{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DUOUUNEP7GRIWACVA2N3RTJEDS","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":"c406f37625a11d35784d4633d0356b3719fcb521560d77927bf2578ab9126d90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-07-02T13:25:15Z","title_canon_sha256":"9c4df4b1acf3c8daf1bd53a014bf2eee9b913a1bfb5666609f535b436f9fcd84"},"schema_version":"1.0","source":{"id":"1807.00650","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.00650","created_at":"2026-05-18T00:11:51Z"},{"alias_kind":"arxiv_version","alias_value":"1807.00650v1","created_at":"2026-05-18T00:11:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.00650","created_at":"2026-05-18T00:11:51Z"},{"alias_kind":"pith_short_12","alias_value":"DUOUUNEP7GRI","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DUOUUNEP7GRIWACV","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DUOUUNEP","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:ab776baaccc1b3f3c98a0a9922fb63ca234f34da35fbf2070ed238482da7a030","target":"graph","created_at":"2026-05-18T00:11:51Z","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":"This article focuses on a quasilinear wave equation of $p$-Laplacian type: \\[ u_{tt} - \\Delta_p u -\\Delta u_t = f(u) \\] in a bounded domain $\\Omega \\subset \\mathbb{R}^3$ with a sufficiently smooth boundary $\\Gamma=\\partial \\Omega$ subject to a generalized Robin boundary condition featuring boundary damping and a nonlinear source term. The operator $\\Delta_p$, $2<p<3$, denotes the classical $p$-Laplacian. The interior and boundary terms $f(u)$, $h(u)$ are sources that are allowed to have a supercritical exponent, in the sense that their associated Nemytskii operators are not locally Lipschitz f","authors_text":"Mohammad A. Rammaha, Nicholas J. Kass","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-07-02T13:25:15Z","title":"On wave equations of the $p$-Laplacian type with supercritical nonlinearities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.00650","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:dbf7f79666bcd6f649c2d610a02231df9fe30026b94b94e51f04eaefb4de0f82","target":"record","created_at":"2026-05-18T00:11:51Z","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":"c406f37625a11d35784d4633d0356b3719fcb521560d77927bf2578ab9126d90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-07-02T13:25:15Z","title_canon_sha256":"9c4df4b1acf3c8daf1bd53a014bf2eee9b913a1bfb5666609f535b436f9fcd84"},"schema_version":"1.0","source":{"id":"1807.00650","kind":"arxiv","version":1}},"canonical_sha256":"1d1d4a348ff9a28b0055069bb8cd241ca092e5318129474b45549296cced406c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d1d4a348ff9a28b0055069bb8cd241ca092e5318129474b45549296cced406c","first_computed_at":"2026-05-18T00:11:51.893112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:51.893112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aCV1ltpXIhEo54/mTUdTgmt0BgHm+1thugM/iwf7GTrAIBBaJnSfo2vWb1cIMD9Jlb8/te+upTmEph+af8cwBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:51.893726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.00650","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbf7f79666bcd6f649c2d610a02231df9fe30026b94b94e51f04eaefb4de0f82","sha256:ab776baaccc1b3f3c98a0a9922fb63ca234f34da35fbf2070ed238482da7a030"],"state_sha256":"a228c6af82230c1045acadef72fe594cd517bde971deea0131f560ef623230a4"}