{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:N2CJERX27ITPUBEBF2NSAUQT7Q","short_pith_number":"pith:N2CJERX2","canonical_record":{"source":{"id":"1406.1325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-05T10:29:28Z","cross_cats_sorted":[],"title_canon_sha256":"24b818cf46306ba411a6ac830814a292b8931755beae75fb94a2023801970de4","abstract_canon_sha256":"6de5fbfd5c2f3aa8642c44cc40621bf16cd1a192eec6fcc4ff7c653091e1b9bf"},"schema_version":"1.0"},"canonical_sha256":"6e849246fafa26fa04812e9b205213fc0cad1ffbe098754690ab617f4a4a5c55","source":{"kind":"arxiv","id":"1406.1325","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1325","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1325v1","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1325","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"N2CJERX27ITP","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"N2CJERX27ITPUBEB","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"N2CJERX2","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:N2CJERX27ITPUBEBF2NSAUQT7Q","target":"record","payload":{"canonical_record":{"source":{"id":"1406.1325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-05T10:29:28Z","cross_cats_sorted":[],"title_canon_sha256":"24b818cf46306ba411a6ac830814a292b8931755beae75fb94a2023801970de4","abstract_canon_sha256":"6de5fbfd5c2f3aa8642c44cc40621bf16cd1a192eec6fcc4ff7c653091e1b9bf"},"schema_version":"1.0"},"canonical_sha256":"6e849246fafa26fa04812e9b205213fc0cad1ffbe098754690ab617f4a4a5c55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:23.517281Z","signature_b64":"hhPmhn1QI3bwyj6rCmyEsJEciH772xK9CSKm6Q2cpXT1QfNDCVO66uKrflhLv0cfx4XrXPeyYwbKxf0alMasBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e849246fafa26fa04812e9b205213fc0cad1ffbe098754690ab617f4a4a5c55","last_reissued_at":"2026-05-18T02:50:23.516692Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:23.516692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.1325","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":"n+vSaH1Ye7jC2JpxiWvPw3dt1oXTuXbb4m/KTR2WKgeA0dCeqsc7+f5r7vIdffSd+GEBzyIfWm9mA4F16cXjAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T03:41:32.996550Z"},"content_sha256":"251201b562c15a9c8d2896608d26567ba040ac2147320eccebfcd526497d9e71","schema_version":"1.0","event_id":"sha256:251201b562c15a9c8d2896608d26567ba040ac2147320eccebfcd526497d9e71"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:N2CJERX27ITPUBEBF2NSAUQT7Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two hierarchies of new generalized multicomponent AKNS-type soliton equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Chun-Xia Li, Shou-Feng Shen, Shui-Meng Yu, Wen-Xiu Ma","submitted_at":"2014-06-05T10:29:28Z","abstract_excerpt":"Two multicomponent generalizations of the AKNS-type spectral problems associated with $sl(2,\\mathbb{R})$ and $so(3,\\mathbb{R})$ are introduced and the corresponding two hierarchies of generalized multicomponent AKNS-type soliton equations are presented by the standard procedure, respectively. By virtue of the trace identity, bi-Hamiltonian structures which lead to a common recursion operator are established for each of the two resulting soliton hierarchies. And thus the Liouville integrability is shown for all systems in each of the two new generalized soliton hierarchies, seperately."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1325","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":"8QbUIoo5OldxjeBRzexql2ivtay4H6zgRbViDwv2YuP0x2QcOSJ5j5vnM/niR6Nd4P2AshLbwv+dVq4qMP4RBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T03:41:32.996891Z"},"content_sha256":"ef451f41464a6775bff0162fbbfa66a33b12882b4199c44a83507373c60aa0eb","schema_version":"1.0","event_id":"sha256:ef451f41464a6775bff0162fbbfa66a33b12882b4199c44a83507373c60aa0eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N2CJERX27ITPUBEBF2NSAUQT7Q/bundle.json","state_url":"https://pith.science/pith/N2CJERX27ITPUBEBF2NSAUQT7Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N2CJERX27ITPUBEBF2NSAUQT7Q/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":"2026-06-07T03:41:32Z","links":{"resolver":"https://pith.science/pith/N2CJERX27ITPUBEBF2NSAUQT7Q","bundle":"https://pith.science/pith/N2CJERX27ITPUBEBF2NSAUQT7Q/bundle.json","state":"https://pith.science/pith/N2CJERX27ITPUBEBF2NSAUQT7Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N2CJERX27ITPUBEBF2NSAUQT7Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:N2CJERX27ITPUBEBF2NSAUQT7Q","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":"6de5fbfd5c2f3aa8642c44cc40621bf16cd1a192eec6fcc4ff7c653091e1b9bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-05T10:29:28Z","title_canon_sha256":"24b818cf46306ba411a6ac830814a292b8931755beae75fb94a2023801970de4"},"schema_version":"1.0","source":{"id":"1406.1325","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1325","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1325v1","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1325","created_at":"2026-05-18T02:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"N2CJERX27ITP","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"N2CJERX27ITPUBEB","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"N2CJERX2","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:ef451f41464a6775bff0162fbbfa66a33b12882b4199c44a83507373c60aa0eb","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":"Two multicomponent generalizations of the AKNS-type spectral problems associated with $sl(2,\\mathbb{R})$ and $so(3,\\mathbb{R})$ are introduced and the corresponding two hierarchies of generalized multicomponent AKNS-type soliton equations are presented by the standard procedure, respectively. By virtue of the trace identity, bi-Hamiltonian structures which lead to a common recursion operator are established for each of the two resulting soliton hierarchies. And thus the Liouville integrability is shown for all systems in each of the two new generalized soliton hierarchies, seperately.","authors_text":"Chun-Xia Li, Shou-Feng Shen, Shui-Meng Yu, Wen-Xiu Ma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-05T10:29:28Z","title":"Two hierarchies of new generalized multicomponent AKNS-type soliton equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1325","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":"sha256:251201b562c15a9c8d2896608d26567ba040ac2147320eccebfcd526497d9e71","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":"6de5fbfd5c2f3aa8642c44cc40621bf16cd1a192eec6fcc4ff7c653091e1b9bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-05T10:29:28Z","title_canon_sha256":"24b818cf46306ba411a6ac830814a292b8931755beae75fb94a2023801970de4"},"schema_version":"1.0","source":{"id":"1406.1325","kind":"arxiv","version":1}},"canonical_sha256":"6e849246fafa26fa04812e9b205213fc0cad1ffbe098754690ab617f4a4a5c55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e849246fafa26fa04812e9b205213fc0cad1ffbe098754690ab617f4a4a5c55","first_computed_at":"2026-05-18T02:50:23.516692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:23.516692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hhPmhn1QI3bwyj6rCmyEsJEciH772xK9CSKm6Q2cpXT1QfNDCVO66uKrflhLv0cfx4XrXPeyYwbKxf0alMasBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:23.517281Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.1325","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:251201b562c15a9c8d2896608d26567ba040ac2147320eccebfcd526497d9e71","sha256:ef451f41464a6775bff0162fbbfa66a33b12882b4199c44a83507373c60aa0eb"],"state_sha256":"4ce8d633a70b412de31f88438cf627fc0186ea38906d3c74aa67eaf7d10d9418"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vnxtasWNFw5WH23VucNZtFb3opmCFnQ40p3RxazgflzZWuUx3xRPwpiSzzW32Ouq+vPIzBVJH2wsO8NTuQCwCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T03:41:32.999111Z","bundle_sha256":"9b5e78fee7f6e557f230cff1f87199a41d13a1b04b36cc0d3d480e489455c872"}}