{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FHKSJRT6OPGW7APQUJRGXV2RNM","short_pith_number":"pith:FHKSJRT6","canonical_record":{"source":{"id":"1611.08327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-11-25T00:13:40Z","cross_cats_sorted":[],"title_canon_sha256":"4751524fcaa9a6e22256ce8f682b9cb3bff642ca4add6c9cbcdb0bb5f72626d8","abstract_canon_sha256":"417e407107b23d29351f8d790a4fccf8833b39dd4e02065fc31c1b8054edc721"},"schema_version":"1.0"},"canonical_sha256":"29d524c67e73cd6f81f0a2626bd7516b22117ad7eec0a2bb0ced30e4bda2cb1e","source":{"kind":"arxiv","id":"1611.08327","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08327","created_at":"2026-05-18T00:31:59Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08327v1","created_at":"2026-05-18T00:31:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08327","created_at":"2026-05-18T00:31:59Z"},{"alias_kind":"pith_short_12","alias_value":"FHKSJRT6OPGW","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FHKSJRT6OPGW7APQ","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FHKSJRT6","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FHKSJRT6OPGW7APQUJRGXV2RNM","target":"record","payload":{"canonical_record":{"source":{"id":"1611.08327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-11-25T00:13:40Z","cross_cats_sorted":[],"title_canon_sha256":"4751524fcaa9a6e22256ce8f682b9cb3bff642ca4add6c9cbcdb0bb5f72626d8","abstract_canon_sha256":"417e407107b23d29351f8d790a4fccf8833b39dd4e02065fc31c1b8054edc721"},"schema_version":"1.0"},"canonical_sha256":"29d524c67e73cd6f81f0a2626bd7516b22117ad7eec0a2bb0ced30e4bda2cb1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:59.043183Z","signature_b64":"IgcDatKl1aH1y3uLtqe0eDLQUQXYQ6WekRl/gGH4yJlxcQSA4x6UgSmGuJpg101lLx4Z6rYza4I3xdWU1ho5Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29d524c67e73cd6f81f0a2626bd7516b22117ad7eec0a2bb0ced30e4bda2cb1e","last_reissued_at":"2026-05-18T00:31:59.042809Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:59.042809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.08327","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":"2026-05-18T00:31:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y7fS6X1MrKXaEo+5jXjDKoAW1eMfAIT31OxBlt2FwPdERslmHmKiAxPuPAWYUnWyoohvUuGuHMIQ7rsOGnggCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:24:34.804341Z"},"content_sha256":"e118481394873662cd8b329715c1636bba8445fd624ab7f1554e215da6fb1d49","schema_version":"1.0","event_id":"sha256:e118481394873662cd8b329715c1636bba8445fd624ab7f1554e215da6fb1d49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FHKSJRT6OPGW7APQUJRGXV2RNM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Incremental stability of Lur'e systems through piecewise-affine approximations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"G\\'erard Scorletti, Laurent Bako, Paolo Massioni, S\\'ergio Waitman, Vincent Fromion","submitted_at":"2016-11-25T00:13:40Z","abstract_excerpt":"Lur'e-type nonlinear systems are virtually ubiquitous in applied control theory, which explains the great interest they have attracted throughout the years. The purpose of this paper is to propose conditions to assess incremental asymptotic stability of Lur'e systems that are less conservative than those obtained with the incremental circle criterion. The method is based on the approximation of the nonlinearity by a piecewise-affine function. The Lur'e system can then be rewritten as a so-called piecewise-affine Lur'e system, for which sufficient conditions for asymptotic incremental stability"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08327","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":"2026-05-18T00:31:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FZxioxqhLqljQ44D7w9FVBpVd8FSFGq2uE6W5g1RMRZx3xnuTNCWMXaHqQyAwGKWDGE8hnxLTQAM0AKbO5BxDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:24:34.804990Z"},"content_sha256":"7a948bce2fbeb33c05baa80f26d70cad9c27ad75bf73fd7de1d801f4dbaa6718","schema_version":"1.0","event_id":"sha256:7a948bce2fbeb33c05baa80f26d70cad9c27ad75bf73fd7de1d801f4dbaa6718"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FHKSJRT6OPGW7APQUJRGXV2RNM/bundle.json","state_url":"https://pith.science/pith/FHKSJRT6OPGW7APQUJRGXV2RNM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FHKSJRT6OPGW7APQUJRGXV2RNM/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":"2026-05-27T21:24:34Z","links":{"resolver":"https://pith.science/pith/FHKSJRT6OPGW7APQUJRGXV2RNM","bundle":"https://pith.science/pith/FHKSJRT6OPGW7APQUJRGXV2RNM/bundle.json","state":"https://pith.science/pith/FHKSJRT6OPGW7APQUJRGXV2RNM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FHKSJRT6OPGW7APQUJRGXV2RNM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FHKSJRT6OPGW7APQUJRGXV2RNM","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":"417e407107b23d29351f8d790a4fccf8833b39dd4e02065fc31c1b8054edc721","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-11-25T00:13:40Z","title_canon_sha256":"4751524fcaa9a6e22256ce8f682b9cb3bff642ca4add6c9cbcdb0bb5f72626d8"},"schema_version":"1.0","source":{"id":"1611.08327","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08327","created_at":"2026-05-18T00:31:59Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08327v1","created_at":"2026-05-18T00:31:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08327","created_at":"2026-05-18T00:31:59Z"},{"alias_kind":"pith_short_12","alias_value":"FHKSJRT6OPGW","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FHKSJRT6OPGW7APQ","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FHKSJRT6","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:7a948bce2fbeb33c05baa80f26d70cad9c27ad75bf73fd7de1d801f4dbaa6718","target":"graph","created_at":"2026-05-18T00:31:59Z","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"},"paper":{"abstract_excerpt":"Lur'e-type nonlinear systems are virtually ubiquitous in applied control theory, which explains the great interest they have attracted throughout the years. The purpose of this paper is to propose conditions to assess incremental asymptotic stability of Lur'e systems that are less conservative than those obtained with the incremental circle criterion. The method is based on the approximation of the nonlinearity by a piecewise-affine function. The Lur'e system can then be rewritten as a so-called piecewise-affine Lur'e system, for which sufficient conditions for asymptotic incremental stability","authors_text":"G\\'erard Scorletti, Laurent Bako, Paolo Massioni, S\\'ergio Waitman, Vincent Fromion","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-11-25T00:13:40Z","title":"Incremental stability of Lur'e systems through piecewise-affine approximations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08327","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:e118481394873662cd8b329715c1636bba8445fd624ab7f1554e215da6fb1d49","target":"record","created_at":"2026-05-18T00:31:59Z","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":"417e407107b23d29351f8d790a4fccf8833b39dd4e02065fc31c1b8054edc721","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-11-25T00:13:40Z","title_canon_sha256":"4751524fcaa9a6e22256ce8f682b9cb3bff642ca4add6c9cbcdb0bb5f72626d8"},"schema_version":"1.0","source":{"id":"1611.08327","kind":"arxiv","version":1}},"canonical_sha256":"29d524c67e73cd6f81f0a2626bd7516b22117ad7eec0a2bb0ced30e4bda2cb1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29d524c67e73cd6f81f0a2626bd7516b22117ad7eec0a2bb0ced30e4bda2cb1e","first_computed_at":"2026-05-18T00:31:59.042809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:59.042809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IgcDatKl1aH1y3uLtqe0eDLQUQXYQ6WekRl/gGH4yJlxcQSA4x6UgSmGuJpg101lLx4Z6rYza4I3xdWU1ho5Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:59.043183Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.08327","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e118481394873662cd8b329715c1636bba8445fd624ab7f1554e215da6fb1d49","sha256:7a948bce2fbeb33c05baa80f26d70cad9c27ad75bf73fd7de1d801f4dbaa6718"],"state_sha256":"668d6c9359d09ba5aaae0d668bcd81154585f00cd114d3ed793f42c0fdcecc1b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y9SxCr451ofK4BJVdTS78IoFH2O63QK+Jr8OFK1Em36J415UnlP4zfPuhYeKZC3kmL3MclN5kOrZLrwF7ReNAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:24:34.808115Z","bundle_sha256":"dc55fc416b0a203ca8391700bd6248daae48a2de6c0ae40cf77151e39c765125"}}