{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:6FYTZECFIGCWQXTWZHFCXCHY6B","short_pith_number":"pith:6FYTZECF","canonical_record":{"source":{"id":"2104.12261","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2021-04-25T21:27:08Z","cross_cats_sorted":[],"title_canon_sha256":"da5ca2aa5a0c48e8bfbdbb9b9cbd1afafe9d925ae407864d277324374796b306","abstract_canon_sha256":"6945f3164db1709edb63c6582143acc5b791f76c111049e4b8efeb04ca6932c7"},"schema_version":"1.0"},"canonical_sha256":"f1713c90454185685e76c9ca2b88f8f07386f08d6c7ec1ddd279f1eec356225b","source":{"kind":"arxiv","id":"2104.12261","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.12261","created_at":"2026-07-05T05:00:36Z"},{"alias_kind":"arxiv_version","alias_value":"2104.12261v3","created_at":"2026-07-05T05:00:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.12261","created_at":"2026-07-05T05:00:36Z"},{"alias_kind":"pith_short_12","alias_value":"6FYTZECFIGCW","created_at":"2026-07-05T05:00:36Z"},{"alias_kind":"pith_short_16","alias_value":"6FYTZECFIGCWQXTW","created_at":"2026-07-05T05:00:36Z"},{"alias_kind":"pith_short_8","alias_value":"6FYTZECF","created_at":"2026-07-05T05:00:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:6FYTZECFIGCWQXTWZHFCXCHY6B","target":"record","payload":{"canonical_record":{"source":{"id":"2104.12261","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2021-04-25T21:27:08Z","cross_cats_sorted":[],"title_canon_sha256":"da5ca2aa5a0c48e8bfbdbb9b9cbd1afafe9d925ae407864d277324374796b306","abstract_canon_sha256":"6945f3164db1709edb63c6582143acc5b791f76c111049e4b8efeb04ca6932c7"},"schema_version":"1.0"},"canonical_sha256":"f1713c90454185685e76c9ca2b88f8f07386f08d6c7ec1ddd279f1eec356225b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:00:36.474118Z","signature_b64":"fPmLT1RpOH4o1MdnrDd/Bf80muG1swSi50v27IHImgG4LrXLyfUkFa234CG9S66IvRVZre9LYnj6USiPtPmJAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1713c90454185685e76c9ca2b88f8f07386f08d6c7ec1ddd279f1eec356225b","last_reissued_at":"2026-07-05T05:00:36.473658Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:00:36.473658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2104.12261","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:00:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2wjiwoDgIh/R2IwhK37wDlBadml+McN9k1Anwh+7sMCouCJyNze6NrXbTGEQYmiPfdvqy9a3GDT/tCZsmPaNCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T01:41:55.066323Z"},"content_sha256":"60e4fbc6fd511a2f6791f74ade25b8b3589a5f437f820b3dc47323d506f94ceb","schema_version":"1.0","event_id":"sha256:60e4fbc6fd511a2f6791f74ade25b8b3589a5f437f820b3dc47323d506f94ceb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:6FYTZECFIGCWQXTWZHFCXCHY6B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Methods of Continuation and their Implementation in the COCO Software Platform with Application to Delay Differential Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Harry Dankowicz, Jan Sieber, Mingwu Li, Zaid Ahsan","submitted_at":"2021-04-25T21:27:08Z","abstract_excerpt":"This paper treats comprehensively the construction of problems from nonlinear dynamics and constrained optimization amenable to parameter continuation techniques and with particular emphasis on multi-segment boundary-value problems with delay. The discussion is grounded in the context of the COCO software package and its explicit support for community-driven development. To this end, the paper first formalizes the COCO construction paradigm for augmented continuation problems compatible with simultaneous analysis of implicitly defined manifolds of solutions to nonlinear equations and the corre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.12261","kind":"arxiv","version":3},"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/2104.12261/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":"2026-07-05T05:00:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ir3j0Rxgj2ihiI5mu2C38N8GEXIXbrYfICCERGzcNmtxL7a+m/KZ5kXVhjcahrE02MSKK2KLBI/Lju6sePq3AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T01:41:55.067197Z"},"content_sha256":"2e34375b1728da41ce77f30aef8687381bb130189243b2e70d672eb9edaf48ae","schema_version":"1.0","event_id":"sha256:2e34375b1728da41ce77f30aef8687381bb130189243b2e70d672eb9edaf48ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6FYTZECFIGCWQXTWZHFCXCHY6B/bundle.json","state_url":"https://pith.science