{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3CUNWF64A2B6JHIWJUKRRAQRX2","short_pith_number":"pith:3CUNWF64","canonical_record":{"source":{"id":"1410.7558","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-10-28T09:01:48Z","cross_cats_sorted":[],"title_canon_sha256":"6809ee83dfb5fcab67f7414c8482feb1f66a71b19b0078efc9fc0dfc17786b7e","abstract_canon_sha256":"9b0fd4fc4174783ea5ba2d2cd203724fe381d5f30f3bb104eaf3853bc5d9adb6"},"schema_version":"1.0"},"canonical_sha256":"d8a8db17dc0683e49d164d15188211bea80aafb219eaa2dc6930802f20ce04c3","source":{"kind":"arxiv","id":"1410.7558","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.7558","created_at":"2026-05-18T02:39:10Z"},{"alias_kind":"arxiv_version","alias_value":"1410.7558v1","created_at":"2026-05-18T02:39:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.7558","created_at":"2026-05-18T02:39:10Z"},{"alias_kind":"pith_short_12","alias_value":"3CUNWF64A2B6","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3CUNWF64A2B6JHIW","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3CUNWF64","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3CUNWF64A2B6JHIWJUKRRAQRX2","target":"record","payload":{"canonical_record":{"source":{"id":"1410.7558","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-10-28T09:01:48Z","cross_cats_sorted":[],"title_canon_sha256":"6809ee83dfb5fcab67f7414c8482feb1f66a71b19b0078efc9fc0dfc17786b7e","abstract_canon_sha256":"9b0fd4fc4174783ea5ba2d2cd203724fe381d5f30f3bb104eaf3853bc5d9adb6"},"schema_version":"1.0"},"canonical_sha256":"d8a8db17dc0683e49d164d15188211bea80aafb219eaa2dc6930802f20ce04c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:10.036018Z","signature_b64":"pWpeRiaE9l8MdrM7q2x+hWCJVcxcMUhoOCP9RO6T5FYjKv9RglCVxzpWylCT8XSBKM3Vaw2cZMehjV6xGKMDDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8a8db17dc0683e49d164d15188211bea80aafb219eaa2dc6930802f20ce04c3","last_reissued_at":"2026-05-18T02:39:10.035278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:10.035278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.7558","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":"2026-05-18T02:39:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NffSR8F8e0VFf4mi97KMf3+wXOM4mY+1+S4HfetL4hme6xDlffpmALWLWJkZnvhzQVsVSRhMQydUylyGa3GmDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:01:31.502357Z"},"content_sha256":"1c3803c2bc3b7e9c23bf27416379aedfb1c6b1c5ef1393ea901c8e4c6d3db5d1","schema_version":"1.0","event_id":"sha256:1c3803c2bc3b7e9c23bf27416379aedfb1c6b1c5ef1393ea901c8e4c6d3db5d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3CUNWF64A2B6JHIWJUKRRAQRX2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"State and Parameter Estimation of Partially Observed Linear Ordinary Differential Equations with Deterministic Optimal Control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Nicolas Brunel, Quentin Clairon","submitted_at":"2014-10-28T09:01:48Z","abstract_excerpt":"Ordinary Differential Equations are a simple but powerful framework for modeling complex systems. Parameter estimation from times series can be done by Nonlinear Least Squares (or other classical approaches), but this can give unsatisfactory results because the inverse problem can be ill-posed, even when the differential equation is linear.\n  Following recent approaches that use approximate solutions of the ODE model, we propose a new method that converts parameter estimation into an optimal control problem: our objective is to determine a control and a parameter that are as close as possible "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.7558","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":""},"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":"2026-05-18T02:39:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fC8gtG2Ztwfk9UgntT67kT3DsXVy8NznthALVBUwu6axmKxUNo1alTtTCZK6LeZFVkvXMnoxu8lVNM+4h4xIDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:01:31.502708Z"},"content_sha256":"753785e6be719b2a3d2d55a2b58e15c6c40072412d71c562505f3bd6237faac9","schema_version":"1.0","event_id":"sha256:753785e6be719b2a3d2d55a2b58e15c6c40072412d71c562505f3bd6237faac9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3CUNWF64A2B6JHIWJUKRRAQRX2/bundle.json","state