{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:3BFYJTWBNVQGJHSTDL2KTSJUNM","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":"5b0ccf16f0de9070242d817c97edc76c421970ebd8d09250ffdad2127f2e87fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-11-17T19:58:09Z","title_canon_sha256":"9a1c62e38fb9ac8548014bf4b0ee9a3cbe339305506fc760e946e774525b70a6"},"schema_version":"1.0","source":{"id":"0811.2783","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.2783","created_at":"2026-05-18T03:37:06Z"},{"alias_kind":"arxiv_version","alias_value":"0811.2783v3","created_at":"2026-05-18T03:37:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.2783","created_at":"2026-05-18T03:37:06Z"},{"alias_kind":"pith_short_12","alias_value":"3BFYJTWBNVQG","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"3BFYJTWBNVQGJHST","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"3BFYJTWB","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:d34689de0bebba3d99393098e1cbb3a5ac155e0ee85ce1d53a7396d6aa6bec88","target":"graph","created_at":"2026-05-18T03:37:06Z","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":"In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions, related to the Kelvin-Voigt damping. Global existence and asymptotic stability of solutions starting in a stable set are proved. Blow up for solutions of the problem with linear dynamic boundary conditions with initial data in the unstable set is also obtained.","authors_text":"Belkacem Said-Houari, St\\'ephane Gerbi (LAMA)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-11-17T19:58:09Z","title":"Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.2783","kind":"arxiv","version":3},"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":"sha256:694f5fa92b84b4ddf30d92ac49143df0f53b5e77b37c5966cfa68803ab2ad9d6","target":"record","created_at":"2026-05-18T03:37:06Z","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":"5b0ccf16f0de9070242d817c97edc76c421970ebd8d09250ffdad2127f2e87fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-11-17T19:58:09Z","title_canon_sha256":"9a1c62e38fb9ac8548014bf4b0ee9a3cbe339305506fc760e946e774525b70a6"},"schema_version":"1.0","source":{"id":"0811.2783","kind":"arxiv","version":3}},"canonical_sha256":"d84b84cec16d60649e531af4a9c9346b0859bb88203ba1ab9a4cd7c5c29e4c86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d84b84cec16d60649e531af4a9c9346b0859bb88203ba1ab9a4cd7c5c29e4c86","first_computed_at":"2026-05-18T03:37:06.014653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:06.014653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oH1O26/xWhociTRHZJ+tfNVjhTL2Zxy6vdpsI0RALUuqkXtEyLAK7Z9XBy3ky5NYqyM/4M5mrFmnjZwnfjEdCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:06.015518Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.2783","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:694f5fa92b84b4ddf30d92ac49143df0f53b5e77b37c5966cfa68803ab2ad9d6","sha256:d34689de0bebba3d99393098e1cbb3a5ac155e0ee85ce1d53a7396d6aa6bec88"],"state_sha256":"0f0d52258f6dacf26eec1259de4dc8a24d1737d13d5703511a67f46981740993"}