{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ZKQH2VJIK5VKOHTMN5MABO3REP","short_pith_number":"pith:ZKQH2VJI","schema_version":"1.0","canonical_sha256":"caa07d5528576aa71e6c6f5800bb7123f7b1793df1a6e96e287fecd5db3c154c","source":{"kind":"arxiv","id":"1604.02190","version":2},"attestation_state":"computed","paper":{"title":"Generalizations of $Q$-systems and Orthogonal Polynomials from Representation Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Darlayne Addabbo, Maarten Bergvelt","submitted_at":"2016-04-07T22:54:00Z","abstract_excerpt":"We briefly describe what tau-functions in integrable systems are. We then define a collection of tau-functions given as matrix elements for the action of $\\widehat{GL_2}$ on two-component Fermionic Fock space. These tau-functions are solutions to a discrete integrable system called a $Q$-system.\n  We can prove that our tau-functions satisfy $Q$-system relations by applying the famous \"Desnanot-Jacobi identity\" or by using \"connection matrices\", the latter of which gives rise to orthogonal polynomials. In this paper, we will provide the background information required for computing these tau-fu"},"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":"1604.02190","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-04-07T22:54:00Z","cross_cats_sorted":[],"title_canon_sha256":"434ad3e59c9af4340718dbc94271131b7fdec270266e7dfb481e03df1861bb3f","abstract_canon_sha256":"167a44f684c84f4a419bb6698456853ac6db2a771e18d6ed1239c0e8c2a77d05"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:20.767541Z","signature_b64":"uassZRptVHl9atDFkr9lXjF4z11GdYyA5S6rAcELWECop1Li4s+oNuMANwC9zvZ17Q/yyWfJXbo1piozC1zkAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"caa07d5528576aa71e6c6f5800bb7123f7b1793df1a6e96e287fecd5db3c154c","last_reissued_at":"2026-05-18T00:56:20.766935Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:20.766935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalizations of $Q$-systems and Orthogonal Polynomials from Representation Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Darlayne Addabbo, Maarten Bergvelt","submitted_at":"2016-04-07T22:54:00Z","abstract_excerpt":"We briefly describe what tau-functions in integrable systems are. We then define a collection of tau-functions given as matrix elements for the action of $\\widehat{GL_2}$ on two-component Fermionic Fock space. These tau-functions are solutions to a discrete integrable system called a $Q$-system.\n  We can prove that our tau-functions satisfy $Q$-system relations by applying the famous \"Desnanot-Jacobi identity\" or by using \"connection matrices\", the latter of which gives rise to orthogonal polynomials. In this paper, we will provide the background information required for computing these tau-fu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02190","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1604.02190","created_at":"2026-05-18T00:56:20.767051+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.02190v2","created_at":"2026-05-18T00:56:20.767051+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02190","created_at":"2026-05-18T00:56:20.767051+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZKQH2VJIK5VK","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZKQH2VJIK5VKOHTM","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZKQH2VJI","created_at":"2026-05-18T12:30:53.716459+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZKQH2VJIK5VKOHTMN5MABO3REP","json":"https://pith.science/pith/ZKQH2VJIK5VKOHTMN5MABO3REP.json","graph_json":"https://pith.science/api/pith-number/ZKQH2VJIK5VKOHTMN5MABO3REP/graph.json","events_json":"https://pith.science/api/pith-number/ZKQH2VJIK5VKOHTMN5MABO3REP/events.json","paper":"https://pith.science/paper/ZKQH2VJI"},"agent_actions":{"view_html":"https://pith.science/pith/ZKQH2VJIK5VKOHTMN5MABO3REP","download_json":"https://pith.science/pith/ZKQH2VJIK5VKOHTMN5MABO3REP.json","view_paper":"https://pith.science/paper/ZKQH2VJI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.02190&json=true","fetch_graph":"https://pith.science/api/pith-number/ZKQH2VJIK5VKOHTMN5MABO3REP/graph.json","fetch_events":"https://pith.science/api/pith-number/ZKQH2VJIK5VKOHTMN5MABO3REP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZKQH2VJIK5VKOHTMN5MABO3REP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZKQH2VJIK5VKOHTMN5MABO3REP/action/storage_attestation","attest_author":"https://pith.science/pith/ZKQH2VJIK5VKOHTMN5MABO3REP/action/author_attestation","sign_citation":"https://pith.science/pith/ZKQH2VJIK5VKOHTMN5MABO3REP/action/citation_signature","submit_replication":"https://pith.science/pith/ZKQH2VJIK5VKOHTMN5MABO3REP/action/replication_record"}},"created_at":"2026-05-18T00:56:20.767051+00:00","updated_at":"2026-05-18T00:56:20.767051+00:00"}