{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:7OG46ORWQNXA52XO5M4I3DMOKE","short_pith_number":"pith:7OG46ORW","canonical_record":{"source":{"id":"1711.10237","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-28T11:48:42Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"6a663b7924fc1eafe5c0634d0e6ec8c3cb4f2fe12a951fb8973f7625f3300a21","abstract_canon_sha256":"4dbf5cff946a2cd1485cb25fbedbb05f1a58ed457c89e5a9a86bdbff32ab7b51"},"schema_version":"1.0"},"canonical_sha256":"fb8dcf3a36836e0eeaeeeb388d8d8e510b0b4ca3e33a8729641a159227eb6e39","source":{"kind":"arxiv","id":"1711.10237","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.10237","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"arxiv_version","alias_value":"1711.10237v1","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10237","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"pith_short_12","alias_value":"7OG46ORWQNXA","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7OG46ORWQNXA52XO","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7OG46ORW","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:7OG46ORWQNXA52XO5M4I3DMOKE","target":"record","payload":{"canonical_record":{"source":{"id":"1711.10237","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-28T11:48:42Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"6a663b7924fc1eafe5c0634d0e6ec8c3cb4f2fe12a951fb8973f7625f3300a21","abstract_canon_sha256":"4dbf5cff946a2cd1485cb25fbedbb05f1a58ed457c89e5a9a86bdbff32ab7b51"},"schema_version":"1.0"},"canonical_sha256":"fb8dcf3a36836e0eeaeeeb388d8d8e510b0b4ca3e33a8729641a159227eb6e39","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:36.353354Z","signature_b64":"LwSKfDmFhih+Tn0IDXGJn46Hr8itSw9173AylFMxAU6YNGtsJvjG4pnwPV1GvOlZKnsTdiyk0h/40Mk6VGWLBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb8dcf3a36836e0eeaeeeb388d8d8e510b0b4ca3e33a8729641a159227eb6e39","last_reissued_at":"2026-05-17T23:47:36.352646Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:36.352646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.10237","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":"2026-05-17T23:47:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jO+hdQ2quuDZxvzpkiBM6aIVI6EaVRc6uKTo76eB3/f03+/maJfqeimuVfgJ6izKAQG8BUAWLnEPX8Fk2DLlBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T06:16:36.656963Z"},"content_sha256":"4283396ae31d41081803ba41f59bc045e6d40fa0619043b12e4f05df66c07d59","schema_version":"1.0","event_id":"sha256:4283396ae31d41081803ba41f59bc045e6d40fa0619043b12e4f05df66c07d59"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:7OG46ORWQNXA52XO5M4I3DMOKE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the triangular canonical form for uniformly observable controlled systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.OC","authors_text":"Hassan Hammouri (LAGEP), Laurent Praly (CAS), Pauline Bernard (CAS), Vincent Andrieu (LAGEP)","submitted_at":"2017-11-28T11:48:42Z","abstract_excerpt":"We study controlled systems which are uniformly observable and differentially observable with an order larger than the system state dimension. We establish that they may be transformed into a (partial) triangular canonical form but with possibly non locally Lipschitz functions. We characterize the points where this Lipschitzness may be lost and investigate the link with uniform infinitesimal observability."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10237","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":"2026-05-17T23:47:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RuzGIh1BbjNlolq40yr7Z/ZJrJIso6ZzdImvLg5eoBTySKw2hMhAXOZLuyAhDf5S1zqnx7VdsSjLugOtIGBWCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T06:16:36.657309Z"},"content_sha256":"057e8ab1cdf7ee3ff66823aad9628867f0bfc6c58a38b365976b1cb8a73c715a","schema_version":"1.0","event_id":"sha256:057e8ab1cdf7ee3ff66823aad9628867f0bfc6c58a38b365976b1cb8a73c715a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7OG46ORWQNXA52XO5M4I3DMOKE/bundle.json","state_url":"https://pith.science