{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:6MQTJV4V742VWYPEJCDPWFFXPE","short_pith_number":"pith:6MQTJV4V","canonical_record":{"source":{"id":"2607.01352","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2026-07-01T18:09:59Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"f2a2353ecef680bbb28e11de65117e9f46b56705944bd773a346a613e49ed435","abstract_canon_sha256":"92c7222998d7f465245f1dd30a56d824994d75417a6b9149177dfb10140c5c2a"},"schema_version":"1.0"},"canonical_sha256":"f32134d795ff355b61e44886fb14b779386d9d620a1aa3c9fc621b19ee36bd63","source":{"kind":"arxiv","id":"2607.01352","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.01352","created_at":"2026-07-03T00:16:58Z"},{"alias_kind":"arxiv_version","alias_value":"2607.01352v1","created_at":"2026-07-03T00:16:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01352","created_at":"2026-07-03T00:16:58Z"},{"alias_kind":"pith_short_12","alias_value":"6MQTJV4V742V","created_at":"2026-07-03T00:16:58Z"},{"alias_kind":"pith_short_16","alias_value":"6MQTJV4V742VWYPE","created_at":"2026-07-03T00:16:58Z"},{"alias_kind":"pith_short_8","alias_value":"6MQTJV4V","created_at":"2026-07-03T00:16:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:6MQTJV4V742VWYPEJCDPWFFXPE","target":"record","payload":{"canonical_record":{"source":{"id":"2607.01352","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2026-07-01T18:09:59Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"f2a2353ecef680bbb28e11de65117e9f46b56705944bd773a346a613e49ed435","abstract_canon_sha256":"92c7222998d7f465245f1dd30a56d824994d75417a6b9149177dfb10140c5c2a"},"schema_version":"1.0"},"canonical_sha256":"f32134d795ff355b61e44886fb14b779386d9d620a1aa3c9fc621b19ee36bd63","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-03T00:16:58.105934Z","signature_b64":"1FffBHgRyQnuc1sHA8PYtzC3kjG9QR1/V83DzN8xc94fAZ2Zy8Ok8G1It6hHvmHPF/Dy2f10ZRN9P0ymblAWAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f32134d795ff355b61e44886fb14b779386d9d620a1aa3c9fc621b19ee36bd63","last_reissued_at":"2026-07-03T00:16:58.105589Z","signature_status":"signed_v1","first_computed_at":"2026-07-03T00:16:58.105589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.01352","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":"2026-07-03T00:16:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"svcWnJoIeWBW1l7btMEVMLuJlyVonrm1yld4m1eb3r2XVpYvd/GP/P4224YvAHjxkYy5uxoHPiTJaIluviU7BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:16:34.447369Z"},"content_sha256":"7308f81f5a5d7eb6db97fc618e758b8267b83ddf9ab6ec4b45ff6c06be6769a5","schema_version":"1.0","event_id":"sha256:7308f81f5a5d7eb6db97fc618e758b8267b83ddf9ab6ec4b45ff6c06be6769a5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:6MQTJV4V742VWYPEJCDPWFFXPE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reachability Analysis With Probabilistic Zonotopes: Learning Realized Disturbances and Refining Aleatory Uncertainty","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Amir Modares, Amr Alanwar, Hamidreza Modares, Themistoklis Charalambous, Zhen Zhang","submitted_at":"2026-07-01T18:09:59Z","abstract_excerpt":"This paper develops a data-driven reachability framework for linear systems whose disturbances are modeled by probabilistic zonotopes (PZs), combining bounded deterministic and Gaussian stochastic components. In contrast to methods that require a precisely known disturbance model (either purely deterministic or purely stochastic), we assume only a conservative prior PZ and refine it from data. The framework separates two uncertainty sources: realized disturbances, which act along the collected trajectory and govern the size of the data-consistent model set, and aleatory disturbances, which ent"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01352","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/2607.01352/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":"2026-07-03T00:16:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SZ6CG8w40pLoo3camtJ/Khr6FBjYZNCE/+MOfOQWS5qGsdyXcHZtNCcmC9RcPXSJHeAQamT1orx5i1VkZt9zCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:16:34.447765Z"},"content_sha256":"588074fc205e4cfee49012881fbf7037a346e06ae1e389ce81d2314667b59f5b","schema_version":"1.0","event_id":"sha256:588074fc205e4cfee49012881fbf7037a346e06ae1e389ce81d2314667b59f5b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6MQTJV4V742VWYPEJCDPWFFXPE/bundle.json","state_url":"https://