T_2} of the reduced density matrix of a subsystem A=A1 U A2, and introducing a replica approach to obtain its trace norm which gives the logarithmic negativity E=ln||\\rho_A^{T_2}||. This is shown to reproduce standard results for a pure state. We then apply this method to conformal field theories, deriving the result E\\sim(c/4) ln(L1 L2/(L1+L2)) for the case of two adjacent intervals of len","authors_text":"Erik Tonni, John Cardy, Pasquale Calabrese","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-06-14T12:46:26Z","title":"Entanglement negativity in quantum field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3092","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":"sha256:54e4e335a45703a5e1bd71ce0c2901f5d35b9da05458edc287e85e492d2ee078","target":"record","created_at":"2026-05-18T03:42:46Z","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":"0c08606fdc7c5c24b1afcffe5ed666bbc22f0cac6478b82233c8bdd638d5c3f4","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-06-14T12:46:26Z","title_canon_sha256":"970eb5c0c31466578b3131fb6191e57d4fd29022e34bf1395caca6bb880d36b6"},"schema_version":"1.0","source":{"id":"1206.3092","kind":"arxiv","version":2}},"canonical_sha256":"b68322c48d4f73611f4de5699dd958085db6fff97352c061986359bf088bd367","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b68322c48d4f73611f4de5699dd958085db6fff97352c061986359bf088bd367","first_computed_at":"2026-05-18T03:42:46.037384Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:46.037384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LCV93u7Frk7RG/vt9hZR+Mec44h803mzAJ5n3mhNEWQrVJkLzyu6Nibf6UNwk9dcZYAyMOTkvP/jtXXa8fmxAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:46.037831Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.3092","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54e4e335a45703a5e1bd71ce0c2901f5d35b9da05458edc287e85e492d2ee078","sha256:2c752a88a5a2e0f6994aa7d7ff2c6364c670b0e0003bf17352183b475764d87f"],"state_sha256":"c7a257abd19e85fca15e6fc0ced72a76b45a1efc24be4df01a2cadaacee0861f"}