{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:GXB3GLAKFNNTDBXYPBXLAZPG3O","short_pith_number":"pith:GXB3GLAK","schema_version":"1.0","canonical_sha256":"35c3b32c0a2b5b3186f8786eb065e6dbb26e762e40b189506d45d6c68da627bf","source":{"kind":"arxiv","id":"1108.4208","version":1},"attestation_state":"computed","paper":{"title":"On integrability of the Kontsevich non-abelian ODE system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"nlin.SI","authors_text":"Olga Efimovskaya, Thomas Wolf","submitted_at":"2011-08-21T20:36:57Z","abstract_excerpt":"We consider systems of ODEs with the right hand side being Laurent polynomials in several non-commutative unknowns. In particular, these unknowns could be matrices of arbitrary size. An important example of such a system was proposed by M. Kontsevich. We prove the integrability of the Kontsevich system by finding a Lax pair, corresponding first integrals and commuting flows. We also provide a pre-Hamiltonian operator which maps gradients of integrals for the Kontsevich system to symmetries."},"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":"1108.4208","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-08-21T20:36:57Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"7ab3e3b052a5a783ebcadbf5d41acd62c810afc927713c07ee7cfbdecdb6d744","abstract_canon_sha256":"7b1768b28951dd1643ef04dd2fdbbae3da646014594cfade35a3bc04efd88f15"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:55.956132Z","signature_b64":"oqTMg6cuiMerDIRqjdzUFCytOJ1lVmkeSiV2tNn+nweULb5q2HbnrvuIW17y+vHT+8enADvIyZEryfsUsXJ1Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35c3b32c0a2b5b3186f8786eb065e6dbb26e762e40b189506d45d6c68da627bf","last_reissued_at":"2026-05-18T04:14:55.955482Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:55.955482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On integrability of the Kontsevich non-abelian ODE system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"nlin.SI","authors_text":"Olga Efimovskaya, Thomas Wolf","submitted_at":"2011-08-21T20:36:57Z","abstract_excerpt":"We consider systems of ODEs with the right hand side being Laurent polynomials in several non-commutative unknowns. In particular, these unknowns could be matrices of arbitrary size. An important example of such a system was proposed by M. Kontsevich. We prove the integrability of the Kontsevich system by finding a Lax pair, corresponding first integrals and commuting flows. We also provide a pre-Hamiltonian operator which maps gradients of integrals for the Kontsevich system to symmetries."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4208","kind":"arxiv","version":1},"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":"1108.4208","created_at":"2026-05-18T04:14:55.955584+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.4208v1","created_at":"2026-05-18T04:14:55.955584+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4208","created_at":"2026-05-18T04:14:55.955584+00:00"},{"alias_kind":"pith_short_12","alias_value":"GXB3GLAKFNNT","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"GXB3GLAKFNNTDBXY","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"GXB3GLAK","created_at":"2026-05-18T12:26:30.835961+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.23369","citing_title":"Quasi-Poisson varieties from double quasi-Poisson algebras in types $B,C,D$","ref_index":10,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GXB3GLAKFNNTDBXYPBXLAZPG3O","json":"https://pith.science/pith/GXB3GLAKFNNTDBXYPBXLAZPG3O.json","graph_json":"https://pith.science/api/pith-number/GXB3GLAKFNNTDBXYPBXLAZPG3O/graph.json","events_json":"https://pith.science/api/pith-number/GXB3GLAKFNNTDBXYPBXLAZPG3O/events.json","paper":"https://pith.science/paper/GXB3GLAK"},"agent_actions":{"view_html":"https://pith.science/pith/GXB3GLAKFNNTDBXYPBXLAZPG3O","download_json":"https://pith.science/pith/GXB3GLAKFNNTDBXYPBXLAZPG3O.json","view_paper":"https://pith.science/paper/GXB3GLAK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.4208&json=true","fetch_graph":"https://pith.science/api/pith-number/GXB3GLAKFNNTDBXYPBXLAZPG3O/graph.json","fetch_events":"https://pith.science/api/pith-number/GXB3GLAKFNNTDBXYPBXLAZPG3O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GXB3GLAKFNNTDBXYPBXLAZPG3O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GXB3GLAKFNNTDBXYPBXLAZPG3O/action/storage_attestation","attest_author":"https://pith.science/pith/GXB3GLAKFNNTDBXYPBXLAZPG3O/action/author_attestation","sign_citation":"https://pith.science/pith/GXB3GLAKFNNTDBXYPBXLAZPG3O/action/citation_signature","submit_replication":"https://pith.science/pith/GXB3GLAKFNNTDBXYPBXLAZPG3O/action/replication_record"}},"created_at":"2026-05-18T04:14:55.955584+00:00","updated_at":"2026-05-18T04:14:55.955584+00:00"}