pith.science/pith/6MQTJV4V742VWYPEJCDPWFFXPE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6MQTJV4V742VWYPEJCDPWFFXPE/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":"2026-07-07T12:16:34Z","links":{"resolver":"https://pith.science/pith/6MQTJV4V742VWYPEJCDPWFFXPE","bundle":"https://pith.science/pith/6MQTJV4V742VWYPEJCDPWFFXPE/bundle.json","state":"https://pith.science/pith/6MQTJV4V742VWYPEJCDPWFFXPE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6MQTJV4V742VWYPEJCDPWFFXPE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:6MQTJV4V742VWYPEJCDPWFFXPE","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":"92c7222998d7f465245f1dd30a56d824994d75417a6b9149177dfb10140c5c2a","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2026-07-01T18:09:59Z","title_canon_sha256":"f2a2353ecef680bbb28e11de65117e9f46b56705944bd773a346a613e49ed435"},"schema_version":"1.0","source":{"id":"2607.01352","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.01352","created_at":"2026-07-03T00:16:58Z"},{"alias_kind":"arxiv_version","alias_value":"2607.01352v1","created_at":"2026-07-03T00:16:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01352","created_at":"2026-07-03T00:16:58Z"},{"alias_kind":"pith_short_12","alias_value":"6MQTJV4V742V","created_at":"2026-07-03T00:16:58Z"},{"alias_kind":"pith_short_16","alias_value":"6MQTJV4V742VWYPE","created_at":"2026-07-03T00:16:58Z"},{"alias_kind":"pith_short_8","alias_value":"6MQTJV4V","created_at":"2026-07-03T00:16:58Z"}],"graph_snapshots":[{"event_id":"sha256:588074fc205e4cfee49012881fbf7037a346e06ae1e389ce81d2314667b59f5b","target":"graph","created_at":"2026-07-03T00:16:58Z","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/2607.01352/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper develops a data-driven reachability framework for linear systems whose disturbances are modeled by probabilistic zonotopes (PZs), combining bounded deterministic and Gaussian stochastic components. In contrast to methods that require a precisely known disturbance model (either purely deterministic or purely stochastic), we assume only a conservative prior PZ and refine it from data. The framework separates two uncertainty sources: realized disturbances, which act along the collected trajectory and govern the size of the data-consistent model set, and aleatory disturbances, which ent","authors_text":"Amir Modares, Amr Alanwar, Hamidreza Modares, Themistoklis Charalambous, Zhen Zhang","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2026-07-01T18:09:59Z","title":"Reachability Analysis With Probabilistic Zonotopes: Learning Realized Disturbances and Refining Aleatory Uncertainty"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01352","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":"sha256:7308f81f5a5d7eb6db97fc618e758b8267b83ddf9ab6ec4b45ff6c06be6769a5","target":"record","created_at":"2026-07-03T00:16:58Z","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":"92c7222998d7f465245f1dd30a56d824994d75417a6b9149177dfb10140c5c2a","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2026-07-01T18:09:59Z","title_canon_sha256":"f2a2353ecef680bbb28e11de65117e9f46b56705944bd773a346a613e49ed435"},"schema_version":"1.0","source":{"id":"2607.01352","kind":"arxiv","version":1}},"canonical_sha256":"f32134d795ff355b61e44886fb14b779386d9d620a1aa3c9fc621b19ee36bd63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f32134d795ff355b61e44886fb14b779386d9d620a1aa3c9fc621b19ee36bd63","first_computed_at":"2026-07-03T00:16:58.105589Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-03T00:16:58.105589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1FffBHgRyQnuc1sHA8PYtzC3kjG9QR1/V83DzN8xc94fAZ2Zy8Ok8G1It6hHvmHPF/Dy2f10ZRN9P0ymblAWAg==","signature_status":"signed_v1","signed_at":"2026-07-03T00:16:58.105934Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.01352","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7308f81f5a5d7eb6db97fc618e758b8267b83ddf9ab6ec4b45ff6c06be6769a5","sha256:588074fc205e4cfee49012881fbf7037a346e06ae1e389ce81d2314667b59f5b"],"state_sha256":"e08ab72d8d750f0fe352cd5b9e796bdc3a68ce0113c1ba22afbde2062b80d8df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"63c6yzICJf9wrbZaKjELylDaR46hUabIdcuW2atSituPhv1Ey0MCB1etqS124MGGCBisSbM0MrkRoTxoaZJuAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T12:16:34.449627Z","bundle_sha256":"081192d42ef40046b64ab7c66e0e34e43a0348d0ad06e75115017a6b906e91d4"}}