{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:TKPAWID7WQJLD3OG3BDB7XFVIL","short_pith_number":"pith:TKPAWID7","schema_version":"1.0","canonical_sha256":"9a9e0b207fb412b1edc6d8461fdcb542c6669242f610773726d1cce343a647b8","source":{"kind":"arxiv","id":"1308.5100","version":1},"attestation_state":"computed","paper":{"title":"Stability results for second-order evolution equations with switching time-delay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Cristina Pignotti, Serge Nicaise","submitted_at":"2013-08-23T11:10:19Z","abstract_excerpt":"We consider second-order evolution equations in an abstract setting with intermittently delayed/ not-delayed damping. We give sufficient conditions for asymptotic and exponential stability, improving and generalising our previous results from [19]. In particular, under suitable conditions, we can consider unbounded damping operators. Some concrete examples are finally presented."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1308.5100","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-08-23T11:10:19Z","cross_cats_sorted":[],"title_canon_sha256":"b2c256eb84d9b737247e4874e19fa318265b462369ebc94c4d79705f66cb6df9","abstract_canon_sha256":"b71aa3a60ff66512cfb2fb2d601c1f9f61b3fbd543380efe8cbe94f8e3a999ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:59.255449Z","signature_b64":"W2pl9zIbqClH/gkL8z1dcbZzgzdidXRkcudkcpNfVXjhhnEC9+s9a98n7g1pvQdQ/yzWzemNstZNwGOhQ2eNAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a9e0b207fb412b1edc6d8461fdcb542c6669242f610773726d1cce343a647b8","last_reissued_at":"2026-05-18T01:47:59.254976Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:59.254976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability results for second-order evolution equations with switching time-delay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Cristina Pignotti, Serge Nicaise","submitted_at":"2013-08-23T11:10:19Z","abstract_excerpt":"We consider second-order evolution equations in an abstract setting with intermittently delayed/ not-delayed damping. We give sufficient conditions for asymptotic and exponential stability, improving and generalising our previous results from [19]. In particular, under suitable conditions, we can consider unbounded damping operators. Some concrete examples are finally presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5100","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1308.5100","created_at":"2026-05-18T01:47:59.255049+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.5100v1","created_at":"2026-05-18T01:47:59.255049+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5100","created_at":"2026-05-18T01:47:59.255049+00:00"},{"alias_kind":"pith_short_12","alias_value":"TKPAWID7WQJL","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"TKPAWID7WQJLD3OG","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"TKPAWID7","created_at":"2026-05-18T12:28:02.375192+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TKPAWID7WQJLD3OG3BDB7XFVIL","json":"https://pith.science/pith/TKPAWID7WQJLD3OG3BDB7XFVIL.json","graph_json":"https://pith.science/api/pith-number/TKPAWID7WQJLD3OG3BDB7XFVIL/graph.json","events_json":"https://pith.science/api/pith-number/TKPAWID7WQJLD3OG3BDB7XFVIL/events.json","paper":"https://pith.science/paper/TKPAWID7"},"agent_actions":{"view_html":"https://pith.science/pith/TKPAWID7WQJLD3OG3BDB7XFVIL","download_json":"https://pith.science/pith/TKPAWID7WQJLD3OG3BDB7XFVIL.json","view_paper":"https://pith.science/paper/TKPAWID7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.5100&json=true","fetch_graph":"https://pith.science/api/pith-number/TKPAWID7WQJLD3OG3BDB7XFVIL/graph.json","fetch_events":"https://pith.science/api/pith-number/TKPAWID7WQJLD3OG3BDB7XFVIL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TKPAWID7WQJLD3OG3BDB7XFVIL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TKPAWID7WQJLD3OG3BDB7XFVIL/action/storage_attestation","attest_author":"https://pith.science/pith/TKPAWID7WQJLD3OG3BDB7XFVIL/action/author_attestation","sign_citation":"https://pith.science/pith/TKPAWID7WQJLD3OG3BDB7XFVIL/action/citation_signature","submit_replication":"https://pith.science/pith/TKPAWID7WQJLD3OG3BDB7XFVIL/action/replication_record"}},"created_at":"2026-05-18T01:47:59.255049+00:00","updated_at":"2026-05-18T01:47:59.255049+00:00"}