{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:H7TZARZRW2QXFQRK5YS3FWWUTN","short_pith_number":"pith:H7TZARZR","canonical_record":{"source":{"id":"1711.05024","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-14T09:44:29Z","cross_cats_sorted":[],"title_canon_sha256":"e9b8b0b40ffbac9454db3621873390d804c56c770f0efcc2a435d6e38a64ca34","abstract_canon_sha256":"fe7b78d83f92b726f6b1dbc09078802fd26faf3a78a1dadcfd555787f8c79851"},"schema_version":"1.0"},"canonical_sha256":"3fe7904731b6a172c22aee25b2dad49b414b37d0eae542e03e1b84011c6a396e","source":{"kind":"arxiv","id":"1711.05024","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05024","created_at":"2026-05-18T00:30:35Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05024v1","created_at":"2026-05-18T00:30:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05024","created_at":"2026-05-18T00:30:35Z"},{"alias_kind":"pith_short_12","alias_value":"H7TZARZRW2QX","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"H7TZARZRW2QXFQRK","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"H7TZARZR","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:H7TZARZRW2QXFQRK5YS3FWWUTN","target":"record","payload":{"canonical_record":{"source":{"id":"1711.05024","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-14T09:44:29Z","cross_cats_sorted":[],"title_canon_sha256":"e9b8b0b40ffbac9454db3621873390d804c56c770f0efcc2a435d6e38a64ca34","abstract_canon_sha256":"fe7b78d83f92b726f6b1dbc09078802fd26faf3a78a1dadcfd555787f8c79851"},"schema_version":"1.0"},"canonical_sha256":"3fe7904731b6a172c22aee25b2dad49b414b37d0eae542e03e1b84011c6a396e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:35.141817Z","signature_b64":"lu8KgcsajM/LzC7ogLriEurIyb1Y3f2w6aGYAWNMB0nZS/HU7pq1NaljBSm3XY+dFHWRzm5MOjxQlkPC3+STBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fe7904731b6a172c22aee25b2dad49b414b37d0eae542e03e1b84011c6a396e","last_reissued_at":"2026-05-18T00:30:35.141125Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:35.141125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.05024","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":"2026-05-18T00:30:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9qeL9X1HUetYE+FSTEtgZJnSgH+2OoEIKXuL30IJr4mbq5k11CUHy2E+PfBuC/vfp6qQ4nGk1gX2MTGOOPK+Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:14:25.276370Z"},"content_sha256":"8bbe1d905172b763011ab063b679035c8c8afd0eee690ff601962de71850752b","schema_version":"1.0","event_id":"sha256:8bbe1d905172b763011ab063b679035c8c8afd0eee690ff601962de71850752b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:H7TZARZRW2QXFQRK5YS3FWWUTN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On ISS-Lyapunov functions for infinite-dimensional linear control systems subject to saturations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christophe Prieur (GIPSA-SYSCO), Swann Marx (LAAS-MAC), Yacine Chitour","submitted_at":"2017-11-14T09:44:29Z","abstract_excerpt":"- This article deals with the derivation of ISS-Lyapunov functions for infinite-dimensional linear systems subject to saturations. Two cases are considered: 1) the saturation acts in the same space as the control space; 2) the saturation acts in another space, especially a Banach space. For the first case, an explicit ISS-Lyapunov function can be derived. For the second case, we can only ensure the existence of an ISS-Lyapunov function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05024","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":"2026-05-18T00:30:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pH2WNR0GKwD1dQH9rHSOYvIjPKse9uFYfxLZBnbUw/EFNU3I+boaP1XdS/ZSeEaQuOlEnWFnQAn830PnrMTbAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:14:25.276725Z"},"content_sha256":"48710c0cce9623bf76efb7493fb9eb6c3949ab82c30d3e1cee9796b50d94a0b8","schema_version":"1.0","event_id":"sha256:48710c0cce9623bf76efb7493fb9eb6c3949ab82c30d3e1cee9796b50d94a0b8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H7TZARZRW2QXFQRK5YS3FWWUTN/bundle.json","state_url":"https://pith.science/pith