{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:W2U3HIIWD3CYBI6ABINCVVERFF","short_pith_number":"pith:W2U3HIIW","schema_version":"1.0","canonical_sha256":"b6a9b3a1161ec580a3c00a1a2ad491297c5454a81b8a9d5a677d8b6619f431f6","source":{"kind":"arxiv","id":"1203.4027","version":3},"attestation_state":"computed","paper":{"title":"Invariant measures and the soliton resolution conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"math.AP","authors_text":"Sourav Chatterjee","submitted_at":"2012-03-19T03:39:09Z","abstract_excerpt":"The soliton resolution conjecture for the focusing nonlinear Schrodinger equation (NLS) is the vaguely worded claim that a global solution of the NLS, for generic initial data, will eventually resolve into a radiation component that disperses like a linear solution, plus a localized component that behaves like a soliton or multi-soliton solution. Considered to be one of the fundamental open problems in the area of nonlinear dispersive equations, this conjecture has eluded a proof or even a precise formulation till date. This paper proves a \"statistical version\" of this conjecture at mass-subcr"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1203.4027","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-03-19T03:39:09Z","cross_cats_sorted":["math-ph","math.MP","math.PR"],"title_canon_sha256":"cbaed2e0e68bc8a33946f5c10e85a3262dbf5d9c5ba55431b090bc92c2128fd2","abstract_canon_sha256":"f926aeb2c9096b18185ac4159a074a2ff0caca91f0ff01d49483b1b7d82873e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:05.286105Z","signature_b64":"STX3kUxdSlLqyeplqqJYQ9CS/GnWJNnJNi7fLg7HH/lZjJ2sNLMGoa2f8rDhdko2txIwoIR+JqAfWucyjza7DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6a9b3a1161ec580a3c00a1a2ad491297c5454a81b8a9d5a677d8b6619f431f6","last_reissued_at":"2026-05-18T03:29:05.285488Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:05.285488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Invariant measures and the soliton resolution conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"math.AP","authors_text":"Sourav Chatterjee","submitted_at":"2012-03-19T03:39:09Z","abstract_excerpt":"The soliton resolution conjecture for the focusing nonlinear Schrodinger equation (NLS) is the vaguely worded claim that a global solution of the NLS, for generic initial data, will eventually resolve into a radiation component that disperses like a linear solution, plus a localized component that behaves like a soliton or multi-soliton solution. Considered to be one of the fundamental open problems in the area of nonlinear dispersive equations, this conjecture has eluded a proof or even a precise formulation till date. This paper proves a \"statistical version\" of this conjecture at mass-subcr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4027","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1203.4027","created_at":"2026-05-18T03:29:05.285570+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.4027v3","created_at":"2026-05-18T03:29:05.285570+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4027","created_at":"2026-05-18T03:29:05.285570+00:00"},{"alias_kind":"pith_short_12","alias_value":"W2U3HIIWD3CY","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"W2U3HIIWD3CYBI6A","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"W2U3HIIW","created_at":"2026-05-18T12:27:25.539911+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/W2U3HIIWD3CYBI6ABINCVVERFF","json":"https://pith.science/pith/W2U3HIIWD3CYBI6ABINCVVERFF.json","graph_json":"https://pith.science/api/pith-number/W2U3HIIWD3CYBI6ABINCVVERFF/graph.json","events_json":"https://pith.science/api/pith-number/W2U3HIIWD3CYBI6ABINCVVERFF/events.json","paper":"https://pith.science/paper/W2U3HIIW"},"agent_actions":{"view_html":"https://pith.science/pith/W2U3HIIWD3CYBI6ABINCVVERFF","download_json":"https://pith.science/pith/W2U3HIIWD3CYBI6ABINCVVERFF.json","view_paper":"https://pith.science/paper/W2U3HIIW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.4027&json=true","fetch_graph":"https://pith.science/api/pith-number/W2U3HIIWD3CYBI6ABINCVVERFF/graph.json","fetch_events":"https://pith.science/api/pith-number/W2U3HIIWD3CYBI6ABINCVVERFF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W2U3HIIWD3CYBI6ABINCVVERFF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W2U3HIIWD3CYBI6ABINCVVERFF/action/storage_attestation","attest_author":"https://pith.science/pith/W2U3HIIWD3CYBI6ABINCVVERFF/action/author_attestation","sign_citation":"https://pith.science/pith/W2U3HIIWD3CYBI6ABINCVVERFF/action/citation_signature","submit_replication":"https://pith.science/pith/W2U3HIIWD3CYBI6ABINCVVERFF/action/replication_record"}},"created_at":"2026-05-18T03:29:05.285570+00:00","updated_at":"2026-05-18T03:29:05.285570+00:00"}