{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:GWTMDURWQ4NSFZDWA6DY6XAGFC","short_pith_number":"pith:GWTMDURW","schema_version":"1.0","canonical_sha256":"35a6c1d236871b22e47607878f5c062888342a3c5ea1e82d4a495a89b5cda499","source":{"kind":"arxiv","id":"1308.2824","version":2},"attestation_state":"computed","paper":{"title":"Non-commutative rational Yang-Baxter maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Adam Doliwa","submitted_at":"2013-08-13T11:15:03Z","abstract_excerpt":"Starting from multidimensional consistency of non-commutative lattice modified Gel'fand-Dikii systems we present the corresponding solutions of the functional (set-theoretic) Yang-Baxter equation, which are non-commutative versions of the maps arising from geometric crystals. Our approach works under additional condition of centrality of certain products of non-commuting variables. Then we apply such a restriction on the level of the Gel'fand-Dikii systems what allows to obtain non-autonomous (but with central non-autonomous factors) versions of the equations. In particular we recover known no"},"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":"1308.2824","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-08-13T11:15:03Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"fff74792577e4f0bdae5843643b865deb98f0841750326539ca36c0b3f30b25f","abstract_canon_sha256":"655aa99850c4b1703f403dd08331ad26a92cc58f65f88b7ce6a859ad71a13730"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:45.890344Z","signature_b64":"JL3tDZJYZ/6Mhb68JwGFuRgc/5NiYi7fLroEiAMFYTrl89j4cG9pjgMGhPgqAcMgs+M0/ScwsYvxKjog8PAWCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35a6c1d236871b22e47607878f5c062888342a3c5ea1e82d4a495a89b5cda499","last_reissued_at":"2026-05-18T02:58:45.889594Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:45.889594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-commutative rational Yang-Baxter maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Adam Doliwa","submitted_at":"2013-08-13T11:15:03Z","abstract_excerpt":"Starting from multidimensional consistency of non-commutative lattice modified Gel'fand-Dikii systems we present the corresponding solutions of the functional (set-theoretic) Yang-Baxter equation, which are non-commutative versions of the maps arising from geometric crystals. Our approach works under additional condition of centrality of certain products of non-commuting variables. Then we apply such a restriction on the level of the Gel'fand-Dikii systems what allows to obtain non-autonomous (but with central non-autonomous factors) versions of the equations. In particular we recover known no"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2824","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":"1308.2824","created_at":"2026-05-18T02:58:45.889702+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.2824v2","created_at":"2026-05-18T02:58:45.889702+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2824","created_at":"2026-05-18T02:58:45.889702+00:00"},{"alias_kind":"pith_short_12","alias_value":"GWTMDURWQ4NS","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"GWTMDURWQ4NSFZDW","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"GWTMDURW","created_at":"2026-05-18T12:27:45.050594+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/GWTMDURWQ4NSFZDWA6DY6XAGFC","json":"https://pith.science/pith/GWTMDURWQ4NSFZDWA6DY6XAGFC.json","graph_json":"https://pith.science/api/pith-number/GWTMDURWQ4NSFZDWA6DY6XAGFC/graph.json","events_json":"https://pith.science/api/pith-number/GWTMDURWQ4NSFZDWA6DY6XAGFC/events.json","paper":"https://pith.science/paper/GWTMDURW"},"agent_actions":{"view_html":"https://pith.science/pith/GWTMDURWQ4NSFZDWA6DY6XAGFC","download_json":"https://pith.science/pith/GWTMDURWQ4NSFZDWA6DY6XAGFC.json","view_paper":"https://pith.science/paper/GWTMDURW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.2824&json=true","fetch_graph":"https://pith.science/api/pith-number/GWTMDURWQ4NSFZDWA6DY6XAGFC/graph.json","fetch_events":"https://pith.science/api/pith-number/GWTMDURWQ4NSFZDWA6DY6XAGFC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GWTMDURWQ4NSFZDWA6DY6XAGFC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GWTMDURWQ4NSFZDWA6DY6XAGFC/action/storage_attestation","attest_author":"https://pith.science/pith/GWTMDURWQ4NSFZDWA6DY6XAGFC/action/author_attestation","sign_citation":"https://pith.science/pith/GWTMDURWQ4NSFZDWA6DY6XAGFC/action/citation_signature","submit_replication":"https://pith.science/pith/GWTMDURWQ4NSFZDWA6DY6XAGFC/action/replication_record"}},"created_at":"2026-05-18T02:58:45.889702+00:00","updated_at":"2026-05-18T02:58:45.889702+00:00"}