{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:6S3QFTO7JLQ7C34EEEHMW4FR2Q","short_pith_number":"pith:6S3QFTO7","schema_version":"1.0","canonical_sha256":"f4b702cddf4ae1f16f84210ecb70b1d437cc0671b3f7ed421adf083b05b2ed7c","source":{"kind":"arxiv","id":"1503.08811","version":1},"attestation_state":"computed","paper":{"title":"A note on local center manifolds for differential equations with state-dependent delay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DS","authors_text":"Eugen Stumpf","submitted_at":"2015-03-30T19:41:12Z","abstract_excerpt":"In this note we consider local invariant manifolds of functional differential equations representing differential equations with state-dependent delay. Starting with a local center-stable and a local center-unstable manifold of the functional differential equation at a stationary point, we construct, by a straightforward application of the Implicit Mapping Theorem, a local center manifold."},"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":"1503.08811","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-03-30T19:41:12Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"933a9db8856d13a85662c8c9b448ad6c3454c4d68ed2364dad9dbdfe964a7d18","abstract_canon_sha256":"33e26c752eb7d8ba2574815e6e97a20b1dbdbd451b9015787ef4e2c08b6677fc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:00.884627Z","signature_b64":"ccy/qNqs22LsBx+aJueKdJMMZNa2EYEAQXlpsM67FsIJsAEJPsFE9rAmVq0mn/0HsDSG9GT7D0AyX9hHd1VhAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4b702cddf4ae1f16f84210ecb70b1d437cc0671b3f7ed421adf083b05b2ed7c","last_reissued_at":"2026-05-18T02:20:00.884024Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:00.884024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on local center manifolds for differential equations with state-dependent delay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DS","authors_text":"Eugen Stumpf","submitted_at":"2015-03-30T19:41:12Z","abstract_excerpt":"In this note we consider local invariant manifolds of functional differential equations representing differential equations with state-dependent delay. Starting with a local center-stable and a local center-unstable manifold of the functional differential equation at a stationary point, we construct, by a straightforward application of the Implicit Mapping Theorem, a local center manifold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.08811","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":"1503.08811","created_at":"2026-05-18T02:20:00.884109+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.08811v1","created_at":"2026-05-18T02:20:00.884109+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.08811","created_at":"2026-05-18T02:20:00.884109+00:00"},{"alias_kind":"pith_short_12","alias_value":"6S3QFTO7JLQ7","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6S3QFTO7JLQ7C34E","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6S3QFTO7","created_at":"2026-05-18T12:29:07.941421+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/6S3QFTO7JLQ7C34EEEHMW4FR2Q","json":"https://pith.science/pith/6S3QFTO7JLQ7C34EEEHMW4FR2Q.json","graph_json":"https://pith.science/api/pith-number/6S3QFTO7JLQ7C34EEEHMW4FR2Q/graph.json","events_json":"https://pith.science/api/pith-number/6S3QFTO7JLQ7C34EEEHMW4FR2Q/events.json","paper":"https://pith.science/paper/6S3QFTO7"},"agent_actions":{"view_html":"https://pith.science/pith/6S3QFTO7JLQ7C34EEEHMW4FR2Q","download_json":"https://pith.science/pith/6S3QFTO7JLQ7C34EEEHMW4FR2Q.json","view_paper":"https://pith.science/paper/6S3QFTO7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.08811&json=true","fetch_graph":"https://pith.science/api/pith-number/6S3QFTO7JLQ7C34EEEHMW4FR2Q/graph.json","fetch_events":"https://pith.science/api/pith-number/6S3QFTO7JLQ7C34EEEHMW4FR2Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6S3QFTO7JLQ7C34EEEHMW4FR2Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6S3QFTO7JLQ7C34EEEHMW4FR2Q/action/storage_attestation","attest_author":"https://pith.science/pith/6S3QFTO7JLQ7C34EEEHMW4FR2Q/action/author_attestation","sign_citation":"https://pith.science/pith/6S3QFTO7JLQ7C34EEEHMW4FR2Q/action/citation_signature","submit_replication":"https://pith.science/pith/6S3QFTO7JLQ7C34EEEHMW4FR2Q/action/replication_record"}},"created_at":"2026-05-18T02:20:00.884109+00:00","updated_at":"2026-05-18T02:20:00.884109+00:00"}