{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:MDIIGQC4TFSRCYXPMUQGWDMIJN","short_pith_number":"pith:MDIIGQC4","canonical_record":{"source":{"id":"1009.1670","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-09-09T01:46:08Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"bd66f17ff1432e27408b7cb398df7591ffead2ea67c4ce8438f437bbb6df2838","abstract_canon_sha256":"dbfd683988f23418f27f1f8bacaa47ecd29fe1f1ff704558f32a7a765b2b2234"},"schema_version":"1.0"},"canonical_sha256":"60d083405c99651162ef65206b0d884b6d86f0dacab19a289607fb0ce6b2f7d4","source":{"kind":"arxiv","id":"1009.1670","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1670","created_at":"2026-05-18T00:58:44Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1670v1","created_at":"2026-05-18T00:58:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1670","created_at":"2026-05-18T00:58:44Z"},{"alias_kind":"pith_short_12","alias_value":"MDIIGQC4TFSR","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MDIIGQC4TFSRCYXP","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MDIIGQC4","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:MDIIGQC4TFSRCYXPMUQGWDMIJN","target":"record","payload":{"canonical_record":{"source":{"id":"1009.1670","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-09-09T01:46:08Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"bd66f17ff1432e27408b7cb398df7591ffead2ea67c4ce8438f437bbb6df2838","abstract_canon_sha256":"dbfd683988f23418f27f1f8bacaa47ecd29fe1f1ff704558f32a7a765b2b2234"},"schema_version":"1.0"},"canonical_sha256":"60d083405c99651162ef65206b0d884b6d86f0dacab19a289607fb0ce6b2f7d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:44.032004Z","signature_b64":"9vByfb+d0YqPZjshwV92YM+YZM4qyepy+4dLGbGiFFx9E1Y/ytXjQqK8iY9XDtgOtzCx0+jrYGHrzoHxf8gNDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60d083405c99651162ef65206b0d884b6d86f0dacab19a289607fb0ce6b2f7d4","last_reissued_at":"2026-05-18T00:58:44.031409Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:44.031409Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.1670","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":"2026-05-18T00:58:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BJtIxplFIp2IdrhYYa0kbBJESwOo97y9cBktvjjQ3NVkIUWU2a/Tv+ccoX6v9LOkvb4neI/OG2WIhgOUp8k+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:47:40.148143Z"},"content_sha256":"9de28766363283c8226dd912227162ebbab7da8208e4eb036f06f9235acc25ae","schema_version":"1.0","event_id":"sha256:9de28766363283c8226dd912227162ebbab7da8208e4eb036f06f9235acc25ae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:MDIIGQC4TFSRCYXPMUQGWDMIJN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convex Optimization In Identification Of Stable Non-Linear State Space Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.OC","authors_text":"Alexandre Megretski, Ian R. Manchester, Jennifer Wang, Mark M. Tobenkin, Russ Tedrake","submitted_at":"2010-09-09T01:46:08Z","abstract_excerpt":"A new framework for nonlinear system identification is presented in terms of optimal fitting of stable nonlinear state space equations to input/output/state data, with a performance objective defined as a measure of robustness of the simulation error with respect to equation errors. Basic definitions and analytical results are presented. The utility of the method is illustrated on a simple simulation example as well as experimental recordings from a live neuron."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1670","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":"2026-05-18T00:58:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AeOswcj3mgsY2V088w9vo8mCWtLYGdGTgUYBTMOr5OmvwuXRh8M133GmJfTt7LeQsN7u5AMBETY5DY6ZjQs2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:47:40.148514Z"},"content_sha256":"73a0e89520c09762852c0e61c26eb1a7777e22929342d682471aa6d4ad31e289","schema_version":"1.0","event_id":"sha256:73a0e89520c09762852c0e61c26eb1a7777e22929342d682471aa6d4ad31e289"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MDIIGQC4TFSRCYXPMUQGWDMIJN/bundle.json","state_url":"https://pith