{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CANU3ZZIU5B2RCZ26SY2J6COFD","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":"10162f831edcece2a9e6c0d56c5e4ee692810ccc26c55531178893fbc2a9ddb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-06T02:18:40Z","title_canon_sha256":"09263b6c387f6c828bdfc33bd6ae844e09da5ce3e737280251b6372de0d2ce35"},"schema_version":"1.0","source":{"id":"1705.02432","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02432","created_at":"2026-05-18T00:44:56Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02432v1","created_at":"2026-05-18T00:44:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02432","created_at":"2026-05-18T00:44:56Z"},{"alias_kind":"pith_short_12","alias_value":"CANU3ZZIU5B2","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CANU3ZZIU5B2RCZ2","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CANU3ZZI","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:c361c83e64beb9874d5c57ecb47537ed9d58c3d08f641da9f51ccc5e54aaed27","target":"graph","created_at":"2026-05-18T00:44:56Z","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 this paper, we prove that Wright's equation $y'(t) = - \\alpha y(t-1) \\{1 + y(t)\\}$ has a unique slowly oscillating periodic solution (SOPS) for all parameter values $\\alpha \\in [ 1.9,6.0]$, up to time translation. Our proof is based on a same strategy employed earlier by Xie [27]; show that every SOPS is asymptotically stable. We first introduce a branch and bound algorithm to control all SOPS using bounding functions at all parameter values $\\alpha \\in [ 1.9,6.0]$. Once the bounding functions are constructed, we then control the Floquet multipliers of all possible SOPS by solving rigorousl","authors_text":"Jean-Philippe Lessard, Jonathan Jaquette, Konstantin Mischaikow","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-06T02:18:40Z","title":"Stability and Uniqueness of Slowly Oscillating Periodic Solutions to Wright's Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02432","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":"sha256:04bf288b42bda07763a250569b2f88ff8d19048314b0e8eaccca1633bfe30101","target":"record","created_at":"2026-05-18T00:44:56Z","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":"10162f831edcece2a9e6c0d56c5e4ee692810ccc26c55531178893fbc2a9ddb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-06T02:18:40Z","title_canon_sha256":"09263b6c387f6c828bdfc33bd6ae844e09da5ce3e737280251b6372de0d2ce35"},"schema_version":"1.0","source":{"id":"1705.02432","kind":"arxiv","version":1}},"canonical_sha256":"101b4de728a743a88b3af4b1a4f84e28e0c403529a6ea2e94be99df7779d7170","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"101b4de728a743a88b3af4b1a4f84e28e0c403529a6ea2e94be99df7779d7170","first_computed_at":"2026-05-18T00:44:56.557048Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:56.557048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FKxQJbCXYM04q+SCENS3GhbSgyoq2AVusYRmyJSsc+iHQqv1AjNbfDoPbrjE5v8Eg/FU3LHZYhEsH7J1vH5pAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:56.557693Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.02432","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04bf288b42bda07763a250569b2f88ff8d19048314b0e8eaccca1633bfe30101","sha256:c361c83e64beb9874d5c57ecb47537ed9d58c3d08f641da9f51ccc5e54aaed27"],"state_sha256":"b041d51c94601ff4a576630a1562a14fe960b906f1c27378aaeade25350b8286"}