_url":"https://pith.science/pith/3CUNWF64A2B6JHIWJUKRRAQRX2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3CUNWF64A2B6JHIWJUKRRAQRX2/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":"2026-06-02T19:01:31Z","links":{"resolver":"https://pith.science/pith/3CUNWF64A2B6JHIWJUKRRAQRX2","bundle":"https://pith.science/pith/3CUNWF64A2B6JHIWJUKRRAQRX2/bundle.json","state":"https://pith.science/pith/3CUNWF64A2B6JHIWJUKRRAQRX2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3CUNWF64A2B6JHIWJUKRRAQRX2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3CUNWF64A2B6JHIWJUKRRAQRX2","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":"9b0fd4fc4174783ea5ba2d2cd203724fe381d5f30f3bb104eaf3853bc5d9adb6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-10-28T09:01:48Z","title_canon_sha256":"6809ee83dfb5fcab67f7414c8482feb1f66a71b19b0078efc9fc0dfc17786b7e"},"schema_version":"1.0","source":{"id":"1410.7558","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.7558","created_at":"2026-05-18T02:39:10Z"},{"alias_kind":"arxiv_version","alias_value":"1410.7558v1","created_at":"2026-05-18T02:39:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.7558","created_at":"2026-05-18T02:39:10Z"},{"alias_kind":"pith_short_12","alias_value":"3CUNWF64A2B6","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3CUNWF64A2B6JHIW","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3CUNWF64","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:753785e6be719b2a3d2d55a2b58e15c6c40072412d71c562505f3bd6237faac9","target":"graph","created_at":"2026-05-18T02:39:10Z","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":"Ordinary Differential Equations are a simple but powerful framework for modeling complex systems. Parameter estimation from times series can be done by Nonlinear Least Squares (or other classical approaches), but this can give unsatisfactory results because the inverse problem can be ill-posed, even when the differential equation is linear.\n  Following recent approaches that use approximate solutions of the ODE model, we propose a new method that converts parameter estimation into an optimal control problem: our objective is to determine a control and a parameter that are as close as possible ","authors_text":"Nicolas Brunel, Quentin Clairon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-10-28T09:01:48Z","title":"State and Parameter Estimation of Partially Observed Linear Ordinary Differential Equations with Deterministic Optimal Control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.7558","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":"sha256:1c3803c2bc3b7e9c23bf27416379aedfb1c6b1c5ef1393ea901c8e4c6d3db5d1","target":"record","created_at":"2026-05-18T02:39:10Z","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":"9b0fd4fc4174783ea5ba2d2cd203724fe381d5f30f3bb104eaf3853bc5d9adb6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-10-28T09:01:48Z","title_canon_sha256":"6809ee83dfb5fcab67f7414c8482feb1f66a71b19b0078efc9fc0dfc17786b7e"},"schema_version":"1.0","source":{"id":"1410.7558","kind":"arxiv","version":1}},"canonical_sha256":"d8a8db17dc0683e49d164d15188211bea80aafb219eaa2dc6930802f20ce04c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8a8db17dc0683e49d164d15188211bea80aafb219eaa2dc6930802f20ce04c3","first_computed_at":"2026-05-18T02:39:10.035278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:10.035278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pWpeRiaE9l8MdrM7q2x+hWCJVcxcMUhoOCP9RO6T5FYjKv9RglCVxzpWylCT8XSBKM3Vaw2cZMehjV6xGKMDDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:10.036018Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.7558","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c3803c2bc3b7e9c23bf27416379aedfb1c6b1c5ef1393ea901c8e4c6d3db5d1","sha256:753785e6be719b2a3d2d55a2b58e15c6c40072412d71c562505f3bd6237faac9"],"state_sha256":"fd3ceca0f10740e9d9498cbfcb15db93e5cd8c2d6a7cc868bb71e6bb1cd6cf73"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G62v2zPFPCOkk1sx+cc7sLcd0QP0+PVMKCqrDaMwbprRpHTEu8KeI1J9xlgcDSqcoBk6eY987H1WP4uKmjamCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T19:01:31.504685Z","bundle_sha256":"7b56a4be21c7d3cba8c4bc5ba1ba55d8efa9f8e1cee0b9a358dd4e2bbfed4d63"}}