{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:T4P37PQX42ND6YYX7TIQENP7UY","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":"6f7ce953c32b18019fdf9c5f9fcc6375c843a6e422881a78b69887445660845d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-13T10:27:57Z","title_canon_sha256":"e103c86ca4a97454200aaf74b9a1f7c30f644dabe3130002166fede7527f4e7a"},"schema_version":"1.0","source":{"id":"1401.2772","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2772","created_at":"2026-05-18T03:02:32Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2772v1","created_at":"2026-05-18T03:02:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2772","created_at":"2026-05-18T03:02:32Z"},{"alias_kind":"pith_short_12","alias_value":"T4P37PQX42ND","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"T4P37PQX42ND6YYX","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"T4P37PQX","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:ad73338acc61cf1097f75ab261e5d6f729887a346bfd64c6458a6122a3c3f72e","target":"graph","created_at":"2026-05-18T03:02:32Z","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 prove that solutions to Cauchy problems related to the $p$-parabolic equations are stable with respect to the nonlinearity exponent $p$. More specifically, solutions with a fixed initial trace converge in an $L^q$-space to a solution of the limit problem as $p>2$ varies.","authors_text":"Mikko Parviainen, Teemu Lukkari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-13T10:27:57Z","title":"Stability of degenerate parabolic Cauchy problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2772","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:f1abd33b57cc30164a0f969782f41d345e4eb2935719e8fc0b9684dac55024a4","target":"record","created_at":"2026-05-18T03:02:32Z","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":"6f7ce953c32b18019fdf9c5f9fcc6375c843a6e422881a78b69887445660845d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-13T10:27:57Z","title_canon_sha256":"e103c86ca4a97454200aaf74b9a1f7c30f644dabe3130002166fede7527f4e7a"},"schema_version":"1.0","source":{"id":"1401.2772","kind":"arxiv","version":1}},"canonical_sha256":"9f1fbfbe17e69a3f6317fcd10235ffa602dc335f8e9e2653628fe97f2b120202","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f1fbfbe17e69a3f6317fcd10235ffa602dc335f8e9e2653628fe97f2b120202","first_computed_at":"2026-05-18T03:02:32.138752Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:32.138752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T0H1UPz/D/n/KI6f2DPVDbSc/Cmlk4motaQ3t+ZLYPhWOccLzWjxAbzZ70hDp0Wihkk1x/uXIPzdTIGtmAOUCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:32.139347Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.2772","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1abd33b57cc30164a0f969782f41d345e4eb2935719e8fc0b9684dac55024a4","sha256:ad73338acc61cf1097f75ab261e5d6f729887a346bfd64c6458a6122a3c3f72e"],"state_sha256":"5a3097aa95e56eab544ebc2f631c04bebf5acf77bcef20da67f96ad67b93bb53"}