{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:MWZT4DINH6AEI2JFXIXGITU7MB","short_pith_number":"pith:MWZT4DIN","canonical_record":{"source":{"id":"2406.15099","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-06-21T12:27:20Z","cross_cats_sorted":["cs.SY","eess.SY","math.CA"],"title_canon_sha256":"1938f142c9ae4915e2cbbbd1fae89cc9ac2b477c89d03087970eca09314fff4c","abstract_canon_sha256":"cc4f518bbf7458766e541ba1256815285840e00bf6e2977faae22a09d7e33969"},"schema_version":"1.0"},"canonical_sha256":"65b33e0d0d3f80446925ba2e644e9f6066d5adacf9044f69455040e76f38e618","source":{"kind":"arxiv","id":"2406.15099","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.15099","created_at":"2026-07-05T08:35:13Z"},{"alias_kind":"arxiv_version","alias_value":"2406.15099v1","created_at":"2026-07-05T08:35:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.15099","created_at":"2026-07-05T08:35:13Z"},{"alias_kind":"pith_short_12","alias_value":"MWZT4DINH6AE","created_at":"2026-07-05T08:35:13Z"},{"alias_kind":"pith_short_16","alias_value":"MWZT4DINH6AEI2JF","created_at":"2026-07-05T08:35:13Z"},{"alias_kind":"pith_short_8","alias_value":"MWZT4DIN","created_at":"2026-07-05T08:35:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:MWZT4DINH6AEI2JFXIXGITU7MB","target":"record","payload":{"canonical_record":{"source":{"id":"2406.15099","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-06-21T12:27:20Z","cross_cats_sorted":["cs.SY","eess.SY","math.CA"],"title_canon_sha256":"1938f142c9ae4915e2cbbbd1fae89cc9ac2b477c89d03087970eca09314fff4c","abstract_canon_sha256":"cc4f518bbf7458766e541ba1256815285840e00bf6e2977faae22a09d7e33969"},"schema_version":"1.0"},"canonical_sha256":"65b33e0d0d3f80446925ba2e644e9f6066d5adacf9044f69455040e76f38e618","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:35:13.995460Z","signature_b64":"21+RFL37Qk1OFVirqD1J84ab7Hd8rBtbDMUV2mDEsWYZsGHCQIZVyTalEewXOBvvW55F6/4LtrIQWqqwz4fuCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65b33e0d0d3f80446925ba2e644e9f6066d5adacf9044f69455040e76f38e618","last_reissued_at":"2026-07-05T08:35:13.995008Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:35:13.995008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.15099","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":"2026-07-05T08:35:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+BtVKb4wc2UysrKcSrEQ/j6e1p6bVfmrWGjTymS9DPF+kGUzO9Dh4Vn4IK9b9b5oYIEYvPVy9gZJ9YUDlI9ABA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T15:43:58.050717Z"},"content_sha256":"50436da84498ebe2e4c7123da8b55f4feb3b1b2847eca33569b2882e61ff1f7a","schema_version":"1.0","event_id":"sha256:50436da84498ebe2e4c7123da8b55f4feb3b1b2847eca33569b2882e61ff1f7a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:MWZT4DINH6AEI2JFXIXGITU7MB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Passivity theorems for input-to-state stability of forced Lur'e inclusions and equations, and consequent entrainment-type properties","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY","eess.SY","math.CA"],"primary_cat":"math.OC","authors_text":"Chris Guiver","submitted_at":"2024-06-21T12:27:20Z","abstract_excerpt":"A suite of input-to-state stability results are presented for a class of forced differential inclusions, so-called Lur'e inclusions. As a consequence, semi-global incremental input-to-state stability results for systems of forced Lur'e differential equations are derived. The results are in the spirit of the passivity theorem from control theory as both the linear and nonlinear components of the Lur'e inclusion (or equation) are assumed to satisfy passivity-type conditions. These results provide a basis for the analysis of forced Lur'e differential equations subject to (almost) periodic forcing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.15099","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/2406.15099/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":"2026-07-05T08:35:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2/1vrXWUxlpvZepyb2fvICUHvgDekNv3Aa49vGTJvcyRdtplRdxhqJJ7w7UPbT4piO+69ktZSqtLgpCH0x8vDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T15:43:58.051254Z"},"content_sha256":"85218513f1a7e1aa12af21ca3f9817d872359209a6057db495c23686e650f2cb","schema_version":"1.0","event_id":"sha256:85218513f1a7e1aa12af21ca3f9817d872359209a6057db495c23686e650f2cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MWZT4DINH6AEI2JFXIXGITU7MB/bundle.json","state_url":"https://pith.science