{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:MRWRVDDSQ7OYR2DDHZFNJISXJJ","short_pith_number":"pith:MRWRVDDS","canonical_record":{"source":{"id":"1406.1330","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-05T10:42:26Z","cross_cats_sorted":[],"title_canon_sha256":"fa5f25d72ac512dffad60a4ce1accbb682e8e921195c187eee94578c62f64537","abstract_canon_sha256":"6bfd0d7bddad9041506f35736571c750f7807bae8dcbac3e7d9b25b4f5778d5a"},"schema_version":"1.0"},"canonical_sha256":"646d1a8c7287dd88e8633e4ad4a2574a54280d0028226425a5d0dd0954bd42d4","source":{"kind":"arxiv","id":"1406.1330","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1330","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1330v1","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1330","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"MRWRVDDSQ7OY","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MRWRVDDSQ7OYR2DD","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MRWRVDDS","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:MRWRVDDSQ7OYR2DDHZFNJISXJJ","target":"record","payload":{"canonical_record":{"source":{"id":"1406.1330","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-05T10:42:26Z","cross_cats_sorted":[],"title_canon_sha256":"fa5f25d72ac512dffad60a4ce1accbb682e8e921195c187eee94578c62f64537","abstract_canon_sha256":"6bfd0d7bddad9041506f35736571c750f7807bae8dcbac3e7d9b25b4f5778d5a"},"schema_version":"1.0"},"canonical_sha256":"646d1a8c7287dd88e8633e4ad4a2574a54280d0028226425a5d0dd0954bd42d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:23.490424Z","signature_b64":"QAQ6XIYcX8NkLFq6JVvmoqtBCal6q0oFlsgfObr0/peJbLGlJBAnRYnXttsMy/dI+n4DxXA4FOwQWdBoZr9HBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"646d1a8c7287dd88e8633e4ad4a2574a54280d0028226425a5d0dd0954bd42d4","last_reissued_at":"2026-05-18T02:50:23.489878Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:23.489878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.1330","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":"2026-05-18T02:50:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8oM+qyhC3Y5uI7O1nBHwp8+9ZjsoKSKSj4j0P/FeevisJhs9tg5fN+941TIb71M/g7XenLLF7hM6LcvD0JQ3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T07:01:07.867717Z"},"content_sha256":"61cefad6d4341e3fd200c0f149c3aaae8542e8162ebaa40ecf4438fef651cde0","schema_version":"1.0","event_id":"sha256:61cefad6d4341e3fd200c0f149c3aaae8542e8162ebaa40ecf4438fef651cde0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:MRWRVDDSQ7OYR2DDHZFNJISXJJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasideterminant solutions to a noncommutative $q$-difference two-dimensional Toda lattice equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Chun-Xia Li, Jonathan Nimmo, Shou-Feng Shen","submitted_at":"2014-06-05T10:42:26Z","abstract_excerpt":"In [1], a generalized type of Darboux transformations defined in terms of a twisted derivation was constructed in a unified form. Such twisted derivations include regular derivations, difference operators, superderivatives and $q$-difference operators as special cases. The formulae for the iteration of Darboux transformations are expressed in terms of quasideterminants. This approach not only enables one to recover the known Darboux transformations and quasideterminant solutions to the noncommutative KP equation, the non-Abelian two-dimensional Toda lattice equation, the non-Abelian Hirota-Miw"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1330","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":"2026-05-18T02:50:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aKqgXs5Q1SrkoTn5/cu0o0o7d2OyYSrmHLkJjDVC4uOSg8ppTawXP+5DBNDOmceRmX+yIQkRv9qW+3sb8c33Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T07:01:07.868395Z"},"content_sha256":"a6350a4023d3ae18c46fe41ad8421031db47dfa1e09e84dfb3a4036c99b14a98","schema_version":"1.0","event_id":"sha256:a6350a4023d3ae18c46fe41ad8421031db47dfa1e09e84dfb3a4036c99b14a98"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MRWRVDDSQ7OYR2DDHZFNJISXJJ/bundle.json","state_url":"https://pith.science