{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:DJK45XMB647FX2Z633UHTIZ6SW","short_pith_number":"pith:DJK45XMB","canonical_record":{"source":{"id":"1710.01645","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-10-04T15:05:29Z","cross_cats_sorted":["math.DS","math.OC"],"title_canon_sha256":"099e7a5f02947ce6545f9ef50959dad36bd80568a7ce863c7978f8efc4955bee","abstract_canon_sha256":"00dfc5347958f4455bb90830f050f47c467df8cc8244d4d8438908786f95c01f"},"schema_version":"1.0"},"canonical_sha256":"1a55cedd81f73e5beb3edee879a33e95bae9533f405078787395595d6c15d7a9","source":{"kind":"arxiv","id":"1710.01645","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01645","created_at":"2026-05-18T00:33:40Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01645v1","created_at":"2026-05-18T00:33:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01645","created_at":"2026-05-18T00:33:40Z"},{"alias_kind":"pith_short_12","alias_value":"DJK45XMB647F","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DJK45XMB647FX2Z6","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DJK45XMB","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:DJK45XMB647FX2Z633UHTIZ6SW","target":"record","payload":{"canonical_record":{"source":{"id":"1710.01645","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-10-04T15:05:29Z","cross_cats_sorted":["math.DS","math.OC"],"title_canon_sha256":"099e7a5f02947ce6545f9ef50959dad36bd80568a7ce863c7978f8efc4955bee","abstract_canon_sha256":"00dfc5347958f4455bb90830f050f47c467df8cc8244d4d8438908786f95c01f"},"schema_version":"1.0"},"canonical_sha256":"1a55cedd81f73e5beb3edee879a33e95bae9533f405078787395595d6c15d7a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:40.292551Z","signature_b64":"FGsA21J0YyQoNZu2qR3fPtkOy49+ZFApUP+L0gS9a4HySnpU5ObbF8h97vxC3lKX3pphyi3pxUmW8MC8oQTtAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a55cedd81f73e5beb3edee879a33e95bae9533f405078787395595d6c15d7a9","last_reissued_at":"2026-05-18T00:33:40.291835Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:40.291835Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.01645","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":"2026-05-18T00:33:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SonXk9h17ZPNzi+KjYtAwmOL2NAhPW/90jD/xX+AFiIg5E35D5AY/nF86MxHR6Ang2y9Ts9AqS4Ft5mEKWkHDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:05:14.515159Z"},"content_sha256":"839be12c28a4d5116f69589aa6ce43e421b4db50f3de374b391d9e5a67f65ecb","schema_version":"1.0","event_id":"sha256:839be12c28a4d5116f69589aa6ce43e421b4db50f3de374b391d9e5a67f65ecb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:DJK45XMB647FX2Z633UHTIZ6SW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analysis of Lur'e dominant systems in the frequency domain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.OC"],"primary_cat":"cs.SY","authors_text":"F. A. Miranda-Villatoro, F. Forni, R. Sepulchre","submitted_at":"2017-10-04T15:05:29Z","abstract_excerpt":"Frequency domain analysis of linear time-invariant (LTI) systems in feedback with static nonlinearities is a classical and fruitful topic of nonlinear systems theory. We generalize this approach beyond equilibrium stability analysis with the aim of characterizing feedback systems whose asymptotic behavior is low dimensional. We illustrate the theory with a generalization of the circle criterion for the analysis of multistable and oscillatory Lur'e feedback systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01645","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":"2026-05-18T00:33:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0X0up3FbsyF7yQ8CMczkSlJ6KS7Z/2IffkPgXhFaSW97AqHnXg+1FBIA66VNPbFFpsxLnnhveEXRgN/WkV+vAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:05:14.515535Z"},"content_sha256":"3aed7133fe64883cc4a155bc4597a6d4ae2c945df9e1f31a952c7fff32e81e69","schema_version":"1.0","event_id":"sha256:3aed7133fe64883cc4a155bc4597a6d4ae2c945df9e1f31a952c7fff32e81e69"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DJK45XMB647FX2Z633UHTIZ6SW/bundle.json","state_url":"https://pith.science/pith/DJK45XMB647FX2Z633UHTIZ6SW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DJK45XMB647FX2Z633UHTIZ6SW/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":"2026-06-02T10:05:14Z","links":{"resolver":"https://pith.science/pith/DJK45XMB647FX2Z633UHTIZ6SW","bundle":"https://pith.science/pith/DJK45XMB647FX2Z633UHTIZ6SW/bundle.json","state":"https://pith.science/pith/DJK45XMB647FX2Z633UHTIZ6SW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DJK45XMB647FX2Z633UHTIZ6SW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DJK45XMB647FX2Z633UHTIZ6SW","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":"00dfc5347958f4455bb90830f050f47c467df8cc8244d4d8438908786f95c01f","cross_cats_sorted":["math.DS","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-10-04T15:05:29Z","title_canon_sha256":"099e7a5f02947ce6545f9ef50959dad36bd80568a7ce863c7978f8efc4955bee"},"schema_version":"1.0","source":{"id":"1710.01645","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01645","created_at":"2026-05-18T00:33:40Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01645v1","created_at":"2026-05-18T00:33:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01645","created_at":"2026-05-18T00:33:40Z"},{"alias_kind":"pith_short_12","alias_value":"DJK45XMB647F","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DJK45XMB647FX2Z6","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DJK45XMB","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:3aed7133fe64883cc4a155bc4597a6d4ae2c945df9e1f31a952c7fff32e81e69","target":"graph","created_at":"2026-05-18T00:33:40Z","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":"Frequency domain analysis of linear time-invariant (LTI) systems in feedback with static nonlinearities is a classical and fruitful topic of nonlinear systems theory. We generalize this approach beyond equilibrium stability analysis with the aim of characterizing feedback systems whose asymptotic behavior is low dimensional. We illustrate the theory with a generalization of the circle criterion for the analysis of multistable and oscillatory Lur'e feedback systems.","authors_text":"F. A. Miranda-Villatoro, F. Forni, R. Sepulchre","cross_cats":["math.DS","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-10-04T15:05:29Z","title":"Analysis of Lur'e dominant systems in the frequency domain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01645","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":"sha256:839be12c28a4d5116f69589aa6ce43e421b4db50f3de374b391d9e5a67f65ecb","target":"record","created_at":"2026-05-18T00:33:40Z","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":"00dfc5347958f4455bb90830f050f47c467df8cc8244d4d8438908786f95c01f","cross_cats_sorted":["math.DS","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-10-04T15:05:29Z","title_canon_sha256":"099e7a5f02947ce6545f9ef50959dad36bd80568a7ce863c7978f8efc4955bee"},"schema_version":"1.0","source":{"id":"1710.01645","kind":"arxiv","version":1}},"canonical_sha256":"1a55cedd81f73e5beb3edee879a33e95bae9533f405078787395595d6c15d7a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a55cedd81f73e5beb3edee879a33e95bae9533f405078787395595d6c15d7a9","first_computed_at":"2026-05-18T00:33:40.291835Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:40.291835Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FGsA21J0YyQoNZu2qR3fPtkOy49+ZFApUP+L0gS9a4HySnpU5ObbF8h97vxC3lKX3pphyi3pxUmW8MC8oQTtAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:40.292551Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.01645","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:839be12c28a4d5116f69589aa6ce43e421b4db50f3de374b391d9e5a67f65ecb","sha256:3aed7133fe64883cc4a155bc4597a6d4ae2c945df9e1f31a952c7fff32e81e69"],"state_sha256":"89034334340f3518f5698486ca835c58b55e9ad7fd9c557aae3dd9edc9e6e515"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GjL+B6VKns5NEXUh8TeGyuTzGTKsRXrwythjsbiPh6/OjsXc1L+3N2vngHZBtsSGqNGaaAbSMYUnH1ZBXFhmBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T10:05:14.517454Z","bundle_sha256":"1f7cb54d4727347b7a7f189e5fa092c99023f64edc36897d4df7f913edec27d9"}}