/pith/6FYTZECFIGCWQXTWZHFCXCHY6B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6FYTZECFIGCWQXTWZHFCXCHY6B/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":"2026-08-01T01:41:55Z","links":{"resolver":"https://pith.science/pith/6FYTZECFIGCWQXTWZHFCXCHY6B","bundle":"https://pith.science/pith/6FYTZECFIGCWQXTWZHFCXCHY6B/bundle.json","state":"https://pith.science/pith/6FYTZECFIGCWQXTWZHFCXCHY6B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6FYTZECFIGCWQXTWZHFCXCHY6B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:6FYTZECFIGCWQXTWZHFCXCHY6B","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":"6945f3164db1709edb63c6582143acc5b791f76c111049e4b8efeb04ca6932c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2021-04-25T21:27:08Z","title_canon_sha256":"da5ca2aa5a0c48e8bfbdbb9b9cbd1afafe9d925ae407864d277324374796b306"},"schema_version":"1.0","source":{"id":"2104.12261","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.12261","created_at":"2026-07-05T05:00:36Z"},{"alias_kind":"arxiv_version","alias_value":"2104.12261v3","created_at":"2026-07-05T05:00:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.12261","created_at":"2026-07-05T05:00:36Z"},{"alias_kind":"pith_short_12","alias_value":"6FYTZECFIGCW","created_at":"2026-07-05T05:00:36Z"},{"alias_kind":"pith_short_16","alias_value":"6FYTZECFIGCWQXTW","created_at":"2026-07-05T05:00:36Z"},{"alias_kind":"pith_short_8","alias_value":"6FYTZECF","created_at":"2026-07-05T05:00:36Z"}],"graph_snapshots":[{"event_id":"sha256:2e34375b1728da41ce77f30aef8687381bb130189243b2e70d672eb9edaf48ae","target":"graph","created_at":"2026-07-05T05:00:36Z","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/2104.12261/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper treats comprehensively the construction of problems from nonlinear dynamics and constrained optimization amenable to parameter continuation techniques and with particular emphasis on multi-segment boundary-value problems with delay. The discussion is grounded in the context of the COCO software package and its explicit support for community-driven development. To this end, the paper first formalizes the COCO construction paradigm for augmented continuation problems compatible with simultaneous analysis of implicitly defined manifolds of solutions to nonlinear equations and the corre","authors_text":"Harry Dankowicz, Jan Sieber, Mingwu Li, Zaid Ahsan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2021-04-25T21:27:08Z","title":"Methods of Continuation and their Implementation in the COCO Software Platform with Application to Delay Differential Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.12261","kind":"arxiv","version":3},"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":"sha256:60e4fbc6fd511a2f6791f74ade25b8b3589a5f437f820b3dc47323d506f94ceb","target":"record","created_at":"2026-07-05T05:00:36Z","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":"6945f3164db1709edb63c6582143acc5b791f76c111049e4b8efeb04ca6932c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2021-04-25T21:27:08Z","title_canon_sha256":"da5ca2aa5a0c48e8bfbdbb9b9cbd1afafe9d925ae407864d277324374796b306"},"schema_version":"1.0","source":{"id":"2104.12261","kind":"arxiv","version":3}},"canonical_sha256":"f1713c90454185685e76c9ca2b88f8f07386f08d6c7ec1ddd279f1eec356225b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1713c90454185685e76c9ca2b88f8f07386f08d6c7ec1ddd279f1eec356225b","first_computed_at":"2026-07-05T05:00:36.473658Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:00:36.473658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fPmLT1RpOH4o1MdnrDd/Bf80muG1swSi50v27IHImgG4LrXLyfUkFa234CG9S66IvRVZre9LYnj6USiPtPmJAw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:00:36.474118Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.12261","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60e4fbc6fd511a2f6791f74ade25b8b3589a5f437f820b3dc47323d506f94ceb","sha256:2e34375b1728da41ce77f30aef8687381bb130189243b2e70d672eb9edaf48ae"],"state_sha256":"16e333d70ab893e553024db9c66ba9d3dccc8a12a08282b531f2cc1263d4bc77"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7WyNRkmV68e6XjH1r3Mjx2VJEMY17bwMZZKvrbrpIbdlp2O6A90hch74l780SJC9woX27jeavX9oFTwPNIHFBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T01:41:55.076040Z","bundle_sha256":"97c4536da96416113ffc78dc6112c4da92e50662b4ff6992b083df8dacab6579"}}