{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:S4EZFUPZPLTY6HWEF3KUZAEQ4J","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":"a3ddaf19e3b58e8635dd689387875441e60eba3886e348eb51aeaca329fcc51a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-10-05T06:00:52Z","title_canon_sha256":"784b377a08e73af29f8fb65c9c2a76393faf84f73bff8422cef633e41f8981bd"},"schema_version":"1.0","source":{"id":"1010.0770","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0770","created_at":"2026-05-18T02:05:11Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0770v4","created_at":"2026-05-18T02:05:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0770","created_at":"2026-05-18T02:05:11Z"},{"alias_kind":"pith_short_12","alias_value":"S4EZFUPZPLTY","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"S4EZFUPZPLTY6HWE","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"S4EZFUPZ","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:468daece276cdcccd891b11b676c23b65cdb73b4a14e08cf53f0cbb84b32c806","target":"graph","created_at":"2026-05-18T02:05:11Z","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 this note we show that the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 dimensions) has no exponentially localized solitons ( in the two-dimensional sense).","authors_text":"Roman Novikov (CMAP)","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-10-05T06:00:52Z","title":"Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0770","kind":"arxiv","version":4},"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":"sha256:8c5ad461825447d033b75a79371ec3a3d1277843cbb8fd65c239e21774e9e024","target":"record","created_at":"2026-05-18T02:05:11Z","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":"a3ddaf19e3b58e8635dd689387875441e60eba3886e348eb51aeaca329fcc51a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-10-05T06:00:52Z","title_canon_sha256":"784b377a08e73af29f8fb65c9c2a76393faf84f73bff8422cef633e41f8981bd"},"schema_version":"1.0","source":{"id":"1010.0770","kind":"arxiv","version":4}},"canonical_sha256":"970992d1f97ae78f1ec42ed54c8090e24729546f2a594aa57065c0827ab8286c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"970992d1f97ae78f1ec42ed54c8090e24729546f2a594aa57065c0827ab8286c","first_computed_at":"2026-05-18T02:05:11.462853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:11.462853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C/8vaC/36z8+715RqmHtEWfJ/vWnLsfwc6eUSHJNBtMWuV11bON6C3w9hJdI2T8ZJgdTU7pAXRozKSg9YgpSDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:11.463568Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.0770","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c5ad461825447d033b75a79371ec3a3d1277843cbb8fd65c239e21774e9e024","sha256:468daece276cdcccd891b11b676c23b65cdb73b4a14e08cf53f0cbb84b32c806"],"state_sha256":"89d6cfea22789e615ad78f8a9e5f647bc17317b89b6089a599885c34e488bc60"}