{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:3V2SDCRUD2S6XAEFLZ7HBZHNA7","short_pith_number":"pith:3V2SDCRU","schema_version":"1.0","canonical_sha256":"dd75218a341ea5eb80855e7e70e4ed07e2cee52f1bda140b5aa2e5c8733df384","source":{"kind":"arxiv","id":"1705.09219","version":3},"attestation_state":"computed","paper":{"title":"Norm of Bethe vectors in models with $\\mathfrak{gl}(m|n)$ symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. Hutsalyuk, A. Liashyk, E. Ragoucy, N. A. Slavnov, S. Z. Pakuliak","submitted_at":"2017-05-25T15:17:00Z","abstract_excerpt":"We study quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing $\\mathfrak{gl}(m|n)$-invariant $R$-matrix. We compute the norm of the Hamiltonian eigenstates. Using the notion of a generalized model we show that the square of the norm obeys a number of properties that uniquely fix it. We also show that a Jacobian of the system of Bethe equations obeys the same properties. In this way we prove a generalized Gaudin hypothesis for the norm of the Hamiltonian eigenstates."},"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":"1705.09219","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-25T15:17:00Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"e44e15f4357844f5b98ba5f57022c49d1209cb578977d9c5cdcc5e9992070eb3","abstract_canon_sha256":"8bba67dc434e88a8ad089251cd4ca9f90d56d35b9111d0a4fd58e45f9a80a4fe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:37:25.364749Z","signature_b64":"c/lIaHUOsNvluOT7F/vGqGkbKI8Smu2z2cLhSF9gF9J5SZ7VCEidrJ9GKqinAbh8PcWrxiSJ5y+0dkk3jLKyCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd75218a341ea5eb80855e7e70e4ed07e2cee52f1bda140b5aa2e5c8733df384","last_reissued_at":"2026-07-05T00:37:25.364187Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:37:25.364187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Norm of Bethe vectors in models with $\\mathfrak{gl}(m|n)$ symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. Hutsalyuk, A. Liashyk, E. Ragoucy, N. A. Slavnov, S. Z. Pakuliak","submitted_at":"2017-05-25T15:17:00Z","abstract_excerpt":"We study quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing $\\mathfrak{gl}(m|n)$-invariant $R$-matrix. We compute the norm of the Hamiltonian eigenstates. Using the notion of a generalized model we show that the square of the norm obeys a number of properties that uniquely fix it. We also show that a Jacobian of the system of Bethe equations obeys the same properties. In this way we prove a generalized Gaudin hypothesis for the norm of the Hamiltonian eigenstates."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09219","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/1705.09219/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":"1705.09219","created_at":"2026-07-05T00:37:25.364259+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.09219v3","created_at":"2026-07-05T00:37:25.364259+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09219","created_at":"2026-07-05T00:37:25.364259+00:00"},{"alias_kind":"pith_short_12","alias_value":"3V2SDCRUD2S6","created_at":"2026-07-05T00:37:25.364259+00:00"},{"alias_kind":"pith_short_16","alias_value":"3V2SDCRUD2S6XAEF","created_at":"2026-07-05T00:37:25.364259+00:00"},{"alias_kind":"pith_short_8","alias_value":"3V2SDCRU","created_at":"2026-07-05T00:37:25.364259+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.20234","citing_title":"Derivations for the MPS overlap formulas of rational spin chains","ref_index":50,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3V2SDCRUD2S6XAEFLZ7HBZHNA7","json":"https://pith.science/pith/3V2SDCRUD2S6XAEFLZ7HBZHNA7.json","graph_json":"https://pith.science/api/pith-number/3V2SDCRUD2S6XAEFLZ7HBZHNA7/graph.json","events_json":"https://pith.science/api/pith-number/3V2SDCRUD2S6XAEFLZ7HBZHNA7/events.json","paper":"https://pith.science/paper/3V2SDCRU"},"agent_actions":{"view_html":"https://pith.science/pith/3V2SDCRUD2S6XAEFLZ7HBZHNA7","download_json":"https://pith.science/pith/3V2SDCRUD2S6XAEFLZ7HBZHNA7.json","view_paper":"https://pith.science/paper/3V2SDCRU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.09219&json=true","fetch_graph":"https://pith.science/api/pith-number/3V2SDCRUD2S6XAEFLZ7HBZHNA7/graph.json","fetch_events":"https://pith.science/api/pith-number/3V2SDCRUD2S6XAEFLZ7HBZHNA7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3V2SDCRUD2S6XAEFLZ7HBZHNA7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3V2SDCRUD2S6XAEFLZ7HBZHNA7/action/storage_attestation","attest_author":"https://pith.science/pith/3V2SDCRUD2S6XAEFLZ7HBZHNA7/action/author_attestation","sign_citation":"https://pith.science/pith/3V2SDCRUD2S6XAEFLZ7HBZHNA7/action/citation_signature","submit_replication":"https://pith.science/pith/3V2SDCRUD2S6XAEFLZ7HBZHNA7/action/replication_record"}},"created_at":"2026-07-05T00:37:25.364259+00:00","updated_at":"2026-07-05T00:37:25.364259+00:00"}