{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ENSGJBQVZSFTOJS4DITZC25KV6","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":"132000d825d02d9544461b67d8ea9c401a6e6e0ef875dee48a358bd108bcf898","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-14T12:06:36Z","title_canon_sha256":"b3ba67dae3cb4e38c8d9981997ee8d7d393ab1141fc19a39408cb5a05ad14af8"},"schema_version":"1.0","source":{"id":"1103.2643","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.2643","created_at":"2026-05-18T02:22:19Z"},{"alias_kind":"arxiv_version","alias_value":"1103.2643v1","created_at":"2026-05-18T02:22:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.2643","created_at":"2026-05-18T02:22:19Z"},{"alias_kind":"pith_short_12","alias_value":"ENSGJBQVZSFT","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"ENSGJBQVZSFTOJS4","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"ENSGJBQV","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:438f8e3c7a96409c107bee152f74b3ed392acd475c0328bf45b8cf5d99de876a","target":"graph","created_at":"2026-05-18T02:22:19Z","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":"Some higher-order quasilinear parabolic, hyperbolic, and nonlinear dispersion equations are shown to admit various blow-up, extinction, and travelling wave solutions, which reduce to variational problems admitting countable families of compactly supported solutions.","authors_text":"E. Mitidieri, S.I. Pohozaev, V.A. Galaktionov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-14T12:06:36Z","title":"Variational Approach to Complicated Similarity Solutions of Higher-Order Nonlinear PDEs. II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.2643","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":"sha256:5d3076ededb6502c8e74e4248ee5444fbf1ce49145706c0686e5b54180b951df","target":"record","created_at":"2026-05-18T02:22:19Z","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":"132000d825d02d9544461b67d8ea9c401a6e6e0ef875dee48a358bd108bcf898","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-14T12:06:36Z","title_canon_sha256":"b3ba67dae3cb4e38c8d9981997ee8d7d393ab1141fc19a39408cb5a05ad14af8"},"schema_version":"1.0","source":{"id":"1103.2643","kind":"arxiv","version":1}},"canonical_sha256":"2364648615cc8b37265c1a27916baaaf9ebbce8ccfbdfa8486dfe782020e11f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2364648615cc8b37265c1a27916baaaf9ebbce8ccfbdfa8486dfe782020e11f1","first_computed_at":"2026-05-18T02:22:19.466405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:19.466405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7CqlCu/f9YWCgzb96ejbd7i33g05L4dAIZKai0JSCIO8bzToPJhGjmQ404lWGle/4NVdThShKrozGC/N93tsBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:19.467065Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.2643","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d3076ededb6502c8e74e4248ee5444fbf1ce49145706c0686e5b54180b951df","sha256:438f8e3c7a96409c107bee152f74b3ed392acd475c0328bf45b8cf5d99de876a"],"state_sha256":"c64b152fd473176d5a40c41ec6dc0236b2e00eebddb2e41912ceca05d7b2c76c"}