{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:23F3LUV5SZKIBV2ZCFYCBI7R22","short_pith_number":"pith:23F3LUV5","canonical_record":{"source":{"id":"nlin/0610061","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2006-10-25T14:33:28Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"e0c802f83f30bc6e2173fa45cbdcf6e31ac971115228d8cecc86b2ed2951e932","abstract_canon_sha256":"20d1d8a9c1935546fb87e16df809ddba6f2d6464309c1bf5ec485364672e660f"},"schema_version":"1.0"},"canonical_sha256":"d6cbb5d2bd965480d759117020a3f1d6a89dff6b3a3e81c7e3930030f2dd7549","source":{"kind":"arxiv","id":"nlin/0610061","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0610061","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0610061v1","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0610061","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"23F3LUV5SZKI","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"23F3LUV5SZKIBV2Z","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"23F3LUV5","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:23F3LUV5SZKIBV2ZCFYCBI7R22","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0610061","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2006-10-25T14:33:28Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"e0c802f83f30bc6e2173fa45cbdcf6e31ac971115228d8cecc86b2ed2951e932","abstract_canon_sha256":"20d1d8a9c1935546fb87e16df809ddba6f2d6464309c1bf5ec485364672e660f"},"schema_version":"1.0"},"canonical_sha256":"d6cbb5d2bd965480d759117020a3f1d6a89dff6b3a3e81c7e3930030f2dd7549","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:17.780873Z","signature_b64":"dSXxnOt/lnf/n/X2CMwxYIticEgCAxZSY1YMBs5gJe4zjjiceC04nTPKa8dNX6Cuzmjj2VbBoXTYNjLnihuHCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6cbb5d2bd965480d759117020a3f1d6a89dff6b3a3e81c7e3930030f2dd7549","last_reissued_at":"2026-05-18T01:38:17.780328Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:17.780328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0610061","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":"2026-05-18T01:38:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H1UjN8Mtg+ex0KE86WXy6TKkpso7U3yiaH4ZPLNuCLzGM58kVd+TojQKav4RC9c8lsL+eYexkwJDHq/Q6m26Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T12:03:36.298742Z"},"content_sha256":"66045429b064d61964cf526e3093944918498996983d189b9a86edfa9184f42f","schema_version":"1.0","event_id":"sha256:66045429b064d61964cf526e3093944918498996983d189b9a86edfa9184f42f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:23F3LUV5SZKIBV2ZCFYCBI7R22","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multicomponent integrable wave equations I. Darboux-Dressing Transformation","license":"","headline":"","cross_cats":["nlin.PS"],"primary_cat":"nlin.SI","authors_text":"Antonio Degasperis, Sara Lombardo","submitted_at":"2006-10-25T14:33:28Z","abstract_excerpt":"The Darboux-Dressing Transformations are applied to the Lax pair associated to systems of coupled nonlinear wave equations in the case of boundary values which are appropriate to both bright and dark soliton solutions. The general formalism is set up and the relevant equations are explicitly solved. Several instances of multicomponent wave equations of applicative interest, such as vector nonlinear Schroedinger-type equations and three resonant wave equations are considered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0610061","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":"2026-05-18T01:38:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zSjfA5EmhCX/1AzwwrnU4sP8KcTzGcPhh7zm0h3peBS+ESGYNlNy6JvuAy5PdnDabKMHuugEjb4XZnrLfWAgDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T12:03:36.299244Z"},"content_sha256":"3c77622cebcb8a06d577e511d3b47c46e9d758c02787eda48d7b1f2ddad2fce8","schema_version":"1.0","event_id":"sha256:3c77622cebcb8a06d577e511d3b47c46e9d758c02787eda48d7b1f2ddad2fce8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/23F3LUV5SZKIBV2ZCFYCBI7R22/bundle.json","state_url":"https://pith.science/pith/23F3LUV5SZKIBV2ZCFYCBI7R22/