{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:HGPOCMKENUST3FHSGYBKHCW434","short_pith_number":"pith:HGPOCMKE","canonical_record":{"source":{"id":"2210.13465","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-10-24T08:35:12Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"85c5c2f95d3aa3aaff3c8f4624937186e2d85b92f16d470aae1e2a0613f69a63","abstract_canon_sha256":"12a4f89823b87d329d55a636f6ea4a8e18d623a867dca8b54f21a66cbbeedf2c"},"schema_version":"1.0"},"canonical_sha256":"399ee131446d253d94f23602a38adcdf1610b4345dbaea055970e827efe73f26","source":{"kind":"arxiv","id":"2210.13465","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.13465","created_at":"2026-07-05T05:10:18Z"},{"alias_kind":"arxiv_version","alias_value":"2210.13465v1","created_at":"2026-07-05T05:10:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.13465","created_at":"2026-07-05T05:10:18Z"},{"alias_kind":"pith_short_12","alias_value":"HGPOCMKENUST","created_at":"2026-07-05T05:10:18Z"},{"alias_kind":"pith_short_16","alias_value":"HGPOCMKENUST3FHS","created_at":"2026-07-05T05:10:18Z"},{"alias_kind":"pith_short_8","alias_value":"HGPOCMKE","created_at":"2026-07-05T05:10:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:HGPOCMKENUST3FHSGYBKHCW434","target":"record","payload":{"canonical_record":{"source":{"id":"2210.13465","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-10-24T08:35:12Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"85c5c2f95d3aa3aaff3c8f4624937186e2d85b92f16d470aae1e2a0613f69a63","abstract_canon_sha256":"12a4f89823b87d329d55a636f6ea4a8e18d623a867dca8b54f21a66cbbeedf2c"},"schema_version":"1.0"},"canonical_sha256":"399ee131446d253d94f23602a38adcdf1610b4345dbaea055970e827efe73f26","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:10:18.740927Z","signature_b64":"v+ZtMY3iuvuRBO5gfnvaAmYnxTcNsRJydKvnp3NgQN+01Uqcn9+MCr37RMsQkM9PlcpnnoTfcA8YxMFzJwe0Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"399ee131446d253d94f23602a38adcdf1610b4345dbaea055970e827efe73f26","last_reissued_at":"2026-07-05T05:10:18.740511Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:10:18.740511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.13465","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":"2026-07-05T05:10:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ufmVW1AdcsCwd4YIOEArhce4KlCGumqrvvtKLKbz8N7OYqyl34GB3pLz4XDvX0Y5n2lffQ3CzKk+sXkgwYJAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T10:08:24.955925Z"},"content_sha256":"215a0bb1b7fc59826c0e3deebbe463e0d5bca9c36813b16345db5ab5865aa08e","schema_version":"1.0","event_id":"sha256:215a0bb1b7fc59826c0e3deebbe463e0d5bca9c36813b16345db5ab5865aa08e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:HGPOCMKENUST3FHSGYBKHCW434","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sliding mode control for a class of linear infinite-dimensional systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.AP","authors_text":"Franck Plestan, Isma\\\"ila Balogoun (Commande, LS2N), Swann Marx (LS2N)","submitted_at":"2022-10-24T08:35:12Z","abstract_excerpt":"This paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the closed-loop system globally asymptotically stable in the absence of disturbance. To achieve our objective, we follow a sliding mode strategy and we add another term to this controller in order to reject the disturbance. We prove the existence of solutions to the closed-loop system and its global asymptotic stability, while making sure the disturbance is rej"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.13465","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/2210.13465/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":"2026-07-05T05:10:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JL5gsEkwia4TJQmWQG6/LKhXhjsnt9iGz4F41d+M2AV0eQo6rRRJYea4OrthETpAywCzwiDWUQ368TY2PrKvBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T10:08:24.956445Z"},"content_sha256":"47d54b93e0954cde86c9770757a26f02a9ebd083698f029cf120f3dd2929cb4d","schema_version":"1.0","event_id":"sha256:47d54b93e0954cde86c9770757a26f02a9ebd083698f029cf120f3dd2929cb4d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HGPOCMKENUST3FHSGYBKHCW