{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:4GVXAZ2EOMWDCDSYJMX6IFGELA","short_pith_number":"pith:4GVXAZ2E","canonical_record":{"source":{"id":"2411.10807","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2024-11-16T14:00:15Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b463024b9e7c1c9357eeb051a9024a1aad1e570bc7b633aad008826f5e9a9dc7","abstract_canon_sha256":"0a8615348be7f5f68054f5e80300c3a342922e145b687f3062c58c4084da4b8e"},"schema_version":"1.0"},"canonical_sha256":"e1ab706744732c310e584b2fe414c45805e7e6039938be6889b9ad1a4b170673","source":{"kind":"arxiv","id":"2411.10807","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.10807","created_at":"2026-07-05T09:36:22Z"},{"alias_kind":"arxiv_version","alias_value":"2411.10807v1","created_at":"2026-07-05T09:36:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.10807","created_at":"2026-07-05T09:36:22Z"},{"alias_kind":"pith_short_12","alias_value":"4GVXAZ2EOMWD","created_at":"2026-07-05T09:36:22Z"},{"alias_kind":"pith_short_16","alias_value":"4GVXAZ2EOMWDCDSY","created_at":"2026-07-05T09:36:22Z"},{"alias_kind":"pith_short_8","alias_value":"4GVXAZ2E","created_at":"2026-07-05T09:36:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:4GVXAZ2EOMWDCDSYJMX6IFGELA","target":"record","payload":{"canonical_record":{"source":{"id":"2411.10807","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2024-11-16T14:00:15Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b463024b9e7c1c9357eeb051a9024a1aad1e570bc7b633aad008826f5e9a9dc7","abstract_canon_sha256":"0a8615348be7f5f68054f5e80300c3a342922e145b687f3062c58c4084da4b8e"},"schema_version":"1.0"},"canonical_sha256":"e1ab706744732c310e584b2fe414c45805e7e6039938be6889b9ad1a4b170673","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:36:22.436447Z","signature_b64":"Bm+jdwr7pMD5lqsd0wBA6S3g3meOXt3wi/J4c/ZZzOCu3Cr35KwUg66PtSddr7yEypvKrHyFbG+bvSYzA+eCBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1ab706744732c310e584b2fe414c45805e7e6039938be6889b9ad1a4b170673","last_reissued_at":"2026-07-05T09:36:22.435953Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:36:22.435953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.10807","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":"2026-07-05T09:36:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kFp/9jlkVIZaXbpz8mxP4+33HovHqCikQAr0FJs1YumbGBBafVVdJBdshamXM+Up5+kXRDINRVm36ivhvYSQCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:11:17.503232Z"},"content_sha256":"a715668446c7a67da3f1e628f5888b74e2d5133c9ce7cfe2e7e7ab55de200e4e","schema_version":"1.0","event_id":"sha256:a715668446c7a67da3f1e628f5888b74e2d5133c9ce7cfe2e7e7ab55de200e4e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:4GVXAZ2EOMWDCDSYJMX6IFGELA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From the self-dual Yang-Mills equation to the Fokas-Lenells equation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Da-jun Zhang, Shangshuai Li, Shuzhi Liu","submitted_at":"2024-11-16T14:00:15Z","abstract_excerpt":"A reduction from the self-dual Yang-Mills (SDYM) equation to the unreduced Fokas-Lenells (FL) system is described in this paper. It has been known that the SDYM equation can be formulated from the Cauchy matrix schemes of the matrix Kadomtsev-Petviashvili (KP) hierarchy and the Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy. We show that the reduction can be realized in these two Cauchy matrix schemes, respectively. Each scheme allows us to construct solutions for the unreduced FL system. We prove that these solutions obtained from different schemes are equivalent under certain reflection transfo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.10807","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.10807/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:36:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sTlJ1as2PSnrpq3Pa1vZYFh9T+ZDP/i/olSJwtdi1ClVMuxpQ/85Sedrp0XYUdUa0hCeq4SoKkTSSxdmB6khAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:11:17.503608Z"},"content_sha256":"eed7ce56fd8ae6a7f5d5b707d87d907f87b9b55c025abc22d148372e04f6a458","schema_version":"1.0","event_id":"sha256:eed7ce56fd8ae6a7f5d5b707d87d907f87b9b55c025abc22d148372e04f6a458"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4GVXAZ2EOMWDCDSYJMX6IFGELA/bundle.json","state_url":"https://pith.