{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6BQ2Q27MOR3P7WUBTTHEWDDZAZ","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":"fcecba9dce3b8507275d9e98ddebde6a649c8f64688e2f0cf66a9071bfb4d973","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-11-03T20:45:43Z","title_canon_sha256":"c65e46a0163b4aa14ca5c541276dbe60c588105f7e8831ba4de08542a6a386b3"},"schema_version":"1.0","source":{"id":"1511.01078","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.01078","created_at":"2026-05-18T01:27:55Z"},{"alias_kind":"arxiv_version","alias_value":"1511.01078v1","created_at":"2026-05-18T01:27:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.01078","created_at":"2026-05-18T01:27:55Z"},{"alias_kind":"pith_short_12","alias_value":"6BQ2Q27MOR3P","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6BQ2Q27MOR3P7WUB","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6BQ2Q27M","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:84040ae8e855a66a59debb64f4482eae123132f2dc7936c7e19a57a0253645b7","target":"graph","created_at":"2026-05-18T01:27:55Z","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 the present article we study the stabilization of first-order linear integro-differential hyperbolic equations. For such equations we prove that the stabilization in finite time is equivalent to the exact controllability property. The proof relies on a Fredholm transformation that maps the original system into a finite-time stable target system. The controllability assumption is used to prove the invertibility of such a transformation. Finally, using the method of moments, we show in a particular case that the controllability is reduced to the criterion of Fattorini.","authors_text":"Guillaume Olive (LJLL), IUF), Jean-Michel Coron (LJLL, Long Hu (LJLL)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-11-03T20:45:43Z","title":"Stabilization and controllability of first-order integro-differential hyperbolic equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.01078","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:b0f50709d2f059d5cabf27eb7653bf8e6b3c9305cfc2bcf27a295cf1f69b77b1","target":"record","created_at":"2026-05-18T01:27:55Z","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":"fcecba9dce3b8507275d9e98ddebde6a649c8f64688e2f0cf66a9071bfb4d973","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-11-03T20:45:43Z","title_canon_sha256":"c65e46a0163b4aa14ca5c541276dbe60c588105f7e8831ba4de08542a6a386b3"},"schema_version":"1.0","source":{"id":"1511.01078","kind":"arxiv","version":1}},"canonical_sha256":"f061a86bec7476ffda819cce4b0c790646ce15774497ec1cbab5186517c074b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f061a86bec7476ffda819cce4b0c790646ce15774497ec1cbab5186517c074b1","first_computed_at":"2026-05-18T01:27:55.212765Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:55.212765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G48Z20CEOJxxo7YYqoB8zfBQ7yV5FA4aTo1zT7U/L7KWweZmozPqdNBB3HyH38NBVX+OlYY2C3VQs8lJU9IXDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:55.213521Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.01078","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0f50709d2f059d5cabf27eb7653bf8e6b3c9305cfc2bcf27a295cf1f69b77b1","sha256:84040ae8e855a66a59debb64f4482eae123132f2dc7936c7e19a57a0253645b7"],"state_sha256":"0a699c3f0de95f577478180e3b66657964f5dc02ee68a1fa88a64affc4fbc54f"}