{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ANI7UXTR4PEFHVCRUI5NRBKQA6","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":"3296fb7272fc2efb0d90c06056323b9474ea4046d49c5c4931862a486fade453","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-06-16T16:38:51Z","title_canon_sha256":"0af5ff0cd5bfe21422ae30cd6d8e291d710e2061756dddf03c6b42b5ee592cdd"},"schema_version":"1.0","source":{"id":"1806.06264","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06264","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06264v1","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06264","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"pith_short_12","alias_value":"ANI7UXTR4PEF","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"ANI7UXTR4PEFHVCR","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"ANI7UXTR","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:f4a27d397d271f0e25614ca62ebea08eaaee26e2541dcafb020f999ace73b935","target":"graph","created_at":"2026-05-18T00:13:03Z","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 consider a quasilinear heat system in the presence of an integral term and establish a general and optimal decay result from which improves and generalizes several stability results in the literature.","authors_text":"Abderrahmane Youkana, Aissa Guesmia, Salim A. Messaoudi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-06-16T16:38:51Z","title":"A general decay and optimal decay result in a heat system with a viscoelastic term"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06264","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:ee397dd773af3c8a9f757ad0f42552ead0b035da0db6557391707584fc46c7ce","target":"record","created_at":"2026-05-18T00:13:03Z","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":"3296fb7272fc2efb0d90c06056323b9474ea4046d49c5c4931862a486fade453","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-06-16T16:38:51Z","title_canon_sha256":"0af5ff0cd5bfe21422ae30cd6d8e291d710e2061756dddf03c6b42b5ee592cdd"},"schema_version":"1.0","source":{"id":"1806.06264","kind":"arxiv","version":1}},"canonical_sha256":"0351fa5e71e3c853d451a23ad88550079251690a70f718c2279431125a13a330","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0351fa5e71e3c853d451a23ad88550079251690a70f718c2279431125a13a330","first_computed_at":"2026-05-18T00:13:03.091551Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:03.091551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IgaUeqUym+X4Wp+aFlPgWHuGIS7Fy/SMLqPefQm1LjRlgZGjLMYskDIYMmovMCAY+rLkkz3EwjE9DTeu9vClDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:03.092305Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.06264","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee397dd773af3c8a9f757ad0f42552ead0b035da0db6557391707584fc46c7ce","sha256:f4a27d397d271f0e25614ca62ebea08eaaee26e2541dcafb020f999ace73b935"],"state_sha256":"18b45dafc41637ff342153d6a3fbc3d9095b6eb2b8b140c0bba84df897808a17"}