{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:OHYY56VPTWRIS54EYH56R5G4PG","short_pith_number":"pith:OHYY56VP","schema_version":"1.0","canonical_sha256":"71f18efaaf9da2897784c1fbe8f4dc798b4666ae2172c76d0ed3922cdb592182","source":{"kind":"arxiv","id":"1411.6060","version":2},"attestation_state":"computed","paper":{"title":"Periodic Solutions of a Singularly Perturbed Delay Differential Equation With Two State-Dependent Delays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"A.R. Humphries, D.A. Bernucci, M. Snarski, N. Homayounfar, R. Calleja","submitted_at":"2014-11-22T01:38:01Z","abstract_excerpt":"Periodic orbits and associated bifurcations of singularly perturbed state-dependent delay differential equations (DDEs) are studied when the profiles of the periodic orbits contain jump discontinuities in the singular limit. A definition of singular solution is introduced which is based on a continuous parametrisation of the possibly discontinuous limiting solution. This reduces the construction of the limiting profiles to an algebraic problem. A model two state-dependent delay differential equation is studied in detail and periodic singular solutions are constructed with one and two local max"},"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":"1411.6060","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-11-22T01:38:01Z","cross_cats_sorted":[],"title_canon_sha256":"4a857af01e8e6b1e647b723eac032c882b3bdfb10867be043ece5f4e427bd095","abstract_canon_sha256":"c3f01b78c552e66d196e852411d35b2bdce27258cf47314ce087359ac9495b5b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:23.445188Z","signature_b64":"YhQn251jfBQoejpOkw37S4htNgzPxRZqmCNhDVnOlQZCqn2pUsQOqvTcSP/NQRJlI6hy5vm3KGFH2dFyde0XAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71f18efaaf9da2897784c1fbe8f4dc798b4666ae2172c76d0ed3922cdb592182","last_reissued_at":"2026-05-18T00:43:23.444481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:23.444481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Periodic Solutions of a Singularly Perturbed Delay Differential Equation With Two State-Dependent Delays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"A.R. Humphries, D.A. Bernucci, M. Snarski, N. Homayounfar, R. Calleja","submitted_at":"2014-11-22T01:38:01Z","abstract_excerpt":"Periodic orbits and associated bifurcations of singularly perturbed state-dependent delay differential equations (DDEs) are studied when the profiles of the periodic orbits contain jump discontinuities in the singular limit. A definition of singular solution is introduced which is based on a continuous parametrisation of the possibly discontinuous limiting solution. This reduces the construction of the limiting profiles to an algebraic problem. A model two state-dependent delay differential equation is studied in detail and periodic singular solutions are constructed with one and two local max"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6060","kind":"arxiv","version":2},"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":"1411.6060","created_at":"2026-05-18T00:43:23.444608+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.6060v2","created_at":"2026-05-18T00:43:23.444608+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6060","created_at":"2026-05-18T00:43:23.444608+00:00"},{"alias_kind":"pith_short_12","alias_value":"OHYY56VPTWRI","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"OHYY56VPTWRIS54E","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"OHYY56VP","created_at":"2026-05-18T12:28:41.024544+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/OHYY56VPTWRIS54EYH56R5G4PG","json":"https://pith.science/pith/OHYY56VPTWRIS54EYH56R5G4PG.json","graph_json":"https://pith.science/api/pith-number/OHYY56VPTWRIS54EYH56R5G4PG/graph.json","events_json":"https://pith.science/api/pith-number/OHYY56VPTWRIS54EYH56R5G4PG/events.json","paper":"https://pith.science/paper/OHYY56VP"},"agent_actions":{"view_html":"https://pith.science/pith/OHYY56VPTWRIS54EYH56R5G4PG","download_json":"https://pith.science/pith/OHYY56VPTWRIS54EYH56R5G4PG.json","view_paper":"https://pith.science/paper/OHYY56VP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.6060&json=true","fetch_graph":"https://pith.science/api/pith-number/OHYY56VPTWRIS54EYH56R5G4PG/graph.json","fetch_events":"https://pith.science/api/pith-number/OHYY56VPTWRIS54EYH56R5G4PG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OHYY56VPTWRIS54EYH56R5G4PG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OHYY56VPTWRIS54EYH56R5G4PG/action/storage_attestation","attest_author":"https://pith.science/pith/OHYY56VPTWRIS54EYH56R5G4PG/action/author_attestation","sign_citation":"https://pith.science/pith/OHYY56VPTWRIS54EYH56R5G4PG/action/citation_signature","submit_replication":"https://pith.science/pith/OHYY56VPTWRIS54EYH56R5G4PG/action/replication_record"}},"created_at":"2026-05-18T00:43:23.444608+00:00","updated_at":"2026-05-18T00:43:23.444608+00:00"}