{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:SID5FIR2EBQ2V5CFZTBELLA5J2","short_pith_number":"pith:SID5FIR2","canonical_record":{"source":{"id":"1801.00899","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-01-03T05:14:38Z","cross_cats_sorted":[],"title_canon_sha256":"a3b5c44419f75b6f8943ed937c03d02dc96bd08e7d496e9620623ed73318358d","abstract_canon_sha256":"a2603cdf1667fe86a8ead08e6f5c1909ebc43fcec5e4e118f047a94ea0e7453c"},"schema_version":"1.0"},"canonical_sha256":"9207d2a23a2061aaf445ccc245ac1d4eb69d021c17c0a4fb11d8348a1ebea69c","source":{"kind":"arxiv","id":"1801.00899","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00899","created_at":"2026-05-18T00:26:48Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00899v1","created_at":"2026-05-18T00:26:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00899","created_at":"2026-05-18T00:26:48Z"},{"alias_kind":"pith_short_12","alias_value":"SID5FIR2EBQ2","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SID5FIR2EBQ2V5CF","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SID5FIR2","created_at":"2026-05-18T12:32:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:SID5FIR2EBQ2V5CFZTBELLA5J2","target":"record","payload":{"canonical_record":{"source":{"id":"1801.00899","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-01-03T05:14:38Z","cross_cats_sorted":[],"title_canon_sha256":"a3b5c44419f75b6f8943ed937c03d02dc96bd08e7d496e9620623ed73318358d","abstract_canon_sha256":"a2603cdf1667fe86a8ead08e6f5c1909ebc43fcec5e4e118f047a94ea0e7453c"},"schema_version":"1.0"},"canonical_sha256":"9207d2a23a2061aaf445ccc245ac1d4eb69d021c17c0a4fb11d8348a1ebea69c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:48.461606Z","signature_b64":"4+2zROAASiWXrNNnpq8P2a8vNBWKDXtdFEhKt+k9+QTPWMTuO/O+rZrrHi+sZ8tO57BLIbgfiu/gXAb+7EGzDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9207d2a23a2061aaf445ccc245ac1d4eb69d021c17c0a4fb11d8348a1ebea69c","last_reissued_at":"2026-05-18T00:26:48.460851Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:48.460851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.00899","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":"2026-05-18T00:26:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+k5fpTBWkbTiDOYmeHYbiGW91mVQXgoI4DLwvl0uEIg78YwfDN6AJfZdaTVLrPskGSFwzgSzzQuUqqqidS8yBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:16:58.243198Z"},"content_sha256":"9f9a7bfaa6b44d5960a9b67ccfade22edda1afc241076fb7d169b1079b961d4d","schema_version":"1.0","event_id":"sha256:9f9a7bfaa6b44d5960a9b67ccfade22edda1afc241076fb7d169b1079b961d4d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:SID5FIR2EBQ2V5CFZTBELLA5J2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bright-dark soliton solutions to the multi-component AB system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Guo-Fu Yu, Zong-Wei Xu, Zuo-nong Zhu","submitted_at":"2018-01-03T05:14:38Z","abstract_excerpt":"In this paper we investigate the multi-component AB system that comes from the geophysical fluid dynamics. We construct bright-dark soliton solutions through Hirota's bilinear method. For the two-component AB system, asymptotic behaviours of two-soliton solution are obtained and interactions between two bright and two dark solitons are proved to be elastic. Under different parameter conditions, the oblique interactions, bound states of solitons are analyzed in details. Meanwhile, by use of the Pfaffian technique, we present $N$-bright and $N-$dark soliton solutions to the two- and multi-compon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00899","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":"2026-05-18T00:26:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8lfxg78hEP+BLI8VBu/DthPcLV1YTLi0LWqXL9TqTvcIpRA2/IKxNKOd8pylCrtT7k1l7Qniv6DgrauDuSPzDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:16:58.243903Z"},"content_sha256":"292360aaa63fa081868a8bd2717eeab5c8e20b3a3ab0de682001398f2747d8ab","schema_version":"1.0","event_id":"sha256:292360aaa63fa081868a8bd2717eeab5c8e20b3a3ab0de682001398f2747d8ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SID5FIR2EBQ2V5CFZTBELLA5J2/bundle.json","state_url