{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:LQ7GMF4WLAFXQJHRV4LFUOYZJZ","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":"879e7275cfd74ba6f8a9094dda15b09ad02354ac956346d5770b6703922b1ecb","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2022-01-21T11:24:39Z","title_canon_sha256":"30d93b3b338b6bc4774429ce676d285750383efda0712908770c895c8fe9f65d"},"schema_version":"1.0","source":{"id":"2201.08648","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.08648","created_at":"2026-07-05T06:28:51Z"},{"alias_kind":"arxiv_version","alias_value":"2201.08648v2","created_at":"2026-07-05T06:28:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.08648","created_at":"2026-07-05T06:28:51Z"},{"alias_kind":"pith_short_12","alias_value":"LQ7GMF4WLAFX","created_at":"2026-07-05T06:28:51Z"},{"alias_kind":"pith_short_16","alias_value":"LQ7GMF4WLAFXQJHR","created_at":"2026-07-05T06:28:51Z"},{"alias_kind":"pith_short_8","alias_value":"LQ7GMF4W","created_at":"2026-07-05T06:28:51Z"}],"graph_snapshots":[{"event_id":"sha256:5cfd0f66fdbe45fe68555a968ea5b6a4242db9495ee887de9fd1bbd7f8375471","target":"graph","created_at":"2026-07-05T06:28:51Z","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/2201.08648/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a method to approximate the moments of a discrete-time stochastic polynomial system. Our method is built upon Carleman linearization with truncation. Specifically, we take a stochastic polynomial system with finitely many states and transform it into an infinite-dimensional system with linear deterministic dynamics, which describe the exact evolution of the moments of the original polynomial system. We then truncate this deterministic system to obtain a finite-dimensional linear system, and use it for moment approximation by iteratively propagating the moments along the finite-dimen","authors_text":"Ahmet Cetinkaya, Clovis Eberhart, J\\'er\\'emy Dubut, Sasinee Pruekprasert, Toru Takisaka","cross_cats":["cs.SY"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2022-01-21T11:24:39Z","title":"Moment Propagation of Polynomial Systems Through Carleman Linearization for Probabilistic Safety Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.08648","kind":"arxiv","version":2},"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":"sha256:5d9bee5b156ab5ac5ad7bf98b81274f913b7f748f347476183be508632d392c0","target":"record","created_at":"2026-07-05T06:28:51Z","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":"879e7275cfd74ba6f8a9094dda15b09ad02354ac956346d5770b6703922b1ecb","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2022-01-21T11:24:39Z","title_canon_sha256":"30d93b3b338b6bc4774429ce676d285750383efda0712908770c895c8fe9f65d"},"schema_version":"1.0","source":{"id":"2201.08648","kind":"arxiv","version":2}},"canonical_sha256":"5c3e661796580b7