{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MNEBALY55S5GUMAXYTYTKYKSXT","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":"a7b7bdb1bc38e6082cf409f4caa394b2cdc60dfe2e514bc63d80968c931a522b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-27T15:41:14Z","title_canon_sha256":"cd55ef1015aecf930598f46e0690e2a1c9fde0c436dc70dca2a94a298bb4bbae"},"schema_version":"1.0","source":{"id":"1812.11863","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.11863","created_at":"2026-05-17T23:57:10Z"},{"alias_kind":"arxiv_version","alias_value":"1812.11863v1","created_at":"2026-05-17T23:57:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.11863","created_at":"2026-05-17T23:57:10Z"},{"alias_kind":"pith_short_12","alias_value":"MNEBALY55S5G","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MNEBALY55S5GUMAX","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MNEBALY5","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:6c9f41886648d14f2a880a277393176412cbbeb0573e080c74ecaf83b98a0791","target":"graph","created_at":"2026-05-17T23:57:10Z","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":"The three concepts of exact, null and approximate controllabilities are analyzed from the exterior of the Moore--Gibson--Thompson equation associated with the fractional Laplace operator subject to the nonhomogeneous Dirichlet type exterior condition.","authors_text":"Carlos Lizama, M. Warma, Sebastian Zamorano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-27T15:41:14Z","title":"Exterior controllability properties of a nonlocal Moore--Gibson--Thompson equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.11863","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":"sha256:960699b8c19ec642c17cc94431776fa3c5c8a038f367fa215baf88368db7a485","target":"record","created_at":"2026-05-17T23:57:10Z","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":"a7b7bdb1bc38e6082cf409f4caa394b2cdc60dfe2e514bc63d80968c931a522b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-27T15:41:14Z","title_canon_sha256":"cd55ef1015aecf930598f46e0690e2a1c9fde0c436dc70dca2a94a298bb4bbae"},"schema_version":"1.0","source":{"id":"1812.11863","kind":"arxiv","version":1}},"canonical_sha256":"6348102f1decba6a3017c4f1356152bcd71081f57bd9c4e2edfe81b9157a19b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6348102f1decba6a3017c4f1356152bcd71081f57bd9c4e2edfe81b9157a19b9","first_computed_at":"2026-05-17T23:57:10.929671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:10.929671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yiyd4rhIchTFOP8FeXh/7Uq98MuX/K/PvzEN6WagYoNEr1/Nz1R0vXvx8n+1bTShXuVHrRGxDRk1ZOSYw+DyBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:10.930172Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.11863","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:960699b8c19ec642c17cc94431776fa3c5c8a038f367fa215baf88368db7a485","sha256:6c9f41886648d14f2a880a277393176412cbbeb0573e080c74ecaf83b98a0791"],"state_sha256":"2864a25fd4d68bd8b8190388c082563521361f587f26fa504542b995be68260d"}