{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MBNDEKOLD7EGQYN3A3CEYYC76K","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":"8a96faa904574a47496fd081f54727d23bad7343a4aafc420041400504045cec","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-07-06T15:05:00Z","title_canon_sha256":"ec85ef4c064289caa687ed6956605e0ab06b1727254401ca081b3c22924a1f25"},"schema_version":"1.0","source":{"id":"1107.1150","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1150","created_at":"2026-05-18T02:01:22Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1150v2","created_at":"2026-05-18T02:01:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1150","created_at":"2026-05-18T02:01:22Z"},{"alias_kind":"pith_short_12","alias_value":"MBNDEKOLD7EG","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"MBNDEKOLD7EGQYN3","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"MBNDEKOL","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:8cb4ddfd3b127cd54e3708383abd467ce38a37a7de855798db2b7ea91b624418","target":"graph","created_at":"2026-05-18T02:01:22Z","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 are concerned with the Novikov--Veselov equation at negative energy, i.e. with the $ (2 + 1) $--dimensional analog of the KdV equation integrable by the method of inverse scattering for the two--dimensional Schr\\\"odinger equation at negative energy. We show that the solution of the Cauchy problem for this equation with non--singular scattering data behaves asymptotically as $ \\frac{\\const}{t^{3/4}} $ in the uniform norm at large times $ t $. We also present some arguments which indicate that this asymptotics is optimal.","authors_text":"Anna Kazeykina (CMAP)","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-07-06T15:05:00Z","title":"A large time asymptotics for the solution of the Cauchy problem for the Novikov-Veselov equation at negative energy with non-singular scattering data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1150","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:c21b3f33eec4812af42adf74e3930866c90724ec00964797f997c2b39b3a2c46","target":"record","created_at":"2026-05-18T02:01:22Z","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":"8a96faa904574a47496fd081f54727d23bad7343a4aafc420041400504045cec","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-07-06T15:05:00Z","title_canon_sha256":"ec85ef4c064289caa687ed6956605e0ab06b1727254401ca081b3c22924a1f25"},"schema_version":"1.0","source":{"id":"1107.1150","kind":"arxiv","version":2}},"canonical_sha256":"605a3229cb1fc86861bb06c44c605ff2be79629afd114032baa1f96fae817ca6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"605a3229cb1fc86861bb06c44c605ff2be79629afd114032baa1f96fae817ca6","first_computed_at":"2026-05-18T02:01:22.445355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:22.445355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p7H2ktyvfq1bfkYUaC2ltSdo9sDczSvN2nSvMK5u6AwxV+htRfakRdMXYR2qqXDJzdPSCnnrn5R9HaMjiINACQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:22.446160Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.1150","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c21b3f33eec4812af42adf74e3930866c90724ec00964797f997c2b39b3a2c46","sha256:8cb4ddfd3b127cd54e3708383abd467ce38a37a7de855798db2b7ea91b624418"],"state_sha256":"adc4af5202626bffef2fe1afc41b566029cd870df14666e93b4631119aece793"}