/pith/7OG46ORWQNXA52XO5M4I3DMOKE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7OG46ORWQNXA52XO5M4I3DMOKE/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":"2026-06-02T06:16:36Z","links":{"resolver":"https://pith.science/pith/7OG46ORWQNXA52XO5M4I3DMOKE","bundle":"https://pith.science/pith/7OG46ORWQNXA52XO5M4I3DMOKE/bundle.json","state":"https://pith.science/pith/7OG46ORWQNXA52XO5M4I3DMOKE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7OG46ORWQNXA52XO5M4I3DMOKE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7OG46ORWQNXA52XO5M4I3DMOKE","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":"4dbf5cff946a2cd1485cb25fbedbb05f1a58ed457c89e5a9a86bdbff32ab7b51","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-28T11:48:42Z","title_canon_sha256":"6a663b7924fc1eafe5c0634d0e6ec8c3cb4f2fe12a951fb8973f7625f3300a21"},"schema_version":"1.0","source":{"id":"1711.10237","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.10237","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"arxiv_version","alias_value":"1711.10237v1","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10237","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"pith_short_12","alias_value":"7OG46ORWQNXA","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7OG46ORWQNXA52XO","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7OG46ORW","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:057e8ab1cdf7ee3ff66823aad9628867f0bfc6c58a38b365976b1cb8a73c715a","target":"graph","created_at":"2026-05-17T23:47:36Z","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"},"paper":{"abstract_excerpt":"We study controlled systems which are uniformly observable and differentially observable with an order larger than the system state dimension. We establish that they may be transformed into a (partial) triangular canonical form but with possibly non locally Lipschitz functions. We characterize the points where this Lipschitzness may be lost and investigate the link with uniform infinitesimal observability.","authors_text":"Hassan Hammouri (LAGEP), Laurent Praly (CAS), Pauline Bernard (CAS), Vincent Andrieu (LAGEP)","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-28T11:48:42Z","title":"On the triangular canonical form for uniformly observable controlled systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10237","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":"sha256:4283396ae31d41081803ba41f59bc045e6d40fa0619043b12e4f05df66c07d59","target":"record","created_at":"2026-05-17T23:47:36Z","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":"4dbf5cff946a2cd1485cb25fbedbb05f1a58ed457c89e5a9a86bdbff32ab7b51","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-28T11:48:42Z","title_canon_sha256":"6a663b7924fc1eafe5c0634d0e6ec8c3cb4f2fe12a951fb8973f7625f3300a21"},"schema_version":"1.0","source":{"id":"1711.10237","kind":"arxiv","version":1}},"canonical_sha256":"fb8dcf3a36836e0eeaeeeb388d8d8e510b0b4ca3e33a8729641a159227eb6e39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb8dcf3a36836e0eeaeeeb388d8d8e510b0b4ca3e33a8729641a159227eb6e39","first_computed_at":"2026-05-17T23:47:36.352646Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:36.352646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LwSKfDmFhih+Tn0IDXGJn46Hr8itSw9173AylFMxAU6YNGtsJvjG4pnwPV1GvOlZKnsTdiyk0h/40Mk6VGWLBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:36.353354Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.10237","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4283396ae31d41081803ba41f59bc045e6d40fa0619043b12e4f05df66c07d59","sha256:057e8ab1cdf7ee3ff66823aad9628867f0bfc6c58a38b365976b1cb8a73c715a"],"state_sha256":"f66506ab25ef869984ac7d28d6ab99213fe4fdf436667350434297925fcb1192"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z9OTSZsT4m+cZtYIvNegAtma0YN/oN5uGsLMzq4deFfkcRgpmlXxOVllotXgiTzGt/BOfySaYtHNQVqS797ZCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T06:16:36.659241Z","bundle_sha256":"c590ed9338deb46eb00962ea6d36fc6c0399bcd1cc3c98e8b05082f48c0ee804"}}