":"https://pith.science/pith/SID5FIR2EBQ2V5CFZTBELLA5J2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SID5FIR2EBQ2V5CFZTBELLA5J2/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":"2026-06-07T18:16:58Z","links":{"resolver":"https://pith.science/pith/SID5FIR2EBQ2V5CFZTBELLA5J2","bundle":"https://pith.science/pith/SID5FIR2EBQ2V5CFZTBELLA5J2/bundle.json","state":"https://pith.science/pith/SID5FIR2EBQ2V5CFZTBELLA5J2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SID5FIR2EBQ2V5CFZTBELLA5J2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SID5FIR2EBQ2V5CFZTBELLA5J2","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":"a2603cdf1667fe86a8ead08e6f5c1909ebc43fcec5e4e118f047a94ea0e7453c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-01-03T05:14:38Z","title_canon_sha256":"a3b5c44419f75b6f8943ed937c03d02dc96bd08e7d496e9620623ed73318358d"},"schema_version":"1.0","source":{"id":"1801.00899","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00899","created_at":"2026-05-18T00:26:48Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00899v1","created_at":"2026-05-18T00:26:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00899","created_at":"2026-05-18T00:26:48Z"},{"alias_kind":"pith_short_12","alias_value":"SID5FIR2EBQ2","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SID5FIR2EBQ2V5CF","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SID5FIR2","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:292360aaa63fa081868a8bd2717eeab5c8e20b3a3ab0de682001398f2747d8ab","target":"graph","created_at":"2026-05-18T00:26:48Z","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 investigate the multi-component AB system that comes from the geophysical fluid dynamics. We construct bright-dark soliton solutions through Hirota's bilinear method. For the two-component AB system, asymptotic behaviours of two-soliton solution are obtained and interactions between two bright and two dark solitons are proved to be elastic. Under different parameter conditions, the oblique interactions, bound states of solitons are analyzed in details. Meanwhile, by use of the Pfaffian technique, we present $N$-bright and $N-$dark soliton solutions to the two- and multi-compon","authors_text":"Guo-Fu Yu, Zong-Wei Xu, Zuo-nong Zhu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-01-03T05:14:38Z","title":"Bright-dark soliton solutions to the multi-component AB system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00899","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":"sha256:9f9a7bfaa6b44d5960a9b67ccfade22edda1afc241076fb7d169b1079b961d4d","target":"record","created_at":"2026-05-18T00:26:48Z","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":"a2603cdf1667fe86a8ead08e6f5c1909ebc43fcec5e4e118f047a94ea0e7453c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-01-03T05:14:38Z","title_canon_sha256":"a3b5c44419f75b6f8943ed937c03d02dc96bd08e7d496e9620623ed73318358d"},"schema_version":"1.0","source":{"id":"1801.00899","kind":"arxiv","version":1}},"canonical_sha256":"9207d2a23a2061aaf445ccc245ac1d4eb69d021c17c0a4fb11d8348a1ebea69c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9207d2a23a2061aaf445ccc245ac1d4eb69d021c17c0a4fb11d8348a1ebea69c","first_computed_at":"2026-05-18T00:26:48.460851Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:48.460851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4+2zROAASiWXrNNnpq8P2a8vNBWKDXtdFEhKt+k9+QTPWMTuO/O+rZrrHi+sZ8tO57BLIbgfiu/gXAb+7EGzDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:48.461606Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.00899","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f9a7bfaa6b44d5960a9b67ccfade22edda1afc241076fb7d169b1079b961d4d","sha256:292360aaa63fa081868a8bd2717eeab5c8e20b3a3ab0de682001398f2747d8ab"],"state_sha256":"817bd85281eb64b139228b7c3689dcf86fced49abe76d579e75e0448cf4d2f52"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ok/TQxn9WONlNC/PNFKWrbLQO0EVCMoqHJp3y9Uu5mb0mPq9CMGZo/OBeO923tTJ0KdxAZMHmfHARZtQH7l9Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T18:16:58.248849Z","bundle_sha256":"0fe772bccb82bb12c09c207ab408af12dbcd4e530c20d3300b5045af30bb500d"}}