{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KENWRBOMWHTG7GPLWWONRONHPT","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":"64c6f5f097e2739ea0e53e7a178d572522887bd894c90a00048369a0f34cba55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-01-01T07:37:43Z","title_canon_sha256":"67e60bc8d8d3f6ea5115b2420adce732d15fa32b22f9893534b5e228ee8d6009"},"schema_version":"1.0","source":{"id":"1201.0335","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0335","created_at":"2026-05-18T04:05:25Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0335v1","created_at":"2026-05-18T04:05:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0335","created_at":"2026-05-18T04:05:25Z"},{"alias_kind":"pith_short_12","alias_value":"KENWRBOMWHTG","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KENWRBOMWHTG7GPL","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KENWRBOM","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:ff7a4ecd3fc7b94e6c19db475b2c8e1d8c285d6fec7f09fdd189502788e9cf29","target":"graph","created_at":"2026-05-18T04:05:25Z","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 consider a linear second order parabolic system with a third order dispersion term. This type of system arises when considering a nonlinear model equation describing the motion of a vortex filament with axial flow immersed in an incompressible and inviscid fluid. We prove the solvability of an initial-boundary value problem of the parabolic-dispersive system which allows application to the motion of a vortex filament. To do so, we propose a new regularization technique by adding a space-time derivative term.","authors_text":"Masashi Aiki, Tatsuo Iguchi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-01-01T07:37:43Z","title":"Solvability of an Initial-Boundary Value Problem for a Second Order Parabolic System with a Third Order Dispersion Term"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0335","kind":"arxiv","version":1},"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":"sha256:926f346919c8d8ad8bb2a0ea59251ab3825ce74fe23baa8cfcdc1c5336e64389","target":"record","created_at":"2026-05-18T04:05:25Z","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":"64c6f5f097e2739ea0e53e7a178d572522887bd894c90a00048369a0f34cba55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-01-01T07:37:43Z","title_canon_sha256":"67e60bc8d8d3f6ea5115b2420adce732d15fa32b22f9893534b5e228ee8d6009"},"schema_version":"1.0","source":{"id":"1201.0335","kind":"arxiv","version":1}},"canonical_sha256":"511b6885ccb1e66f99ebb59cd8b9a77cecea3e554ba61ab921035b431f6c51f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"511b6885ccb1e66f99ebb59cd8b9a77cecea3e554ba61ab921035b431f6c51f3","first_computed_at":"2026-05-18T04:05:25.480128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:25.480128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cPbnCSZJurvjoExQD/vo3bK2w7zZNPmbjzv+BZRopTJZdKg6m23xcL11p3vA9qUj1r/P2GmUu3sjosBalZcwCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:25.480691Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0335","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:926f346919c8d8ad8bb2a0ea59251ab3825ce74fe23baa8cfcdc1c5336e64389","sha256:ff7a4ecd3fc7b94e6c19db475b2c8e1d8c285d6fec7f09fdd189502788e9cf29"],"state_sha256":"95432d9af04d493c6346f651a2b5d6baf4e8cbdb444f11d1121364a87d262379"}