/H7TZARZRW2QXFQRK5YS3FWWUTN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H7TZARZRW2QXFQRK5YS3FWWUTN/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":"2026-06-01T21:14:25Z","links":{"resolver":"https://pith.science/pith/H7TZARZRW2QXFQRK5YS3FWWUTN","bundle":"https://pith.science/pith/H7TZARZRW2QXFQRK5YS3FWWUTN/bundle.json","state":"https://pith.science/pith/H7TZARZRW2QXFQRK5YS3FWWUTN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H7TZARZRW2QXFQRK5YS3FWWUTN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:H7TZARZRW2QXFQRK5YS3FWWUTN","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":"fe7b78d83f92b726f6b1dbc09078802fd26faf3a78a1dadcfd555787f8c79851","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-14T09:44:29Z","title_canon_sha256":"e9b8b0b40ffbac9454db3621873390d804c56c770f0efcc2a435d6e38a64ca34"},"schema_version":"1.0","source":{"id":"1711.05024","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05024","created_at":"2026-05-18T00:30:35Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05024v1","created_at":"2026-05-18T00:30:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05024","created_at":"2026-05-18T00:30:35Z"},{"alias_kind":"pith_short_12","alias_value":"H7TZARZRW2QX","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"H7TZARZRW2QXFQRK","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"H7TZARZR","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:48710c0cce9623bf76efb7493fb9eb6c3949ab82c30d3e1cee9796b50d94a0b8","target":"graph","created_at":"2026-05-18T00:30:35Z","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":"- This article deals with the derivation of ISS-Lyapunov functions for infinite-dimensional linear systems subject to saturations. Two cases are considered: 1) the saturation acts in the same space as the control space; 2) the saturation acts in another space, especially a Banach space. For the first case, an explicit ISS-Lyapunov function can be derived. For the second case, we can only ensure the existence of an ISS-Lyapunov function.","authors_text":"Christophe Prieur (GIPSA-SYSCO), Swann Marx (LAAS-MAC), Yacine Chitour","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-14T09:44:29Z","title":"On ISS-Lyapunov functions for infinite-dimensional linear control systems subject to saturations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05024","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":"sha256:8bbe1d905172b763011ab063b679035c8c8afd0eee690ff601962de71850752b","target":"record","created_at":"2026-05-18T00:30:35Z","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":"fe7b78d83f92b726f6b1dbc09078802fd26faf3a78a1dadcfd555787f8c79851","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-14T09:44:29Z","title_canon_sha256":"e9b8b0b40ffbac9454db3621873390d804c56c770f0efcc2a435d6e38a64ca34"},"schema_version":"1.0","source":{"id":"1711.05024","kind":"arxiv","version":1}},"canonical_sha256":"3fe7904731b6a172c22aee25b2dad49b414b37d0eae542e03e1b84011c6a396e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fe7904731b6a172c22aee25b2dad49b414b37d0eae542e03e1b84011c6a396e","first_computed_at":"2026-05-18T00:30:35.141125Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:35.141125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lu8KgcsajM/LzC7ogLriEurIyb1Y3f2w6aGYAWNMB0nZS/HU7pq1NaljBSm3XY+dFHWRzm5MOjxQlkPC3+STBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:35.141817Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.05024","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bbe1d905172b763011ab063b679035c8c8afd0eee690ff601962de71850752b","sha256:48710c0cce9623bf76efb7493fb9eb6c3949ab82c30d3e1cee9796b50d94a0b8"],"state_sha256":"729f04975d4267c2ba64ce15a2674b6d00e4024c6ca1511cf6451a6ed304d8c4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AbxaRn1FX2BU6GKp7IHn51FjVGkZFyHtkogtGMxPaqv1NnQPqeY7uhxCQYOzH1iJE6YHMZBtzugw73F7k8RfBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:14:25.278653Z","bundle_sha256":"13bdc7b83e02360dc6b897c2c141260cacf22c4e43200b480a763cc2ec352e3d"}}