{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:63WPFAPLF2PS7P4WJ3ELSEVALK","short_pith_number":"pith:63WPFAPL","canonical_record":{"source":{"id":"1302.0107","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-02-01T08:42:15Z","cross_cats_sorted":[],"title_canon_sha256":"38801a5ff9d358f9ab64fe6794b12adad286e6cb7030dd10bce4d7e94d032532","abstract_canon_sha256":"1f6e6d93718d635baf9e4c245d851eb8fe9dd1079e6ab98ba3d773ec0586edaf"},"schema_version":"1.0"},"canonical_sha256":"f6ecf281eb2e9f2fbf964ec8b912a05a8c1a0b4f1b799dc9e6a4441190fcca37","source":{"kind":"arxiv","id":"1302.0107","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0107","created_at":"2026-05-18T01:51:51Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0107v2","created_at":"2026-05-18T01:51:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0107","created_at":"2026-05-18T01:51:51Z"},{"alias_kind":"pith_short_12","alias_value":"63WPFAPLF2PS","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"63WPFAPLF2PS7P4W","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"63WPFAPL","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:63WPFAPLF2PS7P4WJ3ELSEVALK","target":"record","payload":{"canonical_record":{"source":{"id":"1302.0107","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-02-01T08:42:15Z","cross_cats_sorted":[],"title_canon_sha256":"38801a5ff9d358f9ab64fe6794b12adad286e6cb7030dd10bce4d7e94d032532","abstract_canon_sha256":"1f6e6d93718d635baf9e4c245d851eb8fe9dd1079e6ab98ba3d773ec0586edaf"},"schema_version":"1.0"},"canonical_sha256":"f6ecf281eb2e9f2fbf964ec8b912a05a8c1a0b4f1b799dc9e6a4441190fcca37","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:51.519293Z","signature_b64":"PMuf73rPaw9cBsy6N5/2dFasQ0UWnLpVZpmZ9Q9sHRgeRmipS2b0hfaYqIBWEjWGqOTFFd6mACo6tJwH8qSFCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6ecf281eb2e9f2fbf964ec8b912a05a8c1a0b4f1b799dc9e6a4441190fcca37","last_reissued_at":"2026-05-18T01:51:51.518612Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:51.518612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.0107","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:51:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YfUQl2QJ9UGTXKx06uMZIbvwGFYLIDC0rq+NmAOztGaarFtBC4qesYULYWJQpleyaeQSVLFpcH0JYfJUW7i2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:00:59.105890Z"},"content_sha256":"3ff0879b854d0f8664edca14654d8f879e9b268b9256dbab29675ffb07bb4856","schema_version":"1.0","event_id":"sha256:3ff0879b854d0f8664edca14654d8f879e9b268b9256dbab29675ffb07bb4856"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:63WPFAPLF2PS7P4WJ3ELSEVALK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"B\\\"acklund transformation and smooth multisoliton solutions for a modified Camassa-Holm equation with cubic nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Yoshimasa Matsuno","submitted_at":"2013-02-01T08:42:15Z","abstract_excerpt":"We present a compact parametric representation of the smooth bright multisolution solutions for the modified Camassa-Holm (mCH) equation with cubic nonlinearity. We first transform the mCH equation to an associated mCH equation through a reciprocal transformation and then find a novel B\\\"acklund transformation between solutions of the associated mCH equation and a model equation for shallow-water waves (SWW) introduced by Ablowitz {\\it at al}. We combine this result with the expressions of the multisoliton solutions for the SWW and modified Korteweg-de Vries equations to obtain the multisolito"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0107","kind":"arxiv","version":2},"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":"2026-05-18T01:51:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dl/0+rR6/7VIl+yR90V3Qs2sVSyKLPQIgDwe5W7VvuMxheQlvWFwPrzXTNtikAhfvuPSjcH3Q+ocFU2kw7qhDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:00:59.106599Z"},"content_sha256":"c06b33687b2f480381c75c9506fdc79e6344d3e1d6a4b2027d6de5cfa6a3cd4e","schema_version":"1.0","event_id":"sha256:c06b33687b2f480381c75c9506fdc79e6344d3e1d6a4b2027d6de5cfa6a3cd4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/63WPFAPLF2PS7P4WJ3ELSEVALK/bundle.json","state_url":"https://pith.science/pith/63WPFAPLF2PS7P4WJ3ELSEVALK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/63WPFAPLF2PS7P4WJ3ELSEVALK/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":"2026-05-31T21:00:59Z","links":{"resolver":"https://pith.science/pith/63WPFAPLF2PS7P4WJ3ELSEVALK","bundle":"https://pith.science/pith/63WPFAPLF2PS7P4WJ3ELSEVALK/bundle.json","state":"https://pith.science/pith/63WPFAPLF2PS7P4WJ3ELSEVALK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/63WPFAPLF2PS7P4WJ3ELSEVALK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:63WPFAPLF2PS7P4WJ3ELSEVALK","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":"1f6e6d93718d635baf9e4c245d851eb8fe9dd1079e6ab98ba3d773ec0586edaf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-02-01T08:42:15Z","title_canon_sha256":"38801a5ff9d358f9ab64fe6794b12adad286e6cb7030dd10bce4d7e94d032532"},"schema_version":"1.0","source":{"id":"1302.0107","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0107","created_at":"2026-05-18T01:51:51Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0107v2","created_at":"2026-05-18T01:51:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0107","created_at":"2026-05-18T01:51:51Z"},{"alias_kind":"pith_short_12","alias_value":"63WPFAPLF2PS","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"63WPFAPLF2PS7P4W","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"63WPFAPL","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:c06b33687b2f480381c75c9506fdc79e6344d3e1d6a4b2027d6de5cfa6a3cd4e","target":"graph","created_at":"2026-05-18T01:51:51Z","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":"We present a compact parametric representation of the smooth bright multisolution solutions for the modified Camassa-Holm (mCH) equation with cubic nonlinearity. We first transform the mCH equation to an associated mCH equation through a reciprocal transformation and then find a novel B\\\"acklund transformation between solutions of the associated mCH equation and a model equation for shallow-water waves (SWW) introduced by Ablowitz {\\it at al}. We combine this result with the expressions of the multisoliton solutions for the SWW and modified Korteweg-de Vries equations to obtain the multisolito","authors_text":"Yoshimasa Matsuno","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-02-01T08:42:15Z","title":"B\\\"acklund transformation and smooth multisoliton solutions for a modified Camassa-Holm equation with cubic nonlinearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0107","kind":"arxiv","version":2},"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":"sha256:3ff0879b854d0f8664edca14654d8f879e9b268b9256dbab29675ffb07bb4856","target":"record","created_at":"2026-05-18T01:51:51Z","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":"1f6e6d93718d635baf9e4c245d851eb8fe9dd1079e6ab98ba3d773ec0586edaf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-02-01T08:42:15Z","title_canon_sha256":"38801a5ff9d358f9ab64fe6794b12adad286e6cb7030dd10bce4d7e94d032532"},"schema_version":"1.0","source":{"id":"1302.0107","kind":"arxiv","version":2}},"canonical_sha256":"f6ecf281eb2e9f2fbf964ec8b912a05a8c1a0b4f1b799dc9e6a4441190fcca37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6ecf281eb2e9f2fbf964ec8b912a05a8c1a0b4f1b799dc9e6a4441190fcca37","first_computed_at":"2026-05-18T01:51:51.518612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:51.518612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PMuf73rPaw9cBsy6N5/2dFasQ0UWnLpVZpmZ9Q9sHRgeRmipS2b0hfaYqIBWEjWGqOTFFd6mACo6tJwH8qSFCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:51.519293Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.0107","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ff0879b854d0f8664edca14654d8f879e9b268b9256dbab29675ffb07bb4856","sha256:c06b33687b2f480381c75c9506fdc79e6344d3e1d6a4b2027d6de5cfa6a3cd4e"],"state_sha256":"8bd6e867c0b04cb923535848df495fb649d7bfcac7a9a6620f5fead063fe2f91"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LStDWQZtiWOG5J/KXo6+UDxr8b0gcrTyzsPQUo98lo84hmUBbwkHRM4FmDqxQ5bEbmzUGQQ4RpLToMynpa28CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T21:00:59.111144Z","bundle_sha256":"3d4eba55671456c85d089cc18704df4ee1423a68fba94fe7eedbbed3890b29ee"}}