.science/pith/MDIIGQC4TFSRCYXPMUQGWDMIJN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MDIIGQC4TFSRCYXPMUQGWDMIJN/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":"2026-05-25T21:47:40Z","links":{"resolver":"https://pith.science/pith/MDIIGQC4TFSRCYXPMUQGWDMIJN","bundle":"https://pith.science/pith/MDIIGQC4TFSRCYXPMUQGWDMIJN/bundle.json","state":"https://pith.science/pith/MDIIGQC4TFSRCYXPMUQGWDMIJN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MDIIGQC4TFSRCYXPMUQGWDMIJN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:MDIIGQC4TFSRCYXPMUQGWDMIJN","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":"dbfd683988f23418f27f1f8bacaa47ecd29fe1f1ff704558f32a7a765b2b2234","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-09-09T01:46:08Z","title_canon_sha256":"bd66f17ff1432e27408b7cb398df7591ffead2ea67c4ce8438f437bbb6df2838"},"schema_version":"1.0","source":{"id":"1009.1670","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1670","created_at":"2026-05-18T00:58:44Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1670v1","created_at":"2026-05-18T00:58:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1670","created_at":"2026-05-18T00:58:44Z"},{"alias_kind":"pith_short_12","alias_value":"MDIIGQC4TFSR","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MDIIGQC4TFSRCYXP","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MDIIGQC4","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:73a0e89520c09762852c0e61c26eb1a7777e22929342d682471aa6d4ad31e289","target":"graph","created_at":"2026-05-18T00:58:44Z","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":"A new framework for nonlinear system identification is presented in terms of optimal fitting of stable nonlinear state space equations to input/output/state data, with a performance objective defined as a measure of robustness of the simulation error with respect to equation errors. Basic definitions and analytical results are presented. The utility of the method is illustrated on a simple simulation example as well as experimental recordings from a live neuron.","authors_text":"Alexandre Megretski, Ian R. Manchester, Jennifer Wang, Mark M. Tobenkin, Russ Tedrake","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-09-09T01:46:08Z","title":"Convex Optimization In Identification Of Stable Non-Linear State Space Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1670","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":"sha256:9de28766363283c8226dd912227162ebbab7da8208e4eb036f06f9235acc25ae","target":"record","created_at":"2026-05-18T00:58:44Z","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":"dbfd683988f23418f27f1f8bacaa47ecd29fe1f1ff704558f32a7a765b2b2234","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2010-09-09T01:46:08Z","title_canon_sha256":"bd66f17ff1432e27408b7cb398df7591ffead2ea67c4ce8438f437bbb6df2838"},"schema_version":"1.0","source":{"id":"1009.1670","kind":"arxiv","version":1}},"canonical_sha256":"60d083405c99651162ef65206b0d884b6d86f0dacab19a289607fb0ce6b2f7d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60d083405c99651162ef65206b0d884b6d86f0dacab19a289607fb0ce6b2f7d4","first_computed_at":"2026-05-18T00:58:44.031409Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:44.031409Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9vByfb+d0YqPZjshwV92YM+YZM4qyepy+4dLGbGiFFx9E1Y/ytXjQqK8iY9XDtgOtzCx0+jrYGHrzoHxf8gNDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:44.032004Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.1670","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9de28766363283c8226dd912227162ebbab7da8208e4eb036f06f9235acc25ae","sha256:73a0e89520c09762852c0e61c26eb1a7777e22929342d682471aa6d4ad31e289"],"state_sha256":"034b0a9014eee9ff6bcf51718460d16a6417d81138bbd61f92a93d7635e958e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HgzADujwbMj46Swq8PMew+9/dJfxAbDIQtU4oMT5KtAf6e05yQQIIR3w5LsSkOiVoMTdUp/HAltF0hD7ubWiCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T21:47:40.150799Z","bundle_sha256":"ad8142cd62a3b8208ae7059ad597fe8ba019b686095c5e790382f64f5e1a945f"}}