{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CYWCMCC5JR352G6HVEO7Y7OKL5","short_pith_number":"pith:CYWCMCC5","canonical_record":{"source":{"id":"1710.03819","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-10T20:58:42Z","cross_cats_sorted":["math-ph","math.MP","math.SP"],"title_canon_sha256":"d924484b41b6108fa52951a94926e194522249a0701dfa9b68351584c099b02c","abstract_canon_sha256":"19ad9e033e03bdc43cb549e6c1aabd0aa4775c8d7bb3d2d813506a17a93cd19c"},"schema_version":"1.0"},"canonical_sha256":"162c26085d4c77dd1bc7a91dfc7dca5f59d4c746748a02a63a08e56e459f633f","source":{"kind":"arxiv","id":"1710.03819","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.03819","created_at":"2026-05-18T00:15:20Z"},{"alias_kind":"arxiv_version","alias_value":"1710.03819v2","created_at":"2026-05-18T00:15:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.03819","created_at":"2026-05-18T00:15:20Z"},{"alias_kind":"pith_short_12","alias_value":"CYWCMCC5JR35","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CYWCMCC5JR352G6H","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CYWCMCC5","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CYWCMCC5JR352G6HVEO7Y7OKL5","target":"record","payload":{"canonical_record":{"source":{"id":"1710.03819","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-10T20:58:42Z","cross_cats_sorted":["math-ph","math.MP","math.SP"],"title_canon_sha256":"d924484b41b6108fa52951a94926e194522249a0701dfa9b68351584c099b02c","abstract_canon_sha256":"19ad9e033e03bdc43cb549e6c1aabd0aa4775c8d7bb3d2d813506a17a93cd19c"},"schema_version":"1.0"},"canonical_sha256":"162c26085d4c77dd1bc7a91dfc7dca5f59d4c746748a02a63a08e56e459f633f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:20.604142Z","signature_b64":"L2CASavhZuY8By8XDNfqsBtQv7PZ0mRGzzWP4UAxg1Z/IfZQMFRI57Z/L913Ub/krqXYwcbO5EHM+Zog1j5QAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"162c26085d4c77dd1bc7a91dfc7dca5f59d4c746748a02a63a08e56e459f633f","last_reissued_at":"2026-05-18T00:15:20.603531Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:20.603531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.03819","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":"2026-05-18T00:15:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oyLg0eUxc8ID+le/ZFcVopeRDhgAtn5i3B+T6iW6Y73MMNeB37wRpNNhIQ3wQzl8uSb+eYm0ym/YSRYC9OP6CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:11:28.204937Z"},"content_sha256":"f7d47388bfe40dcc0bbcff669a2e5c26fc4fbbf4a5119db5bc81a3d2d22e4326","schema_version":"1.0","event_id":"sha256:f7d47388bfe40dcc0bbcff669a2e5c26fc4fbbf4a5119db5bc81a3d2d22e4326"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CYWCMCC5JR352G6HVEO7Y7OKL5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Soliton Resolution for the Derivative Nonlinear Schr\\\"odinger Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.SP"],"primary_cat":"math.AP","authors_text":"Catherine Sulem, Jiaqi Liu, Peter Perry, Robert Jenkins","submitted_at":"2017-10-10T20:58:42Z","abstract_excerpt":"We study the Derivative Nonlinear Schr\\\"odinger equation for generic initial data in a weighted Sobolev space that can support bright solitons (but exclude spectral singularities). Drawing on previous well-posedness results, we give a full description of the long-time behavior of the solutions in the form of a finite sum of localized solitons and a dispersive component. At leading order and in space-time cones, the solution has the form of a multi-soliton whose parameters are slightly modified from their initial values by soliton-soliton and soliton-radiation interactions. Our analysis provide"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.03819","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":"2026-05-18T00:15:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lpMGf+GYTfOSn7VkUcreSVEkWGHmIpl/9e4NokDFYwyOH/Lj2nAXCWqtrnD5yEBhoLFP5ewWVY8KV5Kps4yqAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:11:28.205622Z"},"content_sha256":"5c9017ce489c4eadbd7495414cd1b2913d2227be91eeba0327e852714b34df74","schema_version":"1.0","event_id":"sha256:5c9017ce489c4eadbd7495414cd1b2913d2227be91eeba0327e852714b34df74"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CYWCMCC5JR352G6HVEO7Y7OKL5/bundle.json","state_url":"https://pith.science/pith/CYWCMCC5JR352G6HVEO7Y7OKL5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CYWCMCC5JR352G6HVEO7Y7OKL5/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":"2026-05-26T19:11:28Z","links":{"resolver":"https://pith.science/pith/CYWCMCC5JR352G6HVEO7Y7OKL5","bundle":"https://pith.science/pith/CYWCMCC5JR352G6HVEO7Y7OKL5/bundle.json","state":"https://pith.science/pith/CYWCMCC5JR352G6HVEO7Y7OKL5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CYWCMCC5JR352G6HVEO7Y7OKL5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CYWCMCC5JR352G6HVEO7Y7OKL5","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":"19ad9e033e03bdc43cb549e6c1aabd0aa4775c8d7bb3d2d813506a17a93cd19c","cross_cats_sorted":["math-ph","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-10T20:58:42Z","title_canon_sha256":"d924484b41b6108fa52951a94926e194522249a0701dfa9b68351584c099b02c"},"schema_version":"1.0","source":{"id":"1710.03819","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.03819","created_at":"2026-05-18T00:15:20Z"},{"alias_kind":"arxiv_version","alias_value":"1710.03819v2","created_at":"2026-05-18T00:15:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.03819","created_at":"2026-05-18T00:15:20Z"},{"alias_kind":"pith_short_12","alias_value":"CYWCMCC5JR35","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CYWCMCC5JR352G6H","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CYWCMCC5","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:5c9017ce489c4eadbd7495414cd1b2913d2227be91eeba0327e852714b34df74","target":"graph","created_at":"2026-05-18T00:15:20Z","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 study the Derivative Nonlinear Schr\\\"odinger equation for generic initial data in a weighted Sobolev space that can support bright solitons (but exclude spectral singularities). Drawing on previous well-posedness results, we give a full description of the long-time behavior of the solutions in the form of a finite sum of localized solitons and a dispersive component. At leading order and in space-time cones, the solution has the form of a multi-soliton whose parameters are slightly modified from their initial values by soliton-soliton and soliton-radiation interactions. Our analysis provide","authors_text":"Catherine Sulem, Jiaqi Liu, Peter Perry, Robert Jenkins","cross_cats":["math-ph","math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-10T20:58:42Z","title":"Soliton Resolution for the Derivative Nonlinear Schr\\\"odinger Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.03819","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:f7d47388bfe40dcc0bbcff669a2e5c26fc4fbbf4a5119db5bc81a3d2d22e4326","target":"record","created_at":"2026-05-18T00:15:20Z","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":"19ad9e033e03bdc43cb549e6c1aabd0aa4775c8d7bb3d2d813506a17a93cd19c","cross_cats_sorted":["math-ph","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-10T20:58:42Z","title_canon_sha256":"d924484b41b6108fa52951a94926e194522249a0701dfa9b68351584c099b02c"},"schema_version":"1.0","source":{"id":"1710.03819","kind":"arxiv","version":2}},"canonical_sha256":"162c26085d4c77dd1bc7a91dfc7dca5f59d4c746748a02a63a08e56e459f633f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"162c26085d4c77dd1bc7a91dfc7dca5f59d4c746748a02a63a08e56e459f633f","first_computed_at":"2026-05-18T00:15:20.603531Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:20.603531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L2CASavhZuY8By8XDNfqsBtQv7PZ0mRGzzWP4UAxg1Z/IfZQMFRI57Z/L913Ub/krqXYwcbO5EHM+Zog1j5QAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:20.604142Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.03819","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7d47388bfe40dcc0bbcff669a2e5c26fc4fbbf4a5119db5bc81a3d2d22e4326","sha256:5c9017ce489c4eadbd7495414cd1b2913d2227be91eeba0327e852714b34df74"],"state_sha256":"bfcbe65fd1bd66b4dcebc735ce4aef5525b8677caa4a1b2e10ab3d3ee0f2d8f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qOI5xIPJbhS3RI4lRfD9Vw54cSigxHSI3RY8FgQfFRujKgc58pJaedD9h8y4HIwKP+7BaUHKVXsEy42UcXSBCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T19:11:28.209093Z","bundle_sha256":"caeb3d8554c01b3b0968e5614f4c851301ad4144a2873499ab34b7e3bc617214"}}