{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VHY4HMZFWVNXBJ64ROV6DMORX3","short_pith_number":"pith:VHY4HMZF","canonical_record":{"source":{"id":"1711.05640","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-11-15T15:56:42Z","cross_cats_sorted":[],"title_canon_sha256":"d64b065d914ba3b4ad59363b0773cf033a673c13583f51610fb9d7b2948b0696","abstract_canon_sha256":"08c4909e63be9dcf52934bb7709b6d922d983c8175909987b1275abc13f6ba9a"},"schema_version":"1.0"},"canonical_sha256":"a9f1c3b325b55b70a7dc8babe1b1d1becbdc150eecbedf5e0e897536c5d3c971","source":{"kind":"arxiv","id":"1711.05640","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05640","created_at":"2026-05-18T00:30:29Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05640v1","created_at":"2026-05-18T00:30:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05640","created_at":"2026-05-18T00:30:29Z"},{"alias_kind":"pith_short_12","alias_value":"VHY4HMZFWVNX","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VHY4HMZFWVNXBJ64","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VHY4HMZF","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VHY4HMZFWVNXBJ64ROV6DMORX3","target":"record","payload":{"canonical_record":{"source":{"id":"1711.05640","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-11-15T15:56:42Z","cross_cats_sorted":[],"title_canon_sha256":"d64b065d914ba3b4ad59363b0773cf033a673c13583f51610fb9d7b2948b0696","abstract_canon_sha256":"08c4909e63be9dcf52934bb7709b6d922d983c8175909987b1275abc13f6ba9a"},"schema_version":"1.0"},"canonical_sha256":"a9f1c3b325b55b70a7dc8babe1b1d1becbdc150eecbedf5e0e897536c5d3c971","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:29.306784Z","signature_b64":"+r9y4FPApISJ50wtLIlzgFHQNnFGl7QUCvNSiun6SZuafPY0VszUdhHU9tnSIc30cezFLiIwhpraek+22lQbDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9f1c3b325b55b70a7dc8babe1b1d1becbdc150eecbedf5e0e897536c5d3c971","last_reissued_at":"2026-05-18T00:30:29.306071Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:29.306071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.05640","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":"2026-05-18T00:30:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vlM0HOAfk67DTabKYzx0Jc9fU62gZGixmfrdgn9Vh/bbIUS1gcSMAK04wo/DtTnJVNfGhK23LFegzPHS9mGWDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:57:07.881811Z"},"content_sha256":"5169f75c2541fba2e4fdbc6f4a44a611a96627ec8409388dc5c7ffd091c55d8e","schema_version":"1.0","event_id":"sha256:5169f75c2541fba2e4fdbc6f4a44a611a96627ec8409388dc5c7ffd091c55d8e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VHY4HMZFWVNXBJ64ROV6DMORX3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Contraction-based Observers using non-Euclidean Norms with an Application to Traffic Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Murat Arcak, Samuel Coogan","submitted_at":"2017-11-15T15:56:42Z","abstract_excerpt":"In this note, we study Luenberger-type full-state observers for nonlinear systems using contraction theory. We show that if the matrix measure of a suitably defined Jacobian matrix constructed from the dynamics of the system-observer interconnection is uniformly negative, then the state estimate converges exponentially to the actual state. This sufficient condition for convergence establishes that the distance between the estimate and state is infinitesimally contracting with respect to some norm on the state-space. In contrast to existing results for contraction-based observer design, we allo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05640","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":"2026-05-18T00:30:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ihJkDM1QHqgl9Knne88h9Mbd1IH2IoyGcG4kRTF1yRTSPR05iyegYEk9q+pKmjIcLIazmymt/75RbPMycOfWCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:57:07.882489Z"},"content_sha256":"313eaf3c74426a6568aa4bad52ecf1cc6f539015143f4b23745d5ffd60dc2b4e","schema_version":"1.0","event_id":"sha256:313eaf3c74426a6568aa4bad52ecf1cc6f539015143f4b23745d5ffd60dc2b4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VHY4HMZFWVNXBJ64ROV6DMORX3/bundle.json","state_url":"https://pith.science