{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KAR2NNVN7IMY735EFU5ADW5F7X","short_pith_number":"pith:KAR2NNVN","canonical_record":{"source":{"id":"1410.5493","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-10-20T22:51:01Z","cross_cats_sorted":["math.MP","math.QA","nlin.SI"],"title_canon_sha256":"e3c6215b7495da91aac2c674936bd8e89715fcb19d4be2ec5e067cbcb2063672","abstract_canon_sha256":"84ae30f6c816bb34050bdf73e36403e86477e7215bbb0d60935f96ff61c33a8a"},"schema_version":"1.0"},"canonical_sha256":"5023a6b6adfa198fefa42d3a01dba5fde7dc1dbb2f5f595d4d37c30be6339976","source":{"kind":"arxiv","id":"1410.5493","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.5493","created_at":"2026-05-18T01:34:25Z"},{"alias_kind":"arxiv_version","alias_value":"1410.5493v1","created_at":"2026-05-18T01:34:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.5493","created_at":"2026-05-18T01:34:25Z"},{"alias_kind":"pith_short_12","alias_value":"KAR2NNVN7IMY","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KAR2NNVN7IMY735E","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KAR2NNVN","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KAR2NNVN7IMY735EFU5ADW5F7X","target":"record","payload":{"canonical_record":{"source":{"id":"1410.5493","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-10-20T22:51:01Z","cross_cats_sorted":["math.MP","math.QA","nlin.SI"],"title_canon_sha256":"e3c6215b7495da91aac2c674936bd8e89715fcb19d4be2ec5e067cbcb2063672","abstract_canon_sha256":"84ae30f6c816bb34050bdf73e36403e86477e7215bbb0d60935f96ff61c33a8a"},"schema_version":"1.0"},"canonical_sha256":"5023a6b6adfa198fefa42d3a01dba5fde7dc1dbb2f5f595d4d37c30be6339976","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:25.457991Z","signature_b64":"bFjHBhrpZo08thQ5uocOX/ofeUfhrlDD60LCMvXUiKV/22MyCjyOY83EbywM3tsYqwd1lW0poRHSm4tfkiSdCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5023a6b6adfa198fefa42d3a01dba5fde7dc1dbb2f5f595d4d37c30be6339976","last_reissued_at":"2026-05-18T01:34:25.457438Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:25.457438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.5493","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:34:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H11lqLbhfqLFviYLPcV6/PLPyNIyWOcUqHIoQtp6Tymnx2+PwiEp4FLW+AR2yg5uaU2cKw+PtKUDAzVNpkuXDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:09:33.393340Z"},"content_sha256":"870f4239dc2d48608f3cfc249782f47f9f7821f42a48d4d2e57776b312dad32f","schema_version":"1.0","event_id":"sha256:870f4239dc2d48608f3cfc249782f47f9f7821f42a48d4d2e57776b312dad32f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KAR2NNVN7IMY735EFU5ADW5F7X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noncommutative Inverse Scattering Method for the Kontsevich system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.QA","nlin.SI"],"primary_cat":"math-ph","authors_text":"Semeon Arthamonov","submitted_at":"2014-10-20T22:51:01Z","abstract_excerpt":"We formulate an analog of Inverse Scattering Method for integrable systems on noncommutative associative algebras. In particular we define Hamilton flows, Casimir elements and noncommutative analog of the Lax matrix. The noncommutative Lax element generates infinite family of commuting Hamilton flows on an associative algebra. The proposed approach to integrable systems on associative algebras satisfy certain universal property, in particular it incorporates both classical and quantum integrable systems as well as provides a basis for further generalization.\n  We motivate our definition by exp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5493","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:34:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EO2V7+V942CWXXDWalxqj73wjXTMFtqSchljN0KWw8cStnC+qWQ64dyaWxjF213E7Fbp+B5eHHgwlng86j0QBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:09:33.393992Z"},"content_sha256":"1c45ae5fcc85876681bfb59300e9705e751e4abe17ae54d72d7ee63849a05d4f","schema_version":"1.0","event_id":"sha256:1c45ae5fcc85876681bfb59300e9705e751e4abe17ae54d72d7ee63849a05d4f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KAR2NNVN7IMY735EFU5ADW5F7X/bundle.json","state_url":"https://pith.science/pith/KAR2NNVN7IMY735EFU5ADW5F7X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KAR2NNVN7IMY735EFU5ADW5F7X/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-25T20:09:33Z","links":{"resolver":"https://pith.science/pith/KAR2NNVN7IMY735EFU5ADW5F7X","bundle":"https://pith.science/pith/KAR2NNVN7IMY735EFU5ADW5F7X/bundle.json","state":"https://pith.science/pith/KAR2NNVN7IMY735EFU5ADW5F7X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KAR2NNVN7IMY735EFU5ADW5F7X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KAR2NNVN7IMY735EFU5ADW5F7X","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"84ae30f6c816bb34050bdf73e36403e86477e7215bbb0d60935f96ff61c33a8a","cross_cats_sorted":["math.MP","math.QA","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-10-20T22:51:01Z","title_canon_sha256":"e3c6215b7495da91aac2c674936bd8e89715fcb19d4be2ec5e067cbcb2063672"},"schema_version":"1.0","source":{"id":"1410.5493","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.5493","created_at":"2026-05-18T01:34:25Z"},{"alias_kind":"arxiv_version","alias_value":"1410.5493v1","created_at":"2026-05-18T01:34:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.5493","created_at":"2026-05-18T01:34:25Z"},{"alias_kind":"pith_short_12","alias_value":"KAR2NNVN7IMY","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KAR2NNVN7IMY735E","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KAR2NNVN","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:1c45ae5fcc85876681bfb59300e9705e751e4abe17ae54d72d7ee63849a05d4f","target":"graph","created_at":"2026-05-18T01:34:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We formulate an analog of Inverse Scattering Method for integrable systems on noncommutative associative algebras. In particular we define Hamilton flows, Casimir elements and noncommutative analog of the Lax matrix. The noncommutative Lax element generates infinite family of commuting Hamilton flows on an associative algebra. The proposed approach to integrable systems on associative algebras satisfy certain universal property, in particular it incorporates both classical and quantum integrable systems as well as provides a basis for further generalization.\n  We motivate our definition by exp","authors_text":"Semeon Arthamonov","cross_cats":["math.MP","math.QA","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-10-20T22:51:01Z","title":"Noncommutative Inverse Scattering Method for the Kontsevich system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5493","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:870f4239dc2d48608f3cfc249782f47f9f7821f42a48d4d2e57776b312dad32f","target":"record","created_at":"2026-05-18T01:34:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"84ae30f6c816bb34050bdf73e36403e86477e7215bbb0d60935f96ff61c33a8a","cross_cats_sorted":["math.MP","math.QA","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-10-20T22:51:01Z","title_canon_sha256":"e3c6215b7495da91aac2c674936bd8e89715fcb19d4be2ec5e067cbcb2063672"},"schema_version":"1.0","source":{"id":"1410.5493","kind":"arxiv","version":1}},"canonical_sha256":"5023a6b6adfa198fefa42d3a01dba5fde7dc1dbb2f5f595d4d37c30be6339976","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5023a6b6adfa198fefa42d3a01dba5fde7dc1dbb2f5f595d4d37c30be6339976","first_computed_at":"2026-05-18T01:34:25.457438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:25.457438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bFjHBhrpZo08thQ5uocOX/ofeUfhrlDD60LCMvXUiKV/22MyCjyOY83EbywM3tsYqwd1lW0poRHSm4tfkiSdCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:25.457991Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.5493","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:870f4239dc2d48608f3cfc249782f47f9f7821f42a48d4d2e57776b312dad32f","sha256:1c45ae5fcc85876681bfb59300e9705e751e4abe17ae54d72d7ee63849a05d4f"],"state_sha256":"1056e595ede833180d67e0c7b3195de303b7c3ea8c6c6c3e073a2410315ce967"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"76TPJSOSutNXPZI0sEXgERd706ouADSexE3RRZUntUAolRLEdFkVJNsjrCQxfhfnC5PZ28L5TXATTVUG5OXICQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T20:09:33.397401Z","bundle_sha256":"83fda2aef6c9c0907a5a67636ddb5f7d0ba2d0ab11946784f353f8e47524eaa2"}}