{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:YBQFESEAKT6DMJJDRYQRNKHAY2","short_pith_number":"pith:YBQFESEA","canonical_record":{"source":{"id":"1212.3444","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-12-14T11:44:36Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a010a8d6f17be9f7acf54249af3f9fcb251bafbc4c968d09af7b443b2a69b0a3","abstract_canon_sha256":"9d403da51d7367e465f980ce1168abe33d7bca7a7f1726b0a92f3f92cc3dacdb"},"schema_version":"1.0"},"canonical_sha256":"c06052488054fc3625238e2116a8e0c68a074c75f74afde21350f64043e664d9","source":{"kind":"arxiv","id":"1212.3444","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3444","created_at":"2026-05-18T03:33:13Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3444v1","created_at":"2026-05-18T03:33:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3444","created_at":"2026-05-18T03:33:13Z"},{"alias_kind":"pith_short_12","alias_value":"YBQFESEAKT6D","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YBQFESEAKT6DMJJD","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YBQFESEA","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:YBQFESEAKT6DMJJDRYQRNKHAY2","target":"record","payload":{"canonical_record":{"source":{"id":"1212.3444","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-12-14T11:44:36Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a010a8d6f17be9f7acf54249af3f9fcb251bafbc4c968d09af7b443b2a69b0a3","abstract_canon_sha256":"9d403da51d7367e465f980ce1168abe33d7bca7a7f1726b0a92f3f92cc3dacdb"},"schema_version":"1.0"},"canonical_sha256":"c06052488054fc3625238e2116a8e0c68a074c75f74afde21350f64043e664d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:13.566272Z","signature_b64":"yOsBvUqIGzkwi1xiFUaVYLfql6Hy2UmDH5lmTzrmya9SPqPDCTIzIkr9G4KAZgepai4Bf8VLc6dBIyPj1aLgDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c06052488054fc3625238e2116a8e0c68a074c75f74afde21350f64043e664d9","last_reissued_at":"2026-05-18T03:33:13.565519Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:13.565519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.3444","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":"2026-05-18T03:33:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yfeXTxSEkytCxgjn+zT05CKOmYJfM2EHkYw/Qx936TxjkPNxGW0Cn77ugRKkG68ICkKNv8HiNDA9hjS3Rz6uDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:25:24.802506Z"},"content_sha256":"bbf5b9fe850c0239ff1eec745bcb8faa47addfca6103841f8978b3801bb0a1db","schema_version":"1.0","event_id":"sha256:bbf5b9fe850c0239ff1eec745bcb8faa47addfca6103841f8978b3801bb0a1db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:YBQFESEAKT6DMJJDRYQRNKHAY2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Matrix generalizations of integrable systems with Lax integro-differential representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Oleksandr Chvartatskyi, Yuriy Sydorenko","submitted_at":"2012-12-14T11:44:36Z","abstract_excerpt":"We present (2+1)-dimensional generalizations of the k-constrained Kadomtsev-Petviashvili (k-cKP) hierarchy and corresponding matrix Lax representations that consist of two integro-differential operators. Additional reductions imposed on the Lax pairs lead to matrix generalizations of Davey-Stewartson systems (DS-I,DS-II,DS-III) and (2+1)-dimensional extensions of the modified Korteweg-de Vries and the Nizhnik equation. We also present an integro-differential Lax pair for a matrix version of a (2+1)-dimensional extension of the Chen-Lee-Liu equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3444","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":"2026-05-18T03:33:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xw/bcxalMoF/hcdr00QjaPRGBolNV3hvIzrYffwSx6y5MUFRUo89XdyP4Zuux2Slj+oClw3nOvL8s5if72SDDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:25:24.802855Z"},"content_sha256":"34b2acb46d21dec7e1705d665e67c20e08707517084f8d3d1c9162990fb049d7","schema_version":"1.0","event_id":"sha256:34b2acb46d21dec7e1705d665e67c20e08707517084f8d3d1c9162990fb049d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YBQFESEAKT6DMJJDRYQRNKHAY2/bundle.json","state_url":"https://pith.science