{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:7PVNVJAW62HXSJ6FHAIMU7RALQ","short_pith_number":"pith:7PVNVJAW","canonical_record":{"source":{"id":"2005.07254","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-05-14T20:49:32Z","cross_cats_sorted":[],"title_canon_sha256":"d3b31246e8580a12a68019a49c959e967ceabc9a32182fdf37e0becbcb1b2b18","abstract_canon_sha256":"867b05b682e37ec2d110ab6253d9457771970bcd353b5948cc5e6bf0d7538ff3"},"schema_version":"1.0"},"canonical_sha256":"fbeadaa416f68f7927c53810ca7e205c12b92f6da89b25004228349e3b95b8e9","source":{"kind":"arxiv","id":"2005.07254","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.07254","created_at":"2026-07-05T02:44:02Z"},{"alias_kind":"arxiv_version","alias_value":"2005.07254v3","created_at":"2026-07-05T02:44:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.07254","created_at":"2026-07-05T02:44:02Z"},{"alias_kind":"pith_short_12","alias_value":"7PVNVJAW62HX","created_at":"2026-07-05T02:44:02Z"},{"alias_kind":"pith_short_16","alias_value":"7PVNVJAW62HXSJ6F","created_at":"2026-07-05T02:44:02Z"},{"alias_kind":"pith_short_8","alias_value":"7PVNVJAW","created_at":"2026-07-05T02:44:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:7PVNVJAW62HXSJ6FHAIMU7RALQ","target":"record","payload":{"canonical_record":{"source":{"id":"2005.07254","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-05-14T20:49:32Z","cross_cats_sorted":[],"title_canon_sha256":"d3b31246e8580a12a68019a49c959e967ceabc9a32182fdf37e0becbcb1b2b18","abstract_canon_sha256":"867b05b682e37ec2d110ab6253d9457771970bcd353b5948cc5e6bf0d7538ff3"},"schema_version":"1.0"},"canonical_sha256":"fbeadaa416f68f7927c53810ca7e205c12b92f6da89b25004228349e3b95b8e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:44:02.586086Z","signature_b64":"il8VSbfBlMWTGMvyKnjm9eilWUKoM7en3cgYXP4bAICdkB0p29GnqWkeWUl5ueSwceieBwHsvLwr+HSrCafvDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbeadaa416f68f7927c53810ca7e205c12b92f6da89b25004228349e3b95b8e9","last_reissued_at":"2026-07-05T02:44:02.585450Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:44:02.585450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2005.07254","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:44:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I8gwpQk1sk0AoVhtc1PugKv1NiYClhQmO1QhJElbKWARYVo6HiOgyBtv+MTFlV6uzaTDn4aTdXuXEaOhp8CDCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T14:55:43.996027Z"},"content_sha256":"0490b6180d3eca9153d7acfa6559962c2cde502599d50cf6ed8aa35e6c6e1e9f","schema_version":"1.0","event_id":"sha256:0490b6180d3eca9153d7acfa6559962c2cde502599d50cf6ed8aa35e6c6e1e9f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:7PVNVJAW62HXSJ6FHAIMU7RALQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A functional analytic approach to infinite dimensional stochastic linear systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Fatima-Zahra Lahbiri, Said Hadd","submitted_at":"2020-05-14T20:49:32Z","abstract_excerpt":"In this paper, we study infinite dimensional stochastic systems having both unbounded control and observation operators. First of all, using a semigroup approach, we give another take of the well-posedness of such systems treated in [SIAM J. Control Optim., 53 (2015), pp. 3457--3482]. We further prove a result on the exact controllability of such systems. Second, we propose a new variation of constants formula for mild solutions of perturbed abstract stochastic Cauchy problems using the concept of Yosida extensions of admissible operators. Third, we prove the well-posedness of perturbed bounda"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.07254","kind":"arxiv","version":3},"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/2005.07254/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":"2026-07-05T02:44:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tVA37T56EccQoJgPFZCoXx942qWd70aWKwml1wnD+nR9g4LdyNkBnpWjPnreL8gfygiAgBQXKSh0vBh69GlsCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T14:55:43.997038Z"},"content_sha256":"f3b94b415f22eb659d17a999cb7875af7e7ae30c72b616aef7bed4ff099e80a6","schema_version":"1.0","event_id":"sha256:f3b94b415f22eb659d17a999cb7875af7e7ae30c72b616aef7bed4ff099e80a6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7PVNVJAW62HXSJ6FHAIMU7RALQ/bundle.json","state_url":"https://pith