434/bundle.json","state_url":"https://pith.science/pith/HGPOCMKENUST3FHSGYBKHCW434/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HGPOCMKENUST3FHSGYBKHCW434/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":"2026-08-08T10:08:24Z","links":{"resolver":"https://pith.science/pith/HGPOCMKENUST3FHSGYBKHCW434","bundle":"https://pith.science/pith/HGPOCMKENUST3FHSGYBKHCW434/bundle.json","state":"https://pith.science/pith/HGPOCMKENUST3FHSGYBKHCW434/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HGPOCMKENUST3FHSGYBKHCW434/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:HGPOCMKENUST3FHSGYBKHCW434","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":"12a4f89823b87d329d55a636f6ea4a8e18d623a867dca8b54f21a66cbbeedf2c","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-10-24T08:35:12Z","title_canon_sha256":"85c5c2f95d3aa3aaff3c8f4624937186e2d85b92f16d470aae1e2a0613f69a63"},"schema_version":"1.0","source":{"id":"2210.13465","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.13465","created_at":"2026-07-05T05:10:18Z"},{"alias_kind":"arxiv_version","alias_value":"2210.13465v1","created_at":"2026-07-05T05:10:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.13465","created_at":"2026-07-05T05:10:18Z"},{"alias_kind":"pith_short_12","alias_value":"HGPOCMKENUST","created_at":"2026-07-05T05:10:18Z"},{"alias_kind":"pith_short_16","alias_value":"HGPOCMKENUST3FHS","created_at":"2026-07-05T05:10:18Z"},{"alias_kind":"pith_short_8","alias_value":"HGPOCMKE","created_at":"2026-07-05T05:10:18Z"}],"graph_snapshots":[{"event_id":"sha256:47d54b93e0954cde86c9770757a26f02a9ebd083698f029cf120f3dd2929cb4d","target":"graph","created_at":"2026-07-05T05:10:18Z","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/2210.13465/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the closed-loop system globally asymptotically stable in the absence of disturbance. To achieve our objective, we follow a sliding mode strategy and we add another term to this controller in order to reject the disturbance. We prove the existence of solutions to the closed-loop system and its global asymptotic stability, while making sure the disturbance is rej","authors_text":"Franck Plestan, Isma\\\"ila Balogoun (Commande, LS2N), Swann Marx (LS2N)","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-10-24T08:35:12Z","title":"Sliding mode control for a class of linear infinite-dimensional systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.13465","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":"sha256:215a0bb1b7fc59826c0e3deebbe463e0d5bca9c36813b16345db5ab5865aa08e","target":"record","created_at":"2026-07-05T05:10:18Z","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":"12a4f89823b87d329d55a636f6ea4a8e18d623a867dca8b54f21a66cbbeedf2c","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-10-24T08:35:12Z","title_canon_sha256":"85c5c2f95d3aa3aaff3c8f4624937186e2d85b92f16d470aae1e2a0613f69a63"},"schema_version":"1.0","source":{"id":"2210.13465","kind":"arxiv","version":1}},"canonical_sha256":"399ee131446d253d94f23602a38adcdf1610b4345dbaea055970e827efe73f26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"399ee131446d253d94f23602a38adcdf1610b4345dbaea055970e827efe73f26","first_computed_at":"2026-07-05T05:10:18.740511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:10:18.740511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v+ZtMY3iuvuRBO5gfnvaAmYnxTcNsRJydKvnp3NgQN+01Uqcn9+MCr37RMsQkM9PlcpnnoTfcA8YxMFzJwe0Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:10:18.740927Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.13465","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:215a0bb1b7fc59826c0e3deebbe463e0d5bca9c36813b16345db5ab5865aa08e","sha256:47d54b93e0954cde86c9770757a26f02a9ebd083698f029cf120f3dd2929cb4d"],"state_sha256":"e953324ebb6e2f99c6344437131e7bb3399237ee58596ca86e00dadd3c3e2b90"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gy8ZX3kJb7IijuldxG+r6sVU4ZbmqRk+6DA0I87TPAqL8OOSc63Nz1g0+i4ui4fu4dIBftCGGfUoZ+Ebh3J9CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T10:08:24.998391Z","bundle_sha256":"edebf003ce360d65e956cf7ed7ad0a0a9f6cd3924761cd9f427b8487330b6029"}}