{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:PJ6NKCC6V3VNB23VO6SIXHFJUJ","short_pith_number":"pith:PJ6NKCC6","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"},"canonical_sha256":"7a7cd5085eaeead0eb7577a48b9ca9a250727068d72d5778430775bb4de36e3f","source":{"kind":"arxiv","id":"0802.3614","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.3614","created_at":"2026-07-04T17:09:33Z"},{"alias_kind":"arxiv_version","alias_value":"0802.3614v1","created_at":"2026-07-04T17:09:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.3614","created_at":"2026-07-04T17:09:33Z"},{"alias_kind":"pith_short_12","alias_value":"PJ6NKCC6V3VN","created_at":"2026-07-04T17:09:33Z"},{"alias_kind":"pith_short_16","alias_value":"PJ6NKCC6V3VNB23V","created_at":"2026-07-04T17:09:33Z"},{"alias_kind":"pith_short_8","alias_value":"PJ6NKCC6","created_at":"2026-07-04T17:09:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:PJ6NKCC6V3VNB23VO6SIXHFJUJ","target":"record","payload":{"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"},"canonical_sha256":"7a7cd5085eaeead0eb7577a48b9ca9a250727068d72d5778430775bb4de36e3f","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"},"source_kind":"arxiv","source_id":"0802.3614","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:09:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KNy0BkUHctF6raQZsLA6F2htcWhlOpitaTH+HX54SCkJsXM5rcucXN4Ji8/eLhJvwwMydLWOUySoSyllE4pwBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T20:54:27.792551Z"},"content_sha256":"3095214ad461ea1f40ab50ad42391ebfcf4943f07596467ff3594a568ccc6302","schema_version":"1.0","event_id":"sha256:3095214ad461ea1f40ab50ad42391ebfcf4943f07596467ff3594a568ccc6302"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:PJ6NKCC6V3VNB23VO6SIXHFJUJ","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:09:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2rpnZblQoMJEyKFpk1ZNxWvYRWeHvA26uDPs8sxt4D7IyxOcsBEJhNzdoktRJY+qXmRWQ88U35rYmovYk+vQDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T20:54:27.792916Z"},"content_sha256":"f6da05d3580577b9bcfb29a613a66bfa7c22f16fa325a738e62e69bcac60f586","schema_version":"1.0","event_id":"sha256:f6da05d3580577b9bcfb29a613a66bfa7c22f16fa325a738e62e69bcac60f586"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ/bundle.json","state_url":"https://pith.science/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-04T20:54:27Z","links":{"resolver":"https://pith.science/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ","bundle":"https://pith.science/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ/bundle.json","state":"https://pith.science/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PJ6NKCC6V3VNB23VO6SIXHFJUJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:PJ6NKCC6V3VNB23VO6SIXHFJUJ","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":"2d1efb1e7bbdc67ccadd8b52b4510faf09b10128414b5cad8f7ed183222cea89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-02-25T12:44:02Z","title_canon_sha256":"86e145f630b264cf947c2d687414655613915734e85fecebe71b0bed699ee792"},"schema_version":"1.0","source":{"id":"0802.3614","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.3614","created_at":"2026-07-04T17:09:33Z"},{"alias_kind":"arxiv_version","alias_value":"0802.3614v1","created_at":"2026-07-04T17:09:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.3614","created_at":"2026-07-04T17:09:33Z"},{"alias_kind":"pith_short_12","alias_value":"PJ6NKCC6V3VN","created_at":"2026-07-04T17:09:33Z"},{"alias_kind":"pith_short_16","alias_value":"PJ6NKCC6V3VNB23V","created_at":"2026-07-04T17:09:33Z"},{"alias_kind":"pith_short_8","alias_value":"PJ6NKCC6","created_at":"2026-07-04T17:09:33Z"}],"graph_snapshots":[{"event_id":"sha256:f6da05d3580577b9bcfb29a613a66bfa7c22f16fa325a738e62e69bcac60f586","target":"graph","created_at":"2026-07-04T17:09:33Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0802.3614/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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.","authors_text":"B. Sautois, H.G.E. Meijer, W. Govaerts, Yu.A. Kuznetsov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-02-25T12:44:02Z","title":"Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.3614","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":"sha256:3095214ad461ea1f40ab50ad42391ebfcf4943f07596467ff3594a568ccc6302","target":"record","created_at":"2026-07-04T17:09:33Z","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":"2d1efb1e7bbdc67ccadd8b52b4510faf09b10128414b5cad8f7ed183222cea89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-02-25T12:44:02Z","title_canon_sha256":"86e145f630b264cf947c2d687414655613915734e85fecebe71b0bed699ee792"},"schema_version":"1.0","source":{"id":"0802.3614","kind":"arxiv","version":1}},"canonical_sha256":"7a7cd5085eaeead0eb7577a48b9ca9a250727068d72d5778430775bb4de36e3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a7cd5085eaeead0eb7577a48b9ca9a250727068d72d5778430775bb4de36e3f","first_computed_at":"2026-07-04T17:09:33.808360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:09:33.808360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VDtaDUslFLcqIyfPQGnJLZhH8k/OvULPSDQ0CTHdjTeR/lRI/ogXFFKbbINhBk6fu48bcigYG6XeJ/3vds/uCg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:09:33.808723Z","signed_message":"canonical_sha256_bytes"},"source_id":"0802.3614","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3095214ad461ea1f40ab50ad42391ebfcf4943f07596467ff3594a568ccc6302","sha256:f6da05d3580577b9bcfb29a613a66bfa7c22f16fa325a738e62e69bcac60f586"],"state_sha256":"7cf3eec1edf21390e071e22c657f3a737a361529df6922217d329bdd6ab8e207"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aDuTjUkAy/wzYC4AEs7qrFb16CeZrbKOV1CTZL1YCLhKXgLF/dRwrUz8UvZaqtNXmDvo5cdYwbi8tuSD5IQZAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T20:54:27.794827Z","bundle_sha256":"3b89485f6cc63f5346188fd461dc02b30d49523a06e25f1e690bf56d3f253eb1"}}