{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:3MSJLCCHRZRL7SIVIECQILNFVH","short_pith_number":"pith:3MSJLCCH","schema_version":"1.0","canonical_sha256":"db249588478e62bfc9154105042da5a9c72ccc5fb5d9998e290dfb6226cf1cfe","source":{"kind":"arxiv","id":"1706.06881","version":1},"attestation_state":"computed","paper":{"title":"Bright-dark mixed $N$-soliton solutions of the multi-component Mel'nikov system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Yong Chen, Zhong Han","submitted_at":"2017-06-17T09:18:59Z","abstract_excerpt":"By virtue of the KP hierarchy reduction technique, we construct the general bright-dark mixed $N$-soliton solution to the multi-component Mel'nikov system comprised of multiple (say $M$) short-wave components and one long-wave component with all possible combinations of nonlinearities including all-positive, all-negative and mixed types. Firstly, the two-bright-one-dark (2-b-1-d) and one-bright-two-dark (1-b-2-d) mixed $N$-soliton solutions in short-wave components of the three-component Mel'nikov system are derived in detail. Then we extend our analysis to the $M$-component Mel'nikov system t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1706.06881","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-06-17T09:18:59Z","cross_cats_sorted":[],"title_canon_sha256":"d97cce92acdb399c09434a12e701909668adccb90e45ebf0a5c7c0a9ea9b85b0","abstract_canon_sha256":"118f3325d6b8280ad70c69eb6da978ab1413bb39f98ca5272d4ebccf0c9773e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:31.163228Z","signature_b64":"yKlJ0hseaEF/CxXD1at6Rn9O3mRK16SezI89TZcP0SM83WfVQdq5XoqpmD5ccnvlFZ30bRlyRvB16NjzxWJrAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db249588478e62bfc9154105042da5a9c72ccc5fb5d9998e290dfb6226cf1cfe","last_reissued_at":"2026-05-18T00:35:31.162727Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:31.162727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bright-dark mixed $N$-soliton solutions of the multi-component Mel'nikov system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Yong Chen, Zhong Han","submitted_at":"2017-06-17T09:18:59Z","abstract_excerpt":"By virtue of the KP hierarchy reduction technique, we construct the general bright-dark mixed $N$-soliton solution to the multi-component Mel'nikov system comprised of multiple (say $M$) short-wave components and one long-wave component with all possible combinations of nonlinearities including all-positive, all-negative and mixed types. Firstly, the two-bright-one-dark (2-b-1-d) and one-bright-two-dark (1-b-2-d) mixed $N$-soliton solutions in short-wave components of the three-component Mel'nikov system are derived in detail. Then we extend our analysis to the $M$-component Mel'nikov system t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06881","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1706.06881","created_at":"2026-05-18T00:35:31.162815+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.06881v1","created_at":"2026-05-18T00:35:31.162815+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06881","created_at":"2026-05-18T00:35:31.162815+00:00"},{"alias_kind":"pith_short_12","alias_value":"3MSJLCCHRZRL","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"3MSJLCCHRZRL7SIV","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"3MSJLCCH","created_at":"2026-05-18T12:30:58.224056+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3MSJLCCHRZRL7SIVIECQILNFVH","json":"https://pith.science/pith/3MSJLCCHRZRL7SIVIECQILNFVH.json","graph_json":"https://pith.science/api/pith-number/3MSJLCCHRZRL7SIVIECQILNFVH/graph.json","events_json":"https://pith.science/api/pith-number/3MSJLCCHRZRL7SIVIECQILNFVH/events.json","paper":"https://pith.science/paper/3MSJLCCH"},"agent_actions":{"view_html":"https://pith.science/pith/3MSJLCCHRZRL7SIVIECQILNFVH","download_json":"https://pith.science/pith/3MSJLCCHRZRL7SIVIECQILNFVH.json","view_paper":"https://pith.science/paper/3MSJLCCH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.06881&json=true","fetch_graph":"https://pith.science/api/pith-number/3MSJLCCHRZRL7SIVIECQILNFVH/graph.json","fetch_events":"https://pith.science/api/pith-number/3MSJLCCHRZRL7SIVIECQILNFVH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3MSJLCCHRZRL7SIVIECQILNFVH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3MSJLCCHRZRL7SIVIECQILNFVH/action/storage_attestation","attest_author":"https://pith.science/pith/3MSJLCCHRZRL7SIVIECQILNFVH/action/author_attestation","sign_citation":"https://pith.science/pith/3MSJLCCHRZRL7SIVIECQILNFVH/action/citation_signature","submit_replication":"https://pith.science/pith/3MSJLCCHRZRL7SIVIECQILNFVH/action/replication_record"}},"created_at":"2026-05-18T00:35:31.162815+00:00","updated_at":"2026-05-18T00:35:31.162815+00:00"}