{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:WAWFIMJBCKTR5FYKHYL4RICR4I","short_pith_number":"pith:WAWFIMJB","schema_version":"1.0","canonical_sha256":"b02c54312112a71e970a3e17c8a051e212d0d22f30255cedb8c9fb6e21fe6d01","source":{"kind":"arxiv","id":"2003.04281","version":3},"attestation_state":"computed","paper":{"title":"On Scalar Products in Higher Rank Quantum Separation of Variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"G. Niccoli, J. M. Maillet, L. Vignoli","submitted_at":"2020-03-09T17:39:57Z","abstract_excerpt":"Using the framework of the quantum separation of variables (SoV) for higher rank quantum integrable lattice models [1], we introduce some foundations to go beyond the obtained complete transfer matrix spectrum description, and open the way to the computation of matrix elements of local operators. This first amounts to obtain simple expressions for scalar products of the so-called separate states (transfer matrix eigenstates or some simple generalization of them). In the higher rank case, left and right SoV bases are expected to be pseudo-orthogonal, that is for a given SoV co-vector, there cou"},"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":"2003.04281","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-03-09T17:39:57Z","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"title_canon_sha256":"17dbd137c96c065b7eeb1e4f1a39a332d5609e01b22e4198de9df3ca6bbc15bf","abstract_canon_sha256":"e50b0e46ca22bfedf62841e1c4711d4a691402f9136b51ccba7b71b09eeb73db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:59:50.191804Z","signature_b64":"crjKTOM4qx12yUWuk68puvRSMN15sh9LSyVZJSCf3N9sLj8iu6IQquXTwgu+/6TnzoFn3TSI/WQ/fxJ+Xg8CDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b02c54312112a71e970a3e17c8a051e212d0d22f30255cedb8c9fb6e21fe6d01","last_reissued_at":"2026-07-05T01:59:50.191425Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:59:50.191425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Scalar Products in Higher Rank Quantum Separation of Variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"G. Niccoli, J. M. Maillet, L. Vignoli","submitted_at":"2020-03-09T17:39:57Z","abstract_excerpt":"Using the framework of the quantum separation of variables (SoV) for higher rank quantum integrable lattice models [1], we introduce some foundations to go beyond the obtained complete transfer matrix spectrum description, and open the way to the computation of matrix elements of local operators. This first amounts to obtain simple expressions for scalar products of the so-called separate states (transfer matrix eigenstates or some simple generalization of them). In the higher rank case, left and right SoV bases are expected to be pseudo-orthogonal, that is for a given SoV co-vector, there cou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.04281","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/2003.04281/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":"2003.04281","created_at":"2026-07-05T01:59:50.191480+00:00"},{"alias_kind":"arxiv_version","alias_value":"2003.04281v3","created_at":"2026-07-05T01:59:50.191480+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.04281","created_at":"2026-07-05T01:59:50.191480+00:00"},{"alias_kind":"pith_short_12","alias_value":"WAWFIMJBCKTR","created_at":"2026-07-05T01:59:50.191480+00:00"},{"alias_kind":"pith_short_16","alias_value":"WAWFIMJBCKTR5FYK","created_at":"2026-07-05T01:59:50.191480+00:00"},{"alias_kind":"pith_short_8","alias_value":"WAWFIMJB","created_at":"2026-07-05T01:59:50.191480+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.19296","citing_title":"Yangian symmetry, GKZ equations and integrable Feynman graphs in conformal variables","ref_index":65,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WAWFIMJBCKTR5FYKHYL4RICR4I","json":"https://pith.science/pith/WAWFIMJBCKTR5FYKHYL4RICR4I.json","graph_json":"https://pith.science/api/pith-number/WAWFIMJBCKTR5FYKHYL4RICR4I/graph.json","events_json":"https://pith.science/api/pith-number/WAWFIMJBCKTR5FYKHYL4RICR4I/events.json","paper":"https://pith.science/paper/WAWFIMJB"},"agent_actions":{"view_html":"https://pith.science/pith/WAWFIMJBCKTR5FYKHYL4RICR4I","download_json":"https://pith.science/pith/WAWFIMJBCKTR5FYKHYL4RICR4I.json","view_paper":"https://pith.science/paper/WAWFIMJB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2003.04281&json=true","fetch_graph":"https://pith.science/api/pith-number/WAWFIMJBCKTR5FYKHYL4RICR4I/graph.json","fetch_events":"https://pith.science/api/pith-number/WAWFIMJBCKTR5FYKHYL4RICR4I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WAWFIMJBCKTR5FYKHYL4RICR4I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WAWFIMJBCKTR5FYKHYL4RICR4I/action/storage_attestation","attest_author":"https://pith.science/pith/WAWFIMJBCKTR5FYKHYL4RICR4I/action/author_attestation","sign_citation":"https://pith.science/pith/WAWFIMJBCKTR5FYKHYL4RICR4I/action/citation_signature","submit_replication":"https://pith.science/pith/WAWFIMJBCKTR5FYKHYL4RICR4I/action/replication_record"}},"created_at":"2026-07-05T01:59:50.191480+00:00","updated_at":"2026-07-05T01:59:50.191480+00:00"}