/pith/MWZT4DINH6AEI2JFXIXGITU7MB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MWZT4DINH6AEI2JFXIXGITU7MB/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":"2026-08-22T15:43:58Z","links":{"resolver":"https://pith.science/pith/MWZT4DINH6AEI2JFXIXGITU7MB","bundle":"https://pith.science/pith/MWZT4DINH6AEI2JFXIXGITU7MB/bundle.json","state":"https://pith.science/pith/MWZT4DINH6AEI2JFXIXGITU7MB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MWZT4DINH6AEI2JFXIXGITU7MB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MWZT4DINH6AEI2JFXIXGITU7MB","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":"cc4f518bbf7458766e541ba1256815285840e00bf6e2977faae22a09d7e33969","cross_cats_sorted":["cs.SY","eess.SY","math.CA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-06-21T12:27:20Z","title_canon_sha256":"1938f142c9ae4915e2cbbbd1fae89cc9ac2b477c89d03087970eca09314fff4c"},"schema_version":"1.0","source":{"id":"2406.15099","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.15099","created_at":"2026-07-05T08:35:13Z"},{"alias_kind":"arxiv_version","alias_value":"2406.15099v1","created_at":"2026-07-05T08:35:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.15099","created_at":"2026-07-05T08:35:13Z"},{"alias_kind":"pith_short_12","alias_value":"MWZT4DINH6AE","created_at":"2026-07-05T08:35:13Z"},{"alias_kind":"pith_short_16","alias_value":"MWZT4DINH6AEI2JF","created_at":"2026-07-05T08:35:13Z"},{"alias_kind":"pith_short_8","alias_value":"MWZT4DIN","created_at":"2026-07-05T08:35:13Z"}],"graph_snapshots":[{"event_id":"sha256:85218513f1a7e1aa12af21ca3f9817d872359209a6057db495c23686e650f2cb","target":"graph","created_at":"2026-07-05T08:35:13Z","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/2406.15099/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A suite of input-to-state stability results are presented for a class of forced differential inclusions, so-called Lur'e inclusions. As a consequence, semi-global incremental input-to-state stability results for systems of forced Lur'e differential equations are derived. The results are in the spirit of the passivity theorem from control theory as both the linear and nonlinear components of the Lur'e inclusion (or equation) are assumed to satisfy passivity-type conditions. These results provide a basis for the analysis of forced Lur'e differential equations subject to (almost) periodic forcing","authors_text":"Chris Guiver","cross_cats":["cs.SY","eess.SY","math.CA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-06-21T12:27:20Z","title":"Passivity theorems for input-to-state stability of forced Lur'e inclusions and equations, and consequent entrainment-type properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.15099","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":"sha256:50436da84498ebe2e4c7123da8b55f4feb3b1b2847eca33569b2882e61ff1f7a","target":"record","created_at":"2026-07-05T08:35:13Z","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":"cc4f518bbf7458766e541ba1256815285840e00bf6e2977faae22a09d7e33969","cross_cats_sorted":["cs.SY","eess.SY","math.CA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-06-21T12:27:20Z","title_canon_sha256":"1938f142c9ae4915e2cbbbd1fae89cc9ac2b477c89d03087970eca09314fff4c"},"schema_version":"1.0","source":{"id":"2406.15099","kind":"arxiv","version":1}},"canonical_sha256":"65b33e0d0d3f80446925ba2e644e9f6066d5adacf9044f69455040e76f38e618","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65b33e0d0d3f80446925ba2e644e9f6066d5adacf9044f69455040e76f38e618","first_computed_at":"2026-07-05T08:35:13.995008Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:35:13.995008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"21+RFL37Qk1OFVirqD1J84ab7Hd8rBtbDMUV2mDEsWYZsGHCQIZVyTalEewXOBvvW55F6/4LtrIQWqqwz4fuCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:35:13.995460Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.15099","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50436da84498ebe2e4c7123da8b55f4feb3b1b2847eca33569b2882e61ff1f7a","sha256:85218513f1a7e1aa12af21ca3f9817d872359209a6057db495c23686e650f2cb"],"state_sha256":"dcb684a257aa28d02f6f528299f2a92cbfb45ba906e5c2a35ead79c830aa1b5e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"etvI3ZmRenUvGqFELCpQLKwP157KJakzKAC4Xv2OkzccsfzMaV5KOXeHFQ3mDV2werlqDz1CdglRskvpbt9+BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T15:43:58.055038Z","bundle_sha256":"5f7a16513b09d5db46572838305f6f94503788f932748d5f5788a2c78e7f82a0"}}