/pith/VHY4HMZFWVNXBJ64ROV6DMORX3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VHY4HMZFWVNXBJ64ROV6DMORX3/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":"2026-05-25T18:57:07Z","links":{"resolver":"https://pith.science/pith/VHY4HMZFWVNXBJ64ROV6DMORX3","bundle":"https://pith.science/pith/VHY4HMZFWVNXBJ64ROV6DMORX3/bundle.json","state":"https://pith.science/pith/VHY4HMZFWVNXBJ64ROV6DMORX3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VHY4HMZFWVNXBJ64ROV6DMORX3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VHY4HMZFWVNXBJ64ROV6DMORX3","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":"08c4909e63be9dcf52934bb7709b6d922d983c8175909987b1275abc13f6ba9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-11-15T15:56:42Z","title_canon_sha256":"d64b065d914ba3b4ad59363b0773cf033a673c13583f51610fb9d7b2948b0696"},"schema_version":"1.0","source":{"id":"1711.05640","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05640","created_at":"2026-05-18T00:30:29Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05640v1","created_at":"2026-05-18T00:30:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05640","created_at":"2026-05-18T00:30:29Z"},{"alias_kind":"pith_short_12","alias_value":"VHY4HMZFWVNX","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VHY4HMZFWVNXBJ64","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VHY4HMZF","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:313eaf3c74426a6568aa4bad52ecf1cc6f539015143f4b23745d5ffd60dc2b4e","target":"graph","created_at":"2026-05-18T00:30:29Z","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":"In this note, we study Luenberger-type full-state observers for nonlinear systems using contraction theory. We show that if the matrix measure of a suitably defined Jacobian matrix constructed from the dynamics of the system-observer interconnection is uniformly negative, then the state estimate converges exponentially to the actual state. This sufficient condition for convergence establishes that the distance between the estimate and state is infinitesimally contracting with respect to some norm on the state-space. In contrast to existing results for contraction-based observer design, we allo","authors_text":"Murat Arcak, Samuel Coogan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-11-15T15:56:42Z","title":"Contraction-based Observers using non-Euclidean Norms with an Application to Traffic Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05640","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":"sha256:5169f75c2541fba2e4fdbc6f4a44a611a96627ec8409388dc5c7ffd091c55d8e","target":"record","created_at":"2026-05-18T00:30:29Z","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":"08c4909e63be9dcf52934bb7709b6d922d983c8175909987b1275abc13f6ba9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-11-15T15:56:42Z","title_canon_sha256":"d64b065d914ba3b4ad59363b0773cf033a673c13583f51610fb9d7b2948b0696"},"schema_version":"1.0","source":{"id":"1711.05640","kind":"arxiv","version":1}},"canonical_sha256":"a9f1c3b325b55b70a7dc8babe1b1d1becbdc150eecbedf5e0e897536c5d3c971","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9f1c3b325b55b70a7dc8babe1b1d1becbdc150eecbedf5e0e897536c5d3c971","first_computed_at":"2026-05-18T00:30:29.306071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:29.306071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+r9y4FPApISJ50wtLIlzgFHQNnFGl7QUCvNSiun6SZuafPY0VszUdhHU9tnSIc30cezFLiIwhpraek+22lQbDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:29.306784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.05640","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5169f75c2541fba2e4fdbc6f4a44a611a96627ec8409388dc5c7ffd091c55d8e","sha256:313eaf3c74426a6568aa4bad52ecf1cc6f539015143f4b23745d5ffd60dc2b4e"],"state_sha256":"1e567b030128a95db8c97a032f06f4cb2d27286673eccc6c83c7bc475e4f5eb2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c7+aHohmMCWMwa1L1FyUPzL9CCDlKIMXZPUyAK20yf0oTtqwbBxBrAlaVJzANzCxGo98oT5cB24Cz/vZ7a74Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:57:07.888279Z","bundle_sha256":"90b70236ff978620795f78b03cf9543b7e5c138c67a911592488dafae6f2e89d"}}