{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:XL3ZSDCAMIR26RSNBEVYRFKHHW","short_pith_number":"pith:XL3ZSDCA","canonical_record":{"source":{"id":"2608.11932","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-08-12T11:18:21Z","cross_cats_sorted":[],"title_canon_sha256":"c090441c37732062ce77a899bbdc78230b7e355b305291ed5a09bc3e8f2b885f","abstract_canon_sha256":"94d91eb9c02a3b11da100dec92cdaf14634d26ba1b6bba02bbae8d08c1ae3b0f"},"schema_version":"1.0"},"canonical_sha256":"baf7990c406223af464d092b8895473d88bfed3a0399fd1d17ba6d0d8991b0f1","source":{"kind":"arxiv","id":"2608.11932","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.11932","created_at":"2026-08-13T01:28:59Z"},{"alias_kind":"arxiv_version","alias_value":"2608.11932v1","created_at":"2026-08-13T01:28:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.11932","created_at":"2026-08-13T01:28:59Z"},{"alias_kind":"pith_short_12","alias_value":"XL3ZSDCAMIR2","created_at":"2026-08-13T01:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"XL3ZSDCAMIR26RSN","created_at":"2026-08-13T01:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"XL3ZSDCA","created_at":"2026-08-13T01:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:XL3ZSDCAMIR26RSNBEVYRFKHHW","target":"record","payload":{"canonical_record":{"source":{"id":"2608.11932","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-08-12T11:18:21Z","cross_cats_sorted":[],"title_canon_sha256":"c090441c37732062ce77a899bbdc78230b7e355b305291ed5a09bc3e8f2b885f","abstract_canon_sha256":"94d91eb9c02a3b11da100dec92cdaf14634d26ba1b6bba02bbae8d08c1ae3b0f"},"schema_version":"1.0"},"canonical_sha256":"baf7990c406223af464d092b8895473d88bfed3a0399fd1d17ba6d0d8991b0f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-13T01:28:59.380922Z","signature_b64":"XXrYxlYYXtCE4UjRIGQtw+r1QcGYJadCnRh0jfd/KHXdHbxoMkgiUT0+gdMTAo6sKnadMfp6V+CvhIqzA5wjDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"baf7990c406223af464d092b8895473d88bfed3a0399fd1d17ba6d0d8991b0f1","last_reissued_at":"2026-08-13T01:28:59.378461Z","signature_status":"signed_v1","first_computed_at":"2026-08-13T01:28:59.378461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.11932","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":"2026-08-13T01:28:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s/147bvtJAI2MEV67qvX+VP3lWXudsZixKC5MqAPqqI9LiAmyvvQdkNcPcg8Ba5xCR3kuCLXe0niY+6I5m3jBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T21:52:37.572912Z"},"content_sha256":"ce89a0443919bc1f281a6b5e6563cf0ac92193b3fc970e2e2c47bfb10b45f503","schema_version":"1.0","event_id":"sha256:ce89a0443919bc1f281a6b5e6563cf0ac92193b3fc970e2e2c47bfb10b45f503"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:XL3ZSDCAMIR26RSNBEVYRFKHHW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Joint Identifiability and Conditioning in Finite-Horizon Continuous-Time Inverse LQR with Unknown Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Lei Jiang, Meiling Yu, Yuan-Hua Ni","submitted_at":"2026-08-12T11:18:21Z","abstract_excerpt":"Inverse Optimal Control (IOC) aims to infer the underlying cost functional of an agent from observations of its expert behavior. This paper studies the finite-horizon continuous-time inverse LQR problem from closed-loop state--input trajectories, where both the system matrices and the quadratic cost are unknown. The finite horizon induces a time-varying optimal gain, and this endogenous excitation serves as the structural mechanism that makes joint recovery possible. We quantify this mechanism through three computable conditioning indices, which measure state richness, gain-variation richness,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.11932","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/2608.11932/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":"2026-08-13T01:28:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+/LCOmXrtt3TXcxrjiFiIYrsCpoNuN2rCeeuNMGDG++P2IqckjhX6llSdeetHEvqL+V59c4PMHUdq6RAf9ZSAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T21:52:37.573410Z"},"content_sha256":"3af126061eb5672e4cbf06c8f5c150403c2566cf8c16ff19c94d843030ec43e4","schema_version":"1.0","event_id":"sha256:3af126061eb5672e4cbf06c8f5c150403c2566cf8c16ff19c94d843030ec43e4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XL3ZSDCAMIR26RSNBEVYRFKHHW/bundle.json","state_url":"https://pith.science/pith/XL3ZSDCAMIR26RSNBEVYRFKHHW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XL3ZSDCAMIR26RSNBEVYRFKHHW/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":"2026-08-18T21:52:37Z","links":{"resolver":"https://pith.science/pith/XL3ZSDCAMIR26RSNBEVYRFKHHW","bundle":"https://pith.science/pith/XL3ZSDCAMIR26RSNBEVYRFKHHW/bundle.json","state":"https://pith.science/pith/XL3ZSDCAMIR26RSNBEVYRFKHHW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XL3ZSDCAMIR26RSNBEVYRFKHHW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:XL3ZSDCAMIR26RSNBEVYRFKHHW","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":"94d91eb9c02a3b11da100dec92cdaf14634d26ba1b6bba02bbae8d08c1ae3b0f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-08-12T11:18:21Z","title_canon_sha256":"c090441c37732062ce77a899bbdc78230b7e355b305291ed5a09bc3e8f2b885f"},"schema_version":"1.0","source":{"id":"2608.11932","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.11932","created_at":"2026-08-13T01:28:59Z"},{"alias_kind":"arxiv_version","alias_value":"2608.11932v1","created_at":"2026-08-13T01:28:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.11932","created_at":"2026-08-13T01:28:59Z"},{"alias_kind":"pith_short_12","alias_value":"XL3ZSDCAMIR2","created_at":"2026-08-13T01:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"XL3ZSDCAMIR26RSN","created_at":"2026-08-13T01:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"XL3ZSDCA","created_at":"2026-08-13T01:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:3af126061eb5672e4cbf06c8f5c150403c2566cf8c16ff19c94d843030ec43e4","target":"graph","created_at":"2026-08-13T01:28:59Z","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/2608.11932/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Inverse Optimal Control (IOC) aims to infer the underlying cost functional of an agent from observations of its expert behavior. This paper studies the finite-horizon continuous-time inverse LQR problem from closed-loop state--input trajectories, where both the system matrices and the quadratic cost are unknown. The finite horizon induces a time-varying optimal gain, and this endogenous excitation serves as the structural mechanism that makes joint recovery possible. We quantify this mechanism through three computable conditioning indices, which measure state richness, gain-variation richness,","authors_text":"Lei Jiang, Meiling Yu, Yuan-Hua Ni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-08-12T11:18:21Z","title":"Joint Identifiability and Conditioning in Finite-Horizon Continuous-Time Inverse LQR with Unknown Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.11932","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:ce89a0443919bc1f281a6b5e6563cf0ac92193b3fc970e2e2c47bfb10b45f503","target":"record","created_at":"2026-08-13T01:28:59Z","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":"94d91eb9c02a3b11da100dec92cdaf14634d26ba1b6bba02bbae8d08c1ae3b0f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-08-12T11:18:21Z","title_canon_sha256":"c090441c37732062ce77a899bbdc78230b7e355b305291ed5a09bc3e8f2b885f"},"schema_version":"1.0","source":{"id":"2608.11932","kind":"arxiv","version":1}},"canonical_sha256":"baf7990c406223af464d092b8895473d88bfed3a0399fd1d17ba6d0d8991b0f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"baf7990c406223af464d092b8895473d88bfed3a0399fd1d17ba6d0d8991b0f1","first_computed_at":"2026-08-13T01:28:59.378461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-13T01:28:59.378461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XXrYxlYYXtCE4UjRIGQtw+r1QcGYJadCnRh0jfd/KHXdHbxoMkgiUT0+gdMTAo6sKnadMfp6V+CvhIqzA5wjDg==","signature_status":"signed_v1","signed_at":"2026-08-13T01:28:59.380922Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.11932","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce89a0443919bc1f281a6b5e6563cf0ac92193b3fc970e2e2c47bfb10b45f503","sha256:3af126061eb5672e4cbf06c8f5c150403c2566cf8c16ff19c94d843030ec43e4"],"state_sha256":"5ba4e862540c1377e735b5d1cef6bc37089b5ba40ec5461001267eb013287aa3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AnH1KAtASPd5JduusVoBTlVxlP7hAhIAwwRPYVuPzsLg6k8+kwE8EtmLip+ZGHiC1gdT3xcWhfJGIi0DEMteAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T21:52:37.577461Z","bundle_sha256":"e9132863d9d57cac29f3db7d0e11d2f0c17890b63a33b18c85f1eb16360160e4"}}