{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MUASJMOB6ZF6RVPUO3CFPBWADS","short_pith_number":"pith:MUASJMOB","canonical_record":{"source":{"id":"1811.07504","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-11-19T05:14:38Z","cross_cats_sorted":[],"title_canon_sha256":"25bdd7047dfb043f7c845beede1ac2c82265f52ebd7c531d5f8058b1bd1ac287","abstract_canon_sha256":"2b310f85785cebb36680c6c636163659df4cc6073f381915b12f5f040181b02a"},"schema_version":"1.0"},"canonical_sha256":"650124b1c1f64be8d5f476c45786c01c9c7c0ff7b4d7de4f10863848693db457","source":{"kind":"arxiv","id":"1811.07504","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.07504","created_at":"2026-07-05T00:31:43Z"},{"alias_kind":"arxiv_version","alias_value":"1811.07504v1","created_at":"2026-07-05T00:31:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.07504","created_at":"2026-07-05T00:31:43Z"},{"alias_kind":"pith_short_12","alias_value":"MUASJMOB6ZF6","created_at":"2026-07-05T00:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"MUASJMOB6ZF6RVPU","created_at":"2026-07-05T00:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"MUASJMOB","created_at":"2026-07-05T00:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MUASJMOB6ZF6RVPUO3CFPBWADS","target":"record","payload":{"canonical_record":{"source":{"id":"1811.07504","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-11-19T05:14:38Z","cross_cats_sorted":[],"title_canon_sha256":"25bdd7047dfb043f7c845beede1ac2c82265f52ebd7c531d5f8058b1bd1ac287","abstract_canon_sha256":"2b310f85785cebb36680c6c636163659df4cc6073f381915b12f5f040181b02a"},"schema_version":"1.0"},"canonical_sha256":"650124b1c1f64be8d5f476c45786c01c9c7c0ff7b4d7de4f10863848693db457","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:31:43.766345Z","signature_b64":"jxXHMXHuATjfWOx5cDSX5IMas/i2JQNpimjE3LDDT5XMJ+wIikCFuReB8chX51CenAuaoAl3N5KRCRXuGw4TCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"650124b1c1f64be8d5f476c45786c01c9c7c0ff7b4d7de4f10863848693db457","last_reissued_at":"2026-07-05T00:31:43.765863Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:31:43.765863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.07504","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":"2026-07-05T00:31:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zus3GO06rQTDoyrz5ooJJ7yIhzKpbmY9Hj8viBHu43n08r6Y0xvnPYGvP+8OFmD60tzzGtjAmF4k1yKsU96cAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T19:21:10.753893Z"},"content_sha256":"5d4f470caba756a2bb550bf69c36c59c743173ae0e061871cf881fb44070b3ae","schema_version":"1.0","event_id":"sha256:5d4f470caba756a2bb550bf69c36c59c743173ae0e061871cf881fb44070b3ae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MUASJMOB6ZF6RVPUO3CFPBWADS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-dark soliton solutions for the multi-component coupled Maccari system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Tao Xu, Yong Chen","submitted_at":"2018-11-19T05:14:38Z","abstract_excerpt":"Based on the KP hierarchy reduction method, the general multi-dark soliton solutions in Gram type determinant forms for the multi-component coupled Maccari system are constructed. Especially, the three-component coupled Maccari system comprised of two-component short waves and single-component long waves are discussed in detail. Besides, the dynamics of one and two dark-dark solitons are analyzed. It is shown that the collisions of two dark-dark solitons are elastic by asymptotic analysis. Additionally, the two dark-dark solitons bound states are studied through two different cases (stationary"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07504","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/1811.07504/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":"2026-07-05T00:31:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IQlyfiI3YrVBRwNNgIseIMO6QgMfLoU64432x5gshRskxl4mZ3qja6e3aVhLsqEKsPPRrgcNrHUg4co3gFLpBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T19:21:10.754398Z"},"content_sha256":"76e1e250adeaa4b4f63a4033dce681aeb8a8272ad7e25529eda74ed600691fcd","schema_version":"1.0","event_id":"sha256:76e1e250adeaa4b4f63a4033dce681aeb8a8272ad7e25529eda74ed600691fcd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MUASJMOB6ZF6RVPUO3CFPBWADS/bundle.json","state_url":"https://pith.science