{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7SHGDP5A7G2WWL3XGPNOESEYCP","short_pith_number":"pith:7SHGDP5A","canonical_record":{"source":{"id":"1303.7064","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-03-28T08:15:58Z","cross_cats_sorted":[],"title_canon_sha256":"c72188480f4907f4f86137c01075ddb2507b858e288647d66dcdcbfe2b471b61","abstract_canon_sha256":"94284ccb6bee604c5449b6bc10905cc0c2342e8d901a7f15ab853d4912f98101"},"schema_version":"1.0"},"canonical_sha256":"fc8e61bfa0f9b56b2f7733dae2489813e596acdf0318e3e42e19d655a6ab927f","source":{"kind":"arxiv","id":"1303.7064","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.7064","created_at":"2026-05-18T03:29:38Z"},{"alias_kind":"arxiv_version","alias_value":"1303.7064v1","created_at":"2026-05-18T03:29:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.7064","created_at":"2026-05-18T03:29:38Z"},{"alias_kind":"pith_short_12","alias_value":"7SHGDP5A7G2W","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7SHGDP5A7G2WWL3X","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7SHGDP5A","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7SHGDP5A7G2WWL3XGPNOESEYCP","target":"record","payload":{"canonical_record":{"source":{"id":"1303.7064","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-03-28T08:15:58Z","cross_cats_sorted":[],"title_canon_sha256":"c72188480f4907f4f86137c01075ddb2507b858e288647d66dcdcbfe2b471b61","abstract_canon_sha256":"94284ccb6bee604c5449b6bc10905cc0c2342e8d901a7f15ab853d4912f98101"},"schema_version":"1.0"},"canonical_sha256":"fc8e61bfa0f9b56b2f7733dae2489813e596acdf0318e3e42e19d655a6ab927f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:38.349754Z","signature_b64":"OCYshsjqygbvI7O4A4j8qOITe+3PMR4sBfy4/D7F0mECdKKZ3w78zRz6BsnCkT1bSmUq98eSBoweQRG5MAYmDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc8e61bfa0f9b56b2f7733dae2489813e596acdf0318e3e42e19d655a6ab927f","last_reissued_at":"2026-05-18T03:29:38.349161Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:38.349161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.7064","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":"2026-05-18T03:29:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WxRTiJD76rPADeqgaf0RgWGmsIGCzAMXJG1ZJoml0Jfjy7knnymyYPg9C2mKO3+Y34cnjbCacwH8MbFSeD+SDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:09:58.073693Z"},"content_sha256":"51d531548014752e660df5577073bd2fb77a8725f207dcffdea760e4a1726645","schema_version":"1.0","event_id":"sha256:51d531548014752e660df5577073bd2fb77a8725f207dcffdea760e4a1726645"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7SHGDP5A7G2WWL3XGPNOESEYCP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new (1+1)-dimensional matrix k-constrained KP hierarchy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Oleksandr Chvartatskyi, Yuriy Sydorenko","submitted_at":"2013-03-28T08:15:58Z","abstract_excerpt":"We introduce a new generalization of matrix (1+1)-dimensional k-constrained KP hierarchy. The new hierarchy contains matrix generalizations of stationary DS systems, (2+1)-dimensional modified Korteweg-de Vries equation and the Nizhnik equation. A binary Darboux transformation method is proposed for integration of systems from this hierarchy."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.7064","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":"2026-05-18T03:29:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kRe9oPRZ4MIztkUy1D1rfFBclI7LpPFHcbgJzSCHsDOO+4caR4QMRJtYZVwvSbWieM/iJ+CickuOkHJfWg1/Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T21:09:58.074481Z"},"content_sha256":"1f1486633aa6697cc345882c49ff1de4830fcfe97043c422cf71cf0ed76257c0","schema_version":"1.0","event_id":"sha256:1f1486633aa6697cc345882c49ff1de4830fcfe97043c422cf71cf0ed76257c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7SHGDP5A7G2WWL3XGPNOESEYCP/bundle.json","state_url":"https://pith.science/pith/7SHGDP5A7G2WWL3XGPNOESEYCP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7SHGDP5A7G2WWL3XGPNOESEYCP/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":"2026-06-11T21:09:58Z","links":{"resolver":"https://pith.science/pith/7SHGDP5A7G2WWL3XGPNOESEYCP","bundle":"https://pith.science/pith/7SHGDP5A7G2WWL3XGPNOESEYCP/bundle.json","state":"https://pith.science/pith/7SHGDP5A7G2WWL3XGPNOESEYCP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7SHGDP5A7G2WWL3XGPNOESEYCP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7SHGDP5A7G2WWL3XGPNOESEYCP","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":"94284ccb6bee604c5449b6bc10905cc0c2342e8d901a7f15ab853d4912f98101","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-03-28T08:15:58Z","title_canon_sha256":"c72188480f4907f4f86137c01075ddb2507b858e288647d66dcdcbfe2b471b61"},"schema_version":"1.0","source":{"id":"1303.7064","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.7064","created_at":"2026-05-18T03:29:38Z"},{"alias_kind":"arxiv_version","alias_value":"1303.7064v1","created_at":"2026-05-18T03:29:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.7064","created_at":"2026-05-18T03:29:38Z"},{"alias_kind":"pith_short_12","alias_value":"7SHGDP5A7G2W","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7SHGDP5A7G2WWL3X","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7SHGDP5A","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:1f1486633aa6697cc345882c49ff1de4830fcfe97043c422cf71cf0ed76257c0","target":"graph","created_at":"2026-05-18T03:29:38Z","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 introduce a new generalization of matrix (1+1)-dimensional k-constrained KP hierarchy. The new hierarchy contains matrix generalizations of stationary DS systems, (2+1)-dimensional modified Korteweg-de Vries equation and the Nizhnik equation. A binary Darboux transformation method is proposed for integration of systems from this hierarchy.","authors_text":"Oleksandr Chvartatskyi, Yuriy Sydorenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-03-28T08:15:58Z","title":"A new (1+1)-dimensional matrix k-constrained KP hierarchy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.7064","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":"sha256:51d531548014752e660df5577073bd2fb77a8725f207dcffdea760e4a1726645","target":"record","created_at":"2026-05-18T03:29:38Z","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":"94284ccb6bee604c5449b6bc10905cc0c2342e8d901a7f15ab853d4912f98101","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-03-28T08:15:58Z","title_canon_sha256":"c72188480f4907f4f86137c01075ddb2507b858e288647d66dcdcbfe2b471b61"},"schema_version":"1.0","source":{"id":"1303.7064","kind":"arxiv","version":1}},"canonical_sha256":"fc8e61bfa0f9b56b2f7733dae2489813e596acdf0318e3e42e19d655a6ab927f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc8e61bfa0f9b56b2f7733dae2489813e596acdf0318e3e42e19d655a6ab927f","first_computed_at":"2026-05-18T03:29:38.349161Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:38.349161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OCYshsjqygbvI7O4A4j8qOITe+3PMR4sBfy4/D7F0mECdKKZ3w78zRz6BsnCkT1bSmUq98eSBoweQRG5MAYmDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:38.349754Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.7064","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51d531548014752e660df5577073bd2fb77a8725f207dcffdea760e4a1726645","sha256:1f1486633aa6697cc345882c49ff1de4830fcfe97043c422cf71cf0ed76257c0"],"state_sha256":"5c1244ac86a404b8ae0a4f7729ab45a922fca78d699de21a754d60c840fb7150"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qrc+js+jeNcDotvED9rmhoBVQBnmiJ2K2Vq8TyeVMgfGrfcQcZev9Np2k6cQDGAoNMY0oOZMRCK0DvaJVkSMAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T21:09:58.078406Z","bundle_sha256":"fac08f7ef45e520ab1110c22d3143ace91ed38b0d1f6b72f910b5bd09dbf7080"}}