.science/pith/7PVNVJAW62HXSJ6FHAIMU7RALQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7PVNVJAW62HXSJ6FHAIMU7RALQ/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":"2026-08-11T14:55:44Z","links":{"resolver":"https://pith.science/pith/7PVNVJAW62HXSJ6FHAIMU7RALQ","bundle":"https://pith.science/pith/7PVNVJAW62HXSJ6FHAIMU7RALQ/bundle.json","state":"https://pith.science/pith/7PVNVJAW62HXSJ6FHAIMU7RALQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7PVNVJAW62HXSJ6FHAIMU7RALQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:7PVNVJAW62HXSJ6FHAIMU7RALQ","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":"867b05b682e37ec2d110ab6253d9457771970bcd353b5948cc5e6bf0d7538ff3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-05-14T20:49:32Z","title_canon_sha256":"d3b31246e8580a12a68019a49c959e967ceabc9a32182fdf37e0becbcb1b2b18"},"schema_version":"1.0","source":{"id":"2005.07254","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.07254","created_at":"2026-07-05T02:44:02Z"},{"alias_kind":"arxiv_version","alias_value":"2005.07254v3","created_at":"2026-07-05T02:44:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.07254","created_at":"2026-07-05T02:44:02Z"},{"alias_kind":"pith_short_12","alias_value":"7PVNVJAW62HX","created_at":"2026-07-05T02:44:02Z"},{"alias_kind":"pith_short_16","alias_value":"7PVNVJAW62HXSJ6F","created_at":"2026-07-05T02:44:02Z"},{"alias_kind":"pith_short_8","alias_value":"7PVNVJAW","created_at":"2026-07-05T02:44:02Z"}],"graph_snapshots":[{"event_id":"sha256:f3b94b415f22eb659d17a999cb7875af7e7ae30c72b616aef7bed4ff099e80a6","target":"graph","created_at":"2026-07-05T02:44:02Z","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/2005.07254/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study infinite dimensional stochastic systems having both unbounded control and observation operators. First of all, using a semigroup approach, we give another take of the well-posedness of such systems treated in [SIAM J. Control Optim., 53 (2015), pp. 3457--3482]. We further prove a result on the exact controllability of such systems. Second, we propose a new variation of constants formula for mild solutions of perturbed abstract stochastic Cauchy problems using the concept of Yosida extensions of admissible operators. Third, we prove the well-posedness of perturbed bounda","authors_text":"Fatima-Zahra Lahbiri, Said Hadd","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-05-14T20:49:32Z","title":"A functional analytic approach to infinite dimensional stochastic linear systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.07254","kind":"arxiv","version":3},"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":"sha256:0490b6180d3eca9153d7acfa6559962c2cde502599d50cf6ed8aa35e6c6e1e9f","target":"record","created_at":"2026-07-05T02:44:02Z","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":"867b05b682e37ec2d110ab6253d9457771970bcd353b5948cc5e6bf0d7538ff3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-05-14T20:49:32Z","title_canon_sha256":"d3b31246e8580a12a68019a49c959e967ceabc9a32182fdf37e0becbcb1b2b18"},"schema_version":"1.0","source":{"id":"2005.07254","kind":"arxiv","version":3}},"canonical_sha256":"fbeadaa416f68f7927c53810ca7e205c12b92f6da89b25004228349e3b95b8e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbeadaa416f68f7927c53810ca7e205c12b92f6da89b25004228349e3b95b8e9","first_computed_at":"2026-07-05T02:44:02.585450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:44:02.585450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"il8VSbfBlMWTGMvyKnjm9eilWUKoM7en3cgYXP4bAICdkB0p29GnqWkeWUl5ueSwceieBwHsvLwr+HSrCafvDg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:44:02.586086Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.07254","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0490b6180d3eca9153d7acfa6559962c2cde502599d50cf6ed8aa35e6c6e1e9f","sha256:f3b94b415f22eb659d17a999cb7875af7e7ae30c72b616aef7bed4ff099e80a6"],"state_sha256":"34df61a379faa21add303f7ad6ca2cdfaa4b3c6ee05f18a754a9ec08c7602afd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mEbM2W3PKctZgjvE//2WWlXfCqYvhsR2K7fBsJ2Om/PVlihU4ne5GbhUPC1IzpgjKYjrsDURvNBmOOyZ42/BBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T14:55:44.003689Z","bundle_sha256":"e5a0d8b84e1a4e99fdf83165d0e3f4bd1ff949b4a525ce011e25bac9809d6236"}}