{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:36X4V4AEHBVJ4CO2M6KZHMVBQM","short_pith_number":"pith:36X4V4AE","canonical_record":{"source":{"id":"1603.00781","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-03-02T16:35:57Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d2a3762b39200ed096e2f2d1381997747042660239546e96eef207417b030658","abstract_canon_sha256":"8f0c3d1413c436a3095010658c85bf826eeb5b65026eedc1050e6e2acf10bc64"},"schema_version":"1.0"},"canonical_sha256":"dfafcaf004386a9e09da679593b2a1832dc84455bbcd0bf663eb21a835ee5f3f","source":{"kind":"arxiv","id":"1603.00781","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.00781","created_at":"2026-05-18T01:01:51Z"},{"alias_kind":"arxiv_version","alias_value":"1603.00781v2","created_at":"2026-05-18T01:01:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00781","created_at":"2026-05-18T01:01:51Z"},{"alias_kind":"pith_short_12","alias_value":"36X4V4AEHBVJ","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"36X4V4AEHBVJ4CO2","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"36X4V4AE","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:36X4V4AEHBVJ4CO2M6KZHMVBQM","target":"record","payload":{"canonical_record":{"source":{"id":"1603.00781","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-03-02T16:35:57Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d2a3762b39200ed096e2f2d1381997747042660239546e96eef207417b030658","abstract_canon_sha256":"8f0c3d1413c436a3095010658c85bf826eeb5b65026eedc1050e6e2acf10bc64"},"schema_version":"1.0"},"canonical_sha256":"dfafcaf004386a9e09da679593b2a1832dc84455bbcd0bf663eb21a835ee5f3f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:51.932489Z","signature_b64":"kTiB8R/JcBdGpFlpgB5Cn1de2nUTrQdHUJu3IduMsBVygkagHWZFz9cy9ae4jY/P+kWWKYxkvGFiFcp4NaZTCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dfafcaf004386a9e09da679593b2a1832dc84455bbcd0bf663eb21a835ee5f3f","last_reissued_at":"2026-05-18T01:01:51.931797Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:51.931797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.00781","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":"2026-05-18T01:01:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WpUuWiY7RHQdhT41Zs3PFbG2O4pD5d/GPRRAOcBFmHPfMsmcB2UYda2IhzZUzoPack3WvxV4fxSOXarrLy/VBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:57:45.975102Z"},"content_sha256":"63d888ec2587ec0433b8aec4582e2d329fbcbbf4785368b9b1dd03bf7a47c117","schema_version":"1.0","event_id":"sha256:63d888ec2587ec0433b8aec4582e2d329fbcbbf4785368b9b1dd03bf7a47c117"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:36X4V4AEHBVJ4CO2M6KZHMVBQM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric formulation and multi-dark soliton solution to the defocusinig complex short pulse equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Bao-feng Feng, Ken-ichi Maruno, Yasuhiro Ohta","submitted_at":"2016-03-02T16:35:57Z","abstract_excerpt":"In the present paper, we study the defocusing complex short pulse (CSP) equations both geometrically and algebraically. From the geometric point of view, we establish a link of the complex coupled dispersionless (CCD) system with the motion of space curves in Minkowski space $\\mathbf{R}^{2,1}$, then with the defocusing CSP equation via a hodograph (reciprocal) transformation, the Lax pair is constructed naturally for the defocusing CSP equation. We also show that the CCD system of both the focusing and defocusing types can be derived from the fundamental forms of surfaces such that their curve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00781","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":"2026-05-18T01:01:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c6QHbBUodLmgrsI1XoDQP2RSYJHBbzcRS0COncsUwJ6hsdBEUZ0g+dO0KNsH4RdDShbZMFwF5/kCBzkwUtIkDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:57:45.975636Z"},"content_sha256":"b0657e566cc3940169d54c26267008339023ce008b3a74980232affa390cbf96","schema_version":"1.0","event_id":"sha256:b0657e566cc3940169d54c26267008339023ce008b3a74980232affa390cbf96"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/36X4V4AEHBVJ4CO2M6KZHMVBQM/bundle.json","state_url":"https://pith.science/pith/36X4V4AEHBVJ4CO2M6KZHMVBQM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/36X4V4AEHBVJ4CO2M6KZHMVBQM/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":"2026-05-30T06:57:45Z","links":{"resolver":"https://pith.science/pith/36X4V4AEHBVJ4CO2M6KZHMVBQM","bundle":"https://pith.science/pith/36X4V4AEHBVJ4CO2M6KZHMVBQM/bundle.json","state":"https://pith.science/pith/36X4V4AEHBVJ4CO2M6KZHMVBQM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/36X4V4AEHBVJ4CO2M6KZHMVBQM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:36X4V4AEHBVJ4CO2M6KZHMVBQM","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":"8f0c3d1413c436a3095010658c85bf826eeb5b65026eedc1050e6e2acf10bc64","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-03-02T16:35:57Z","title_canon_sha256":"d2a3762b39200ed096e2f2d1381997747042660239546e96eef207417b030658"},"schema_version":"1.0","source":{"id":"1603.00781","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.00781","created_at":"2026-05-18T01:01:51Z"},{"alias_kind":"arxiv_version","alias_value":"1603.00781v2","created_at":"2026-05-18T01:01:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00781","created_at":"2026-05-18T01:01:51Z"},{"alias_kind":"pith_short_12","alias_value":"36X4V4AEHBVJ","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"36X4V4AEHBVJ4CO2","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"36X4V4AE","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:b0657e566cc3940169d54c26267008339023ce008b3a74980232affa390cbf96","target":"graph","created_at":"2026-05-18T01:01:51Z","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":"In the present paper, we study the defocusing complex short pulse (CSP) equations both geometrically and algebraically. From the geometric point of view, we establish a link of the complex coupled dispersionless (CCD) system with the motion of space curves in Minkowski space $\\mathbf{R}^{2,1}$, then with the defocusing CSP equation via a hodograph (reciprocal) transformation, the Lax pair is constructed naturally for the defocusing CSP equation. We also show that the CCD system of both the focusing and defocusing types can be derived from the fundamental forms of surfaces such that their curve","authors_text":"Bao-feng Feng, Ken-ichi Maruno, Yasuhiro Ohta","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-03-02T16:35:57Z","title":"Geometric formulation and multi-dark soliton solution to the defocusinig complex short pulse equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00781","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":"sha256:63d888ec2587ec0433b8aec4582e2d329fbcbbf4785368b9b1dd03bf7a47c117","target":"record","created_at":"2026-05-18T01:01:51Z","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":"8f0c3d1413c436a3095010658c85bf826eeb5b65026eedc1050e6e2acf10bc64","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-03-02T16:35:57Z","title_canon_sha256":"d2a3762b39200ed096e2f2d1381997747042660239546e96eef207417b030658"},"schema_version":"1.0","source":{"id":"1603.00781","kind":"arxiv","version":2}},"canonical_sha256":"dfafcaf004386a9e09da679593b2a1832dc84455bbcd0bf663eb21a835ee5f3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dfafcaf004386a9e09da679593b2a1832dc84455bbcd0bf663eb21a835ee5f3f","first_computed_at":"2026-05-18T01:01:51.931797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:51.931797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kTiB8R/JcBdGpFlpgB5Cn1de2nUTrQdHUJu3IduMsBVygkagHWZFz9cy9ae4jY/P+kWWKYxkvGFiFcp4NaZTCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:51.932489Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.00781","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63d888ec2587ec0433b8aec4582e2d329fbcbbf4785368b9b1dd03bf7a47c117","sha256:b0657e566cc3940169d54c26267008339023ce008b3a74980232affa390cbf96"],"state_sha256":"938d965cb7497e0ea2cc12e53f2fc52a41e2db39bae7b2be6dbe4722ddc640f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tpvMWvKb3sHJOGwYcF+dj/N8jSQLdvxbITqoED4MQKcvdy0jmsHWCZFfgU5BAy4I6JIv5M5Sahlaw417riZSDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T06:57:45.978196Z","bundle_sha256":"c7995245f800e53d3c98d89f5edb06a2fd5bff8130c65b713cc579fdda5de2f8"}}