science/pith/4GVXAZ2EOMWDCDSYJMX6IFGELA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4GVXAZ2EOMWDCDSYJMX6IFGELA/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":"2026-08-03T16:11:17Z","links":{"resolver":"https://pith.science/pith/4GVXAZ2EOMWDCDSYJMX6IFGELA","bundle":"https://pith.science/pith/4GVXAZ2EOMWDCDSYJMX6IFGELA/bundle.json","state":"https://pith.science/pith/4GVXAZ2EOMWDCDSYJMX6IFGELA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4GVXAZ2EOMWDCDSYJMX6IFGELA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:4GVXAZ2EOMWDCDSYJMX6IFGELA","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":"0a8615348be7f5f68054f5e80300c3a342922e145b687f3062c58c4084da4b8e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2024-11-16T14:00:15Z","title_canon_sha256":"b463024b9e7c1c9357eeb051a9024a1aad1e570bc7b633aad008826f5e9a9dc7"},"schema_version":"1.0","source":{"id":"2411.10807","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.10807","created_at":"2026-07-05T09:36:22Z"},{"alias_kind":"arxiv_version","alias_value":"2411.10807v1","created_at":"2026-07-05T09:36:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.10807","created_at":"2026-07-05T09:36:22Z"},{"alias_kind":"pith_short_12","alias_value":"4GVXAZ2EOMWD","created_at":"2026-07-05T09:36:22Z"},{"alias_kind":"pith_short_16","alias_value":"4GVXAZ2EOMWDCDSY","created_at":"2026-07-05T09:36:22Z"},{"alias_kind":"pith_short_8","alias_value":"4GVXAZ2E","created_at":"2026-07-05T09:36:22Z"}],"graph_snapshots":[{"event_id":"sha256:eed7ce56fd8ae6a7f5d5b707d87d907f87b9b55c025abc22d148372e04f6a458","target":"graph","created_at":"2026-07-05T09:36:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.10807/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A reduction from the self-dual Yang-Mills (SDYM) equation to the unreduced Fokas-Lenells (FL) system is described in this paper. It has been known that the SDYM equation can be formulated from the Cauchy matrix schemes of the matrix Kadomtsev-Petviashvili (KP) hierarchy and the Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy. We show that the reduction can be realized in these two Cauchy matrix schemes, respectively. Each scheme allows us to construct solutions for the unreduced FL system. We prove that these solutions obtained from different schemes are equivalent under certain reflection transfo","authors_text":"Da-jun Zhang, Shangshuai Li, Shuzhi Liu","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2024-11-16T14:00:15Z","title":"From the self-dual Yang-Mills equation to the Fokas-Lenells equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.10807","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:a715668446c7a67da3f1e628f5888b74e2d5133c9ce7cfe2e7e7ab55de200e4e","target":"record","created_at":"2026-07-05T09:36:22Z","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":"0a8615348be7f5f68054f5e80300c3a342922e145b687f3062c58c4084da4b8e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2024-11-16T14:00:15Z","title_canon_sha256":"b463024b9e7c1c9357eeb051a9024a1aad1e570bc7b633aad008826f5e9a9dc7"},"schema_version":"1.0","source":{"id":"2411.10807","kind":"arxiv","version":1}},"canonical_sha256":"e1ab706744732c310e584b2fe414c45805e7e6039938be6889b9ad1a4b170673","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1ab706744732c310e584b2fe414c45805e7e6039938be6889b9ad1a4b170673","first_computed_at":"2026-07-05T09:36:22.435953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:36:22.435953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bm+jdwr7pMD5lqsd0wBA6S3g3meOXt3wi/J4c/ZZzOCu3Cr35KwUg66PtSddr7yEypvKrHyFbG+bvSYzA+eCBg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:36:22.436447Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.10807","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a715668446c7a67da3f1e628f5888b74e2d5133c9ce7cfe2e7e7ab55de200e4e","sha256:eed7ce56fd8ae6a7f5d5b707d87d907f87b9b55c025abc22d148372e04f6a458"],"state_sha256":"e2b74c6a31ad884e5966fe6f22300cc9c80331e237dc85cf99dc9ac0861f2e16"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AQeLTIT8QETh+Atc1zBmsJ4wWx5KhYiwPEMFUq3Ne2K8o5tg1bzXSedK/pOAkHGRw0qb4CUf1NZe2C0Lb5VdAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T16:11:17.506323Z","bundle_sha256":"528ab01d9cac1670c5883b467f89aef5f17adbfb86909ea216aea3a53388b35b"}}