{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VEVHG56E4SOMARVQJRTUIQUFD4","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":"a58b1b0cb489f0ac409bf0147c3423604c8ed7ac34b3d8d87e82844d1ad949af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-10-18T09:30:33Z","title_canon_sha256":"e59981779687c5628d8da0dcc15c7211ab2e291ef7da1bfea835d7ba787745e8"},"schema_version":"1.0","source":{"id":"1210.5063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5063","created_at":"2026-05-18T03:42:54Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5063v1","created_at":"2026-05-18T03:42:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5063","created_at":"2026-05-18T03:42:54Z"},{"alias_kind":"pith_short_12","alias_value":"VEVHG56E4SOM","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VEVHG56E4SOMARVQ","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VEVHG56E","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:5d2a258af870b0ede2d61ae29450a03531ffd60c396cf4baf82c693233fd85f2","target":"graph","created_at":"2026-05-18T03:42:54Z","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":"It is shows that some aspects of classic KPP-problem (1937) can be extended to some fourth and sixth-order quasilinear parabolic equations.","authors_text":"Victor A. Galaktionov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-10-18T09:30:33Z","title":"Towards the KPP-Problem and log t-Front shift for Higher-Order Nonlinear PDEs II. Quasilinear Bi- and Tri-Harmonic Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5063","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":"sha256:8524a2e2bbddd695c677b02cf92a9a035fbb8932c35d5407c45b8c921d53bee0","target":"record","created_at":"2026-05-18T03:42:54Z","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":"a58b1b0cb489f0ac409bf0147c3423604c8ed7ac34b3d8d87e82844d1ad949af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-10-18T09:30:33Z","title_canon_sha256":"e59981779687c5628d8da0dcc15c7211ab2e291ef7da1bfea835d7ba787745e8"},"schema_version":"1.0","source":{"id":"1210.5063","kind":"arxiv","version":1}},"canonical_sha256":"a92a7377c4e49cc046b04c674442851f08d9b5561d9554b1e50395139561435b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a92a7377c4e49cc046b04c674442851f08d9b5561d9554b1e50395139561435b","first_computed_at":"2026-05-18T03:42:54.397385Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:54.397385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zFmAjEU4jlGFXM7ST53UpFGa5J0SXZ5pn4foOwi/RmnH1xBkcG86qhZOzERGrOEnWz04dcMhSp9AxCTCZW4dBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:54.398079Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.5063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8524a2e2bbddd695c677b02cf92a9a035fbb8932c35d5407c45b8c921d53bee0","sha256:5d2a258af870b0ede2d61ae29450a03531ffd60c396cf4baf82c693233fd85f2"],"state_sha256":"f2952a42e2edda378c5f126bca5b3cc132b744918623ed4745af04b9ed6a9796"}