/pith/MUASJMOB6ZF6RVPUO3CFPBWADS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MUASJMOB6ZF6RVPUO3CFPBWADS/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":"2026-08-04T19:21:10Z","links":{"resolver":"https://pith.science/pith/MUASJMOB6ZF6RVPUO3CFPBWADS","bundle":"https://pith.science/pith/MUASJMOB6ZF6RVPUO3CFPBWADS/bundle.json","state":"https://pith.science/pith/MUASJMOB6ZF6RVPUO3CFPBWADS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MUASJMOB6ZF6RVPUO3CFPBWADS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MUASJMOB6ZF6RVPUO3CFPBWADS","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":"2b310f85785cebb36680c6c636163659df4cc6073f381915b12f5f040181b02a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-11-19T05:14:38Z","title_canon_sha256":"25bdd7047dfb043f7c845beede1ac2c82265f52ebd7c531d5f8058b1bd1ac287"},"schema_version":"1.0","source":{"id":"1811.07504","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.07504","created_at":"2026-07-05T00:31:43Z"},{"alias_kind":"arxiv_version","alias_value":"1811.07504v1","created_at":"2026-07-05T00:31:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.07504","created_at":"2026-07-05T00:31:43Z"},{"alias_kind":"pith_short_12","alias_value":"MUASJMOB6ZF6","created_at":"2026-07-05T00:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"MUASJMOB6ZF6RVPU","created_at":"2026-07-05T00:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"MUASJMOB","created_at":"2026-07-05T00:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:76e1e250adeaa4b4f63a4033dce681aeb8a8272ad7e25529eda74ed600691fcd","target":"graph","created_at":"2026-07-05T00:31:43Z","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/1811.07504/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Based on the KP hierarchy reduction method, the general multi-dark soliton solutions in Gram type determinant forms for the multi-component coupled Maccari system are constructed. Especially, the three-component coupled Maccari system comprised of two-component short waves and single-component long waves are discussed in detail. Besides, the dynamics of one and two dark-dark solitons are analyzed. It is shown that the collisions of two dark-dark solitons are elastic by asymptotic analysis. Additionally, the two dark-dark solitons bound states are studied through two different cases (stationary","authors_text":"Tao Xu, Yong Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-11-19T05:14:38Z","title":"Multi-dark soliton solutions for the multi-component coupled Maccari system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07504","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":"sha256:5d4f470caba756a2bb550bf69c36c59c743173ae0e061871cf881fb44070b3ae","target":"record","created_at":"2026-07-05T00:31:43Z","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":"2b310f85785cebb36680c6c636163659df4cc6073f381915b12f5f040181b02a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-11-19T05:14:38Z","title_canon_sha256":"25bdd7047dfb043f7c845beede1ac2c82265f52ebd7c531d5f8058b1bd1ac287"},"schema_version":"1.0","source":{"id":"1811.07504","kind":"arxiv","version":1}},"canonical_sha256":"650124b1c1f64be8d5f476c45786c01c9c7c0ff7b4d7de4f10863848693db457","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"650124b1c1f64be8d5f476c45786c01c9c7c0ff7b4d7de4f10863848693db457","first_computed_at":"2026-07-05T00:31:43.765863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:31:43.765863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jxXHMXHuATjfWOx5cDSX5IMas/i2JQNpimjE3LDDT5XMJ+wIikCFuReB8chX51CenAuaoAl3N5KRCRXuGw4TCw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:31:43.766345Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.07504","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d4f470caba756a2bb550bf69c36c59c743173ae0e061871cf881fb44070b3ae","sha256:76e1e250adeaa4b4f63a4033dce681aeb8a8272ad7e25529eda74ed600691fcd"],"state_sha256":"aebfcebd2eb3cda8adb30306effa9e0d0cb878ea0fb93380a5b9639fb7c79081"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hQviDbTghBMQwhVS291GY3oYjgLOtlJWFPogNfFnt+ZdYD2todCTbxAlqyhigZD1MNttthP86MgmCNGOOcXpCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T19:21:10.758832Z","bundle_sha256":"edce8b40ca279413145b3ee398c3c625ce20bb600924ec7fff78f3cc0ce83671"}}