{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:EC3FXLQL6YGA57TIOZSIRHYMZB","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":"c93701748913f42cad7b3ce12a89f92ff7ba35ec290bc44066bfbe0bcc7b031e","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-07-31T18:17:28Z","title_canon_sha256":"fecafe7c221feccbc5cc17435416399f14f38e5158b16ce80cd3540543885f9f"},"schema_version":"1.0","source":{"id":"1908.00032","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.00032","created_at":"2026-07-05T00:31:14Z"},{"alias_kind":"arxiv_version","alias_value":"1908.00032v2","created_at":"2026-07-05T00:31:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.00032","created_at":"2026-07-05T00:31:14Z"},{"alias_kind":"pith_short_12","alias_value":"EC3FXLQL6YGA","created_at":"2026-07-05T00:31:14Z"},{"alias_kind":"pith_short_16","alias_value":"EC3FXLQL6YGA57TI","created_at":"2026-07-05T00:31:14Z"},{"alias_kind":"pith_short_8","alias_value":"EC3FXLQL","created_at":"2026-07-05T00:31:14Z"}],"graph_snapshots":[{"event_id":"sha256:6015095dfa873783395dd3652a63c3a4abf1cbba1589eb8282d8e90b45ec7b3c","target":"graph","created_at":"2026-07-05T00:31:14Z","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/1908.00032/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the scalar products of on-shell and off-shell Bethe vectors in the algebra1ic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method to the XXX spin chain with broken $U(1)$ symmetry.","authors_text":"N. A. Slavnov, S. Belliard","cross_cats":["cond-mat.stat-mech","hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-07-31T18:17:28Z","title":"Why scalar products in the algebraic Bethe ansatz have determinant representation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.00032","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:ef709001f02abc228e212e86c87151d7b936f1bee3d1ec919382f7ebd33bc13f","target":"record","created_at":"2026-07-05T00:31:14Z","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":"c93701748913f42cad7b3ce12a89f92ff7ba35ec290bc44066bfbe0bcc7b031e","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-07-31T18:17:28Z","title_canon_sha256":"fecafe7c221feccbc5cc17435416399f14f38e5158b16ce80cd3540543885f9f"},"schema_version":"1.0","source":{"id":"1908.00032","kind":"arxiv","version":2}},"canonical_sha256":"20b65bae0bf60c0efe687664889f0cc856807d010073f181da23661b78faca2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20b65bae0bf60c0efe687664889f0cc856807d010073f181da23661b78faca2c","first_computed_at":"2026-07-05T00:31:14.237082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:31:14.237082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YVCjgviM3qTB9aCw5kHVhWD2/Ot+d4l9MSExmmPcn2myhEdYU+iet1Rg53zG9LHc7MKWK2qSEVEcjmpcN6UaCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:31:14.237552Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.00032","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef709001f02abc228e212e86c87151d7b936f1bee3d1ec919382f7ebd33bc13f","sha256:6015095dfa873783395dd3652a63c3a4abf1cbba1589eb8282d8e90b45ec7b3c"],"state_sha256":"25ee17031b77e7902ce3c5daedc2afd1bb39c4fe337df3ec45c5556163df47d4"}