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/23F3LUV5SZKIBV2ZCFYCBI7R22/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":"2026-05-22T12:03:36Z","links":{"resolver":"https://pith.science/pith/23F3LUV5SZKIBV2ZCFYCBI7R22","bundle":"https://pith.science/pith/23F3LUV5SZKIBV2ZCFYCBI7R22/bundle.json","state":"https://pith.science/pith/23F3LUV5SZKIBV2ZCFYCBI7R22/state.json","well_known_bundle":"https://pith.science/.well-known/pith/23F3LUV5SZKIBV2ZCFYCBI7R22/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:23F3LUV5SZKIBV2ZCFYCBI7R22","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":"20d1d8a9c1935546fb87e16df809ddba6f2d6464309c1bf5ec485364672e660f","cross_cats_sorted":["nlin.PS"],"license":"","primary_cat":"nlin.SI","submitted_at":"2006-10-25T14:33:28Z","title_canon_sha256":"e0c802f83f30bc6e2173fa45cbdcf6e31ac971115228d8cecc86b2ed2951e932"},"schema_version":"1.0","source":{"id":"nlin/0610061","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0610061","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0610061v1","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0610061","created_at":"2026-05-18T01:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"23F3LUV5SZKI","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"23F3LUV5SZKIBV2Z","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"23F3LUV5","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:3c77622cebcb8a06d577e511d3b47c46e9d758c02787eda48d7b1f2ddad2fce8","target":"graph","created_at":"2026-05-18T01:38:17Z","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":"The Darboux-Dressing Transformations are applied to the Lax pair associated to systems of coupled nonlinear wave equations in the case of boundary values which are appropriate to both bright and dark soliton solutions. The general formalism is set up and the relevant equations are explicitly solved. Several instances of multicomponent wave equations of applicative interest, such as vector nonlinear Schroedinger-type equations and three resonant wave equations are considered.","authors_text":"Antonio Degasperis, Sara Lombardo","cross_cats":["nlin.PS"],"headline":"","license":"","primary_cat":"nlin.SI","submitted_at":"2006-10-25T14:33:28Z","title":"Multicomponent integrable wave equations I. Darboux-Dressing Transformation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0610061","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":"sha256:66045429b064d61964cf526e3093944918498996983d189b9a86edfa9184f42f","target":"record","created_at":"2026-05-18T01:38:17Z","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":"20d1d8a9c1935546fb87e16df809ddba6f2d6464309c1bf5ec485364672e660f","cross_cats_sorted":["nlin.PS"],"license":"","primary_cat":"nlin.SI","submitted_at":"2006-10-25T14:33:28Z","title_canon_sha256":"e0c802f83f30bc6e2173fa45cbdcf6e31ac971115228d8cecc86b2ed2951e932"},"schema_version":"1.0","source":{"id":"nlin/0610061","kind":"arxiv","version":1}},"canonical_sha256":"d6cbb5d2bd965480d759117020a3f1d6a89dff6b3a3e81c7e3930030f2dd7549","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6cbb5d2bd965480d759117020a3f1d6a89dff6b3a3e81c7e3930030f2dd7549","first_computed_at":"2026-05-18T01:38:17.780328Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:17.780328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dSXxnOt/lnf/n/X2CMwxYIticEgCAxZSY1YMBs5gJe4zjjiceC04nTPKa8dNX6Cuzmjj2VbBoXTYNjLnihuHCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:17.780873Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0610061","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66045429b064d61964cf526e3093944918498996983d189b9a86edfa9184f42f","sha256:3c77622cebcb8a06d577e511d3b47c46e9d758c02787eda48d7b1f2ddad2fce8"],"state_sha256":"0e3635a0d73ba687b9eff3570d2226b1589df5ca8ba259ee6fa8354edc91ac62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jQpCZZKfmQhMM4/kYRkiAdfUTUMgHLy+R1xuOyI4BoGs3CAAyPTMwQSMVumtPzxJpSUg08mgp8kiQMBh9tmiDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T12:03:36.302879Z","bundle_sha256":"baf47e8cd9f0f005f6688b02a21c32be4e1c9094387b2219399090f0754dfa0f"}}