{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XLBZQVMTNQCODI3IT6HPHIIIXD","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":"a9ea7d22480f4a5afa34c21d55a9abd57e2bfef20fe259f64c039f2089d9e378","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-08-22T14:19:45Z","title_canon_sha256":"505440d78995d6b4487e7299da2358935e1ce236cb655dfdab8cb795b6ed13da"},"schema_version":"1.0","source":{"id":"1108.4327","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4327","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4327v2","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4327","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"pith_short_12","alias_value":"XLBZQVMTNQCO","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XLBZQVMTNQCODI3I","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XLBZQVMT","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:d3a5d80d9369cdcb7432824cefe07e4b53976d708ea9dc24f6aa7791a38d7018","target":"graph","created_at":"2026-05-18T03:40:14Z","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 study the asymptotic stability of a dissipative evolution in a Hilbert space subject to intermittent damping. We observe that, even if the intermittence satisfies a persistent excitation condition, if the Hilbert space is infinite-dimensional then the system needs not being asymptotically stable (not even in the weak sense). Exponential stability is recovered under a generalized observability inequality, allowing for time-domains that are not intervals. Weak asymptotic stability is obtained under a similarly generalized unique continuation principle. Finally, strong asymptotic stability is ","authors_text":"CMAP), Falk Hante (IWR), Inria Lorraine / Iecn / Mmas), Mario Sigalotti (INRIA Saclay - Ile de France / CMAP Centre de Math\\'ematiques Appliqu\\'ees, Marius Tucsnak (IECN","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-08-22T14:19:45Z","title":"On conditions for asymptotic stability of dissipative infinite-dimensional systems with intermittent damping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4327","kind":"arxiv","version":2},"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":"sha256:471a0a946444d9d67e4981abd8af119e1b96e7ce171331b12dc1edea35d61724","target":"record","created_at":"2026-05-18T03:40:14Z","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":"a9ea7d22480f4a5afa34c21d55a9abd57e2bfef20fe259f64c039f2089d9e378","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-08-22T14:19:45Z","title_canon_sha256":"505440d78995d6b4487e7299da2358935e1ce236cb655dfdab8cb795b6ed13da"},"schema_version":"1.0","source":{"id":"1108.4327","kind":"arxiv","version":2}},"canonical_sha256":"bac39855936c04e1a3689f8ef3a108b8eb33f85ddb291e0c151cd2f99eee7eb2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bac39855936c04e1a3689f8ef3a108b8eb33f85ddb291e0c151cd2f99eee7eb2","first_computed_at":"2026-05-18T03:40:14.458663Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:14.458663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vi7QZAdpYTfJY+oKTmzRRA7JMfzZhexukWSpi4KwnfavpnZOOY9s+oJzaS03vrGtyr1D1Qp4APur6HeXDGE/Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:14.459270Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4327","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:471a0a946444d9d67e4981abd8af119e1b96e7ce171331b12dc1edea35d61724","sha256:d3a5d80d9369cdcb7432824cefe07e4b53976d708ea9dc24f6aa7791a38d7018"],"state_sha256":"0d6512c389688a98821743c71953251f8df1cbbc5c632beff15d9ac9248f9cd4"}