{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FEUICGGDBFPYJ4RE72WSQ3RNBS","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":"b5c7b5dc305b67089dfb7223cb72ae5b21b1a9fe4cf3580fb7d3256f51659b32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-11T11:42:35Z","title_canon_sha256":"eb83763423f5867404a073260ef314c61d2e57babc98d703ac52bc11d11fe513"},"schema_version":"1.0","source":{"id":"1604.02897","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02897","created_at":"2026-05-18T01:17:21Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02897v1","created_at":"2026-05-18T01:17:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02897","created_at":"2026-05-18T01:17:21Z"},{"alias_kind":"pith_short_12","alias_value":"FEUICGGDBFPY","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FEUICGGDBFPYJ4RE","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FEUICGGD","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:c7e70e50a72376e84bd9585189129b5e93acc8d1098ab5469f4a39ed8bb9b376","target":"graph","created_at":"2026-05-18T01:17:21Z","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 study nonlinear parabolic PDEs with Orlicz-type growth conditions. The main result gives the existence of a unique solution to the obstacle problem related to these equations. To achieve this we show the boundedness of weak solutions and that a uniformly bounded sequence of weak supersolutions converges to a weak supersolution. Moreover, we prove that if the obstacle is continuous, so is the solution.","authors_text":"Casimir Lindfors","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-11T11:42:35Z","title":"Obstacle problem for a class of parabolic equations of generalized $p$-Laplacian type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02897","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":"sha256:54cb06d3a8aeda2ffc0900d4487d6cbe7fb40896c6db43020335d9dfb8d89cdd","target":"record","created_at":"2026-05-18T01:17:21Z","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":"b5c7b5dc305b67089dfb7223cb72ae5b21b1a9fe4cf3580fb7d3256f51659b32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-11T11:42:35Z","title_canon_sha256":"eb83763423f5867404a073260ef314c61d2e57babc98d703ac52bc11d11fe513"},"schema_version":"1.0","source":{"id":"1604.02897","kind":"arxiv","version":1}},"canonical_sha256":"29288118c3095f84f224fead286e2d0ca0b97d66c8cfa0cafd3eac8ce0296f23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29288118c3095f84f224fead286e2d0ca0b97d66c8cfa0cafd3eac8ce0296f23","first_computed_at":"2026-05-18T01:17:21.907972Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:21.907972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L/f7KBpHNqSM+4O6r9Uiskb/VRU6EPEJImSy90gAlQijFZNr64kUGqoE6QmY0OQgm1uJ0z9K1aDyNE3tkvAKBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:21.908366Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02897","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54cb06d3a8aeda2ffc0900d4487d6cbe7fb40896c6db43020335d9dfb8d89cdd","sha256:c7e70e50a72376e84bd9585189129b5e93acc8d1098ab5469f4a39ed8bb9b376"],"state_sha256":"7717864bfb3f58da4f3f078c0ec87aa55348a07ed9dc39502eccaf9d4b380680"}