/pith/YBQFESEAKT6DMJJDRYQRNKHAY2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YBQFESEAKT6DMJJDRYQRNKHAY2/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":"2026-06-12T00:25:24Z","links":{"resolver":"https://pith.science/pith/YBQFESEAKT6DMJJDRYQRNKHAY2","bundle":"https://pith.science/pith/YBQFESEAKT6DMJJDRYQRNKHAY2/bundle.json","state":"https://pith.science/pith/YBQFESEAKT6DMJJDRYQRNKHAY2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YBQFESEAKT6DMJJDRYQRNKHAY2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YBQFESEAKT6DMJJDRYQRNKHAY2","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":"9d403da51d7367e465f980ce1168abe33d7bca7a7f1726b0a92f3f92cc3dacdb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-12-14T11:44:36Z","title_canon_sha256":"a010a8d6f17be9f7acf54249af3f9fcb251bafbc4c968d09af7b443b2a69b0a3"},"schema_version":"1.0","source":{"id":"1212.3444","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3444","created_at":"2026-05-18T03:33:13Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3444v1","created_at":"2026-05-18T03:33:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3444","created_at":"2026-05-18T03:33:13Z"},{"alias_kind":"pith_short_12","alias_value":"YBQFESEAKT6D","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YBQFESEAKT6DMJJD","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YBQFESEA","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:34b2acb46d21dec7e1705d665e67c20e08707517084f8d3d1c9162990fb049d7","target":"graph","created_at":"2026-05-18T03:33:13Z","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 present (2+1)-dimensional generalizations of the k-constrained Kadomtsev-Petviashvili (k-cKP) hierarchy and corresponding matrix Lax representations that consist of two integro-differential operators. Additional reductions imposed on the Lax pairs lead to matrix generalizations of Davey-Stewartson systems (DS-I,DS-II,DS-III) and (2+1)-dimensional extensions of the modified Korteweg-de Vries and the Nizhnik equation. We also present an integro-differential Lax pair for a matrix version of a (2+1)-dimensional extension of the Chen-Lee-Liu equation.","authors_text":"Oleksandr Chvartatskyi, Yuriy Sydorenko","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-12-14T11:44:36Z","title":"Matrix generalizations of integrable systems with Lax integro-differential representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3444","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:bbf5b9fe850c0239ff1eec745bcb8faa47addfca6103841f8978b3801bb0a1db","target":"record","created_at":"2026-05-18T03:33:13Z","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":"9d403da51d7367e465f980ce1168abe33d7bca7a7f1726b0a92f3f92cc3dacdb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-12-14T11:44:36Z","title_canon_sha256":"a010a8d6f17be9f7acf54249af3f9fcb251bafbc4c968d09af7b443b2a69b0a3"},"schema_version":"1.0","source":{"id":"1212.3444","kind":"arxiv","version":1}},"canonical_sha256":"c06052488054fc3625238e2116a8e0c68a074c75f74afde21350f64043e664d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c06052488054fc3625238e2116a8e0c68a074c75f74afde21350f64043e664d9","first_computed_at":"2026-05-18T03:33:13.565519Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:13.565519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yOsBvUqIGzkwi1xiFUaVYLfql6Hy2UmDH5lmTzrmya9SPqPDCTIzIkr9G4KAZgepai4Bf8VLc6dBIyPj1aLgDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:13.566272Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.3444","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbf5b9fe850c0239ff1eec745bcb8faa47addfca6103841f8978b3801bb0a1db","sha256:34b2acb46d21dec7e1705d665e67c20e08707517084f8d3d1c9162990fb049d7"],"state_sha256":"1d9f8bc9dee93fddc2b68b7c32506c404ca8519a0d80248e125378703aa06435"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8p43AUF3NqDqi6T8SBHy6O8PSsdyEJf42QFnQLzF+DWtHPzLRqe3JAX0u1CaS8uXS/vryA4M/hJpT6KNhk9iAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T00:25:24.804848Z","bundle_sha256":"df63fe341c6a9f01275976d0b6da3b2b032dcb0fc90695f00ee2596737d54ce4"}}