/pith/MRWRVDDSQ7OYR2DDHZFNJISXJJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MRWRVDDSQ7OYR2DDHZFNJISXJJ/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":"2026-06-07T07:01:07Z","links":{"resolver":"https://pith.science/pith/MRWRVDDSQ7OYR2DDHZFNJISXJJ","bundle":"https://pith.science/pith/MRWRVDDSQ7OYR2DDHZFNJISXJJ/bundle.json","state":"https://pith.science/pith/MRWRVDDSQ7OYR2DDHZFNJISXJJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MRWRVDDSQ7OYR2DDHZFNJISXJJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MRWRVDDSQ7OYR2DDHZFNJISXJJ","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":"6bfd0d7bddad9041506f35736571c750f7807bae8dcbac3e7d9b25b4f5778d5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-05T10:42:26Z","title_canon_sha256":"fa5f25d72ac512dffad60a4ce1accbb682e8e921195c187eee94578c62f64537"},"schema_version":"1.0","source":{"id":"1406.1330","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1330","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1330v1","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1330","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"MRWRVDDSQ7OY","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MRWRVDDSQ7OYR2DD","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MRWRVDDS","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:a6350a4023d3ae18c46fe41ad8421031db47dfa1e09e84dfb3a4036c99b14a98","target":"graph","created_at":"2026-05-18T02:50:23Z","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":"In [1], a generalized type of Darboux transformations defined in terms of a twisted derivation was constructed in a unified form. Such twisted derivations include regular derivations, difference operators, superderivatives and $q$-difference operators as special cases. The formulae for the iteration of Darboux transformations are expressed in terms of quasideterminants. This approach not only enables one to recover the known Darboux transformations and quasideterminant solutions to the noncommutative KP equation, the non-Abelian two-dimensional Toda lattice equation, the non-Abelian Hirota-Miw","authors_text":"Chun-Xia Li, Jonathan Nimmo, Shou-Feng Shen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-05T10:42:26Z","title":"Quasideterminant solutions to a noncommutative $q$-difference two-dimensional Toda lattice equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1330","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":"sha256:61cefad6d4341e3fd200c0f149c3aaae8542e8162ebaa40ecf4438fef651cde0","target":"record","created_at":"2026-05-18T02:50:23Z","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":"6bfd0d7bddad9041506f35736571c750f7807bae8dcbac3e7d9b25b4f5778d5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-05T10:42:26Z","title_canon_sha256":"fa5f25d72ac512dffad60a4ce1accbb682e8e921195c187eee94578c62f64537"},"schema_version":"1.0","source":{"id":"1406.1330","kind":"arxiv","version":1}},"canonical_sha256":"646d1a8c7287dd88e8633e4ad4a2574a54280d0028226425a5d0dd0954bd42d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"646d1a8c7287dd88e8633e4ad4a2574a54280d0028226425a5d0dd0954bd42d4","first_computed_at":"2026-05-18T02:50:23.489878Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:23.489878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QAQ6XIYcX8NkLFq6JVvmoqtBCal6q0oFlsgfObr0/peJbLGlJBAnRYnXttsMy/dI+n4DxXA4FOwQWdBoZr9HBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:23.490424Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.1330","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61cefad6d4341e3fd200c0f149c3aaae8542e8162ebaa40ecf4438fef651cde0","sha256:a6350a4023d3ae18c46fe41ad8421031db47dfa1e09e84dfb3a4036c99b14a98"],"state_sha256":"13016918b3695ce53113c605d0dd12ae7d828ebb1959780f38260f2402a28c1e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+RZxkdtdSkLqcPTpVkh8xOTut90XvI58uNwEqNsjOnz6UW5B0lzkJjPCLGKQPupHP3T59rOm+ZXIvVXi1KRUDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T07:01:07.872333Z","bundle_sha256":"a5083146048a7c0012e482c97a54cf79e75a034adbbb8d634d21365fbd2b6450"}}