{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:RNAVV44MHQYP6ZC4ZDJMJ5GZQI","short_pith_number":"pith:RNAVV44M","schema_version":"1.0","canonical_sha256":"8b415af38c3c30ff645cc8d2c4f4d982377693bff618692cf0a050a5a96fc052","source":{"kind":"arxiv","id":"2003.13674","version":3},"attestation_state":"computed","paper":{"title":"Dual canonical bases and quantum cluster algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Fan Qin","submitted_at":"2020-03-30T17:56:04Z","abstract_excerpt":"Given any quantum cluster algebra arising from a quantum unipotent subgroup of symmetrizable Kac-Moody type, we verify the quantization conjecture in full generality that the quantum cluster monomials are contained in the dual canonical basis after rescaling."},"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":"2003.13674","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-03-30T17:56:04Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"1874737babaf337d5c8edeaa3237a3e8b1fb26985d477d280dbeda4782a452ba","abstract_canon_sha256":"bc41aca7e20af1ed6547b3cb3e2aeb19cd0015de6558c1c42b54802d7070ca3c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:09:39.712603Z","signature_b64":"Qs+PAYtmVZY4Jtt8OsdapgwHJ0kcgF3hl5MFI9aC73n24+iWSgJCfvZwgPacyU9JcYk2sdI86bYSQWIk7Qc0Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b415af38c3c30ff645cc8d2c4f4d982377693bff618692cf0a050a5a96fc052","last_reissued_at":"2026-07-05T06:09:39.712112Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:09:39.712112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dual canonical bases and quantum cluster algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Fan Qin","submitted_at":"2020-03-30T17:56:04Z","abstract_excerpt":"Given any quantum cluster algebra arising from a quantum unipotent subgroup of symmetrizable Kac-Moody type, we verify the quantization conjecture in full generality that the quantum cluster monomials are contained in the dual canonical basis after rescaling."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.13674","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/2003.13674/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":"2003.13674","created_at":"2026-07-05T06:09:39.712175+00:00"},{"alias_kind":"arxiv_version","alias_value":"2003.13674v3","created_at":"2026-07-05T06:09:39.712175+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.13674","created_at":"2026-07-05T06:09:39.712175+00:00"},{"alias_kind":"pith_short_12","alias_value":"RNAVV44MHQYP","created_at":"2026-07-05T06:09:39.712175+00:00"},{"alias_kind":"pith_short_16","alias_value":"RNAVV44MHQYP6ZC4","created_at":"2026-07-05T06:09:39.712175+00:00"},{"alias_kind":"pith_short_8","alias_value":"RNAVV44M","created_at":"2026-07-05T06:09:39.712175+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2506.00882","citing_title":"On cluster structures of bosonic extensions","ref_index":15,"is_internal_anchor":false},{"citing_arxiv_id":"2605.13578","citing_title":"Quiver varieties and dual canonical bases","ref_index":72,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RNAVV44MHQYP6ZC4ZDJMJ5GZQI","json":"https://pith.science/pith/RNAVV44MHQYP6ZC4ZDJMJ5GZQI.json","graph_json":"https://pith.science/api/pith-number/RNAVV44MHQYP6ZC4ZDJMJ5GZQI/graph.json","events_json":"https://pith.science/api/pith-number/RNAVV44MHQYP6ZC4ZDJMJ5GZQI/events.json","paper":"https://pith.science/paper/RNAVV44M"},"agent_actions":{"view_html":"https://pith.science/pith/RNAVV44MHQYP6ZC4ZDJMJ5GZQI","download_json":"https://pith.science/pith/RNAVV44MHQYP6ZC4ZDJMJ5GZQI.json","view_paper":"https://pith.science/paper/RNAVV44M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2003.13674&json=true","fetch_graph":"https://pith.science/api/pith-number/RNAVV44MHQYP6ZC4ZDJMJ5GZQI/graph.json","fetch_events":"https://pith.science/api/pith-number/RNAVV44MHQYP6ZC4ZDJMJ5GZQI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RNAVV44MHQYP6ZC4ZDJMJ5GZQI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RNAVV44MHQYP6ZC4ZDJMJ5GZQI/action/storage_attestation","attest_author":"https://pith.science/pith/RNAVV44MHQYP6ZC4ZDJMJ5GZQI/action/author_attestation","sign_citation":"https://pith.science/pith/RNAVV44MHQYP6ZC4ZDJMJ5GZQI/action/citation_signature","submit_replication":"https://pith.science/pith/RNAVV44MHQYP6ZC4ZDJMJ5GZQI/action/replication_record"}},"created_at":"2026-07-05T06:09:39.712175+00:00","updated_at":"2026-07-05T06:09:39.712175+00:00"}