{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QXD7BFVGQKB7SSBYYGO4GD3CHA","short_pith_number":"pith:QXD7BFVG","canonical_record":{"source":{"id":"1611.10057","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-11-30T09:16:01Z","cross_cats_sorted":["math-ph","math.MP","nlin.PS"],"title_canon_sha256":"7a3ccbae7ac4af1a413a1c83d89228f662278fa41fd61f4fd412c2c8441a80e1","abstract_canon_sha256":"c342a1fa6c9905049de7f4aba9c1040af72dc943dddf94bfcc805d1186e33fa1"},"schema_version":"1.0"},"canonical_sha256":"85c7f096a68283f94838c19dc30f6238309d9b29484812a770950466754cfdd8","source":{"kind":"arxiv","id":"1611.10057","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.10057","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"arxiv_version","alias_value":"1611.10057v1","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.10057","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"pith_short_12","alias_value":"QXD7BFVGQKB7","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QXD7BFVGQKB7SSBY","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QXD7BFVG","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QXD7BFVGQKB7SSBYYGO4GD3CHA","target":"record","payload":{"canonical_record":{"source":{"id":"1611.10057","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-11-30T09:16:01Z","cross_cats_sorted":["math-ph","math.MP","nlin.PS"],"title_canon_sha256":"7a3ccbae7ac4af1a413a1c83d89228f662278fa41fd61f4fd412c2c8441a80e1","abstract_canon_sha256":"c342a1fa6c9905049de7f4aba9c1040af72dc943dddf94bfcc805d1186e33fa1"},"schema_version":"1.0"},"canonical_sha256":"85c7f096a68283f94838c19dc30f6238309d9b29484812a770950466754cfdd8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:11.294216Z","signature_b64":"5yYDQBfdSl+9Xw1KhrLEH5xOiYuhCqEO0bO2OQm7TUbgIryfSxua/qiak9JKnIA1kelKaoACaGKFoLo2ikstCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85c7f096a68283f94838c19dc30f6238309d9b29484812a770950466754cfdd8","last_reissued_at":"2026-05-18T00:56:11.293655Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:11.293655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.10057","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":"2026-05-18T00:56:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M+AB1s1VZj1vwMi+TfPz7qOQyo1OrRuRqRhcmffsF1j1gkSdvkhqFspI2knWpsKwsxm/QSpMUZHCjb/rcKdfAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:38:02.642829Z"},"content_sha256":"dafb9909aea5b6da19f82cb38e2b251a42b68c99777fd77622a6ddbf437ad732","schema_version":"1.0","event_id":"sha256:dafb9909aea5b6da19f82cb38e2b251a42b68c99777fd77622a6ddbf437ad732"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QXD7BFVGQKB7SSBYYGO4GD3CHA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"General soliton solutions to a coupled Fokas-Lenells equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.PS"],"primary_cat":"nlin.SI","authors_text":"Bao-feng Feng, Liming Ling, Zuonong Zhu","submitted_at":"2016-11-30T09:16:01Z","abstract_excerpt":"In this paper, we firstly establish the multi-Hamiltonian structure and infinite many conservation laws for the vector Kaup-Newell hierarchy of the positive and negative orders. The first nontrivial negative flow corresponds to a coupled Fokas-Lenells equation. By constructing a generalized Darboux transformation and using a limiting process, all kinds of one-soliton solutions are constructed including the bright-dark soliton, the dark-anti-dark soliton and the breather-like solutions. Furthermore, multi-bright and multi-dark soliton solutions are derived and their asymptotic behaviors are inv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.10057","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":"2026-05-18T00:56:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yQdrTg9Qfm0NMZtTV41Ez/sp8kXYMVsH+juP/xL7ICT05kftSnbhzEv2+vctB94iDnP3UXeoDjCK/lcPJHziBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:38:02.643485Z"},"content_sha256":"10da1f1cb81c8a8558c6d73498e4b08e1f9697cf9b7a4e9fdb656e585d907f91","schema_version":"1.0","event_id":"sha256:10da1f1cb81c8a8558c6d73498e4b08e1f9697cf9b7a4e9fdb656e585d907f91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QXD7BFVGQKB7SSBYYGO4GD3CHA/bundle.json","state_url":"https://pith.science/pith/QXD7BFVGQKB7SSBYYGO4GD3CHA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QXD7BFVGQKB7SSBYYGO4GD3CHA/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":"2026-05-31T05:38:02Z","links":{"resolver":"https://pith.science/pith/QXD7BFVGQKB7SSBYYGO4GD3CHA","bundle":"https://pith.science/pith/QXD7BFVGQKB7SSBYYGO4GD3CHA/bundle.json","state":"https://pith.science/pith/QXD7BFVGQKB7SSBYYGO4GD3CHA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QXD7BFVGQKB7SSBYYGO4GD3CHA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QXD7BFVGQKB7SSBYYGO4GD3CHA","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":"c342a1fa6c9905049de7f4aba9c1040af72dc943dddf94bfcc805d1186e33fa1","cross_cats_sorted":["math-ph","math.MP","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-11-30T09:16:01Z","title_canon_sha256":"7a3ccbae7ac4af1a413a1c83d89228f662278fa41fd61f4fd412c2c8441a80e1"},"schema_version":"1.0","source":{"id":"1611.10057","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.10057","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"arxiv_version","alias_value":"1611.10057v1","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.10057","created_at":"2026-05-18T00:56:11Z"},{"alias_kind":"pith_short_12","alias_value":"QXD7BFVGQKB7","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"QXD7BFVGQKB7SSBY","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"QXD7BFVG","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:10da1f1cb81c8a8558c6d73498e4b08e1f9697cf9b7a4e9fdb656e585d907f91","target":"graph","created_at":"2026-05-18T00:56:11Z","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 this paper, we firstly establish the multi-Hamiltonian structure and infinite many conservation laws for the vector Kaup-Newell hierarchy of the positive and negative orders. The first nontrivial negative flow corresponds to a coupled Fokas-Lenells equation. By constructing a generalized Darboux transformation and using a limiting process, all kinds of one-soliton solutions are constructed including the bright-dark soliton, the dark-anti-dark soliton and the breather-like solutions. Furthermore, multi-bright and multi-dark soliton solutions are derived and their asymptotic behaviors are inv","authors_text":"Bao-feng Feng, Liming Ling, Zuonong Zhu","cross_cats":["math-ph","math.MP","nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-11-30T09:16:01Z","title":"General soliton solutions to a coupled Fokas-Lenells equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.10057","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:dafb9909aea5b6da19f82cb38e2b251a42b68c99777fd77622a6ddbf437ad732","target":"record","created_at":"2026-05-18T00:56:11Z","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":"c342a1fa6c9905049de7f4aba9c1040af72dc943dddf94bfcc805d1186e33fa1","cross_cats_sorted":["math-ph","math.MP","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-11-30T09:16:01Z","title_canon_sha256":"7a3ccbae7ac4af1a413a1c83d89228f662278fa41fd61f4fd412c2c8441a80e1"},"schema_version":"1.0","source":{"id":"1611.10057","kind":"arxiv","version":1}},"canonical_sha256":"85c7f096a68283f94838c19dc30f6238309d9b29484812a770950466754cfdd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85c7f096a68283f94838c19dc30f6238309d9b29484812a770950466754cfdd8","first_computed_at":"2026-05-18T00:56:11.293655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:11.293655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5yYDQBfdSl+9Xw1KhrLEH5xOiYuhCqEO0bO2OQm7TUbgIryfSxua/qiak9JKnIA1kelKaoACaGKFoLo2ikstCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:11.294216Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.10057","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dafb9909aea5b6da19f82cb38e2b251a42b68c99777fd77622a6ddbf437ad732","sha256:10da1f1cb81c8a8558c6d73498e4b08e1f9697cf9b7a4e9fdb656e585d907f91"],"state_sha256":"7444826fc1e41c47b2d3f79a6666788ae4ab38691facef019160e45187ea3cb3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vl8DZBncsnAXmbzU6QM6BoLUKSO+7V3CN6StdCSYjESzmV79tnwUsFMNcLu8/RolBBbAJFA6gSMumEEeUB+sDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:38:02.645787Z","bundle_sha256":"0311397db4c9fb4336e688ad01b5951da030b04baf4297a07b9411985590c0ea"}}