{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:PJ6NKCC6V3VNB23VO6SIXHFJUJ","short_pith_number":"pith:PJ6NKCC6","schema_version":"1.0","canonical_sha256":"7a7cd5085eaeead0eb7577a48b9ca9a250727068d72d5778430775bb4de36e3f","source":{"kind":"arxiv","id":"0802.3614","version":1},"attestation_state":"computed","paper":{"title":"Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"B. Sautois, H.G.E. Meijer, W. Govaerts, Yu.A. Kuznetsov","submitted_at":"2008-02-25T12:44:02Z","abstract_excerpt":"The paper provides full algorithmic details on switching to the continuation of all possible codim 1 cycle bifurcations from generic codim 2 equilibrium bifurcation points in n-dimensional ODEs. We discuss the implementation and the performance of the algorithm in several examples, including an extended Lorenz-84 model and a laser system."},"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":"0802.3614","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-02-25T12:44:02Z","cross_cats_sorted":[],"title_canon_sha256":"86e145f630b264cf947c2d687414655613915734e85fecebe71b0bed699ee792","abstract_canon_sha256":"2d1efb1e7bbdc67ccadd8b52b4510faf09b10128414b5cad8f7ed183222cea89"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:09:33.808723Z","signature_b64":"VDtaDUslFLcqIyfPQGnJLZhH8k/OvULPSDQ0CTHdjTeR/lRI/ogXFFKbbINhBk6fu48bcigYG6XeJ/3vds/uCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a7cd5085eaeead0eb7577a48b9ca9a250727068d72d5778430775bb4de36e3f","last_reissued_at":"2026-07-04T17:09:33.808360Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:09:33.808360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"B. Sautois, H.G.E. Meijer, W. Govaerts, Yu.A. Kuznetsov","submitted_at":"2008-02-25T12:44:02Z","abstract_excerpt":"The paper provides full algorithmic details on switching to the continuation of all possible codim 1 cycle bifurcations from generic codim 2 equilibrium bifurcation points in n-dimensional ODEs. We discuss the implementation and the performance of the algorithm in several examples, including an extended Lorenz-84 model and a laser system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.3614","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0802.3614/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"0802.3614","created_at":"2026-07-04T17:09:33.808418+00:00"},{"alias_kind":"arxiv_version","alias_value":"0802.3614v1","created_at":"2026-07-04T17:09:33.808418+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.3614","created_at":"2026-07-04T17:09:33.808418+00:00"},{"alias_kind":"pith_short_12","alias_value":"PJ6NKCC6V3VN","created_at":"2026-07-04T17:09:33.808418+00:00"},{"alias_kind":"pith_short_16","alias_value":"PJ6NKCC6V3VNB23V","created_at":"2026-07-04T17:09:33.808418+00:00"},{"alias_kind":"pith_short_8","alias_value":"PJ6NKCC6","created_at":"2026-07-04T17:09:33.808418+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/PJ6NKCC6V3VNB23VO6SIXHFJUJ","json":"https://pith.science/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ.json","graph_json":"https://pith.science/api/pith-number/PJ6NKCC6V3VNB23VO6SIXHFJUJ/graph.json","events_json":"https://pith.science/api/pith-number/PJ6NKCC6V3VNB23VO6SIXHFJUJ/events.json","paper":"https://pith.science/paper/PJ6NKCC6"},"agent_actions":{"view_html":"https://pith.science/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ","download_json":"https://pith.science/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ.json","view_paper":"https://pith.science/paper/PJ6NKCC6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0802.3614&json=true","fetch_graph":"https://pith.science/api/pith-number/PJ6NKCC6V3VNB23VO6SIXHFJUJ/graph.json","fetch_events":"https://pith.science/api/pith-number/PJ6NKCC6V3VNB23VO6SIXHFJUJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ/action/storage_attestation","attest_author":"https://pith.science/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ/action/author_attestation","sign_citation":"https://pith.science/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ/action/citation_signature","submit_replication":"https://pith.science/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ/action/replication_record"}},"created_at":"2026-07-04T17:09:33.808418+00:00","updated_at":"2026-07-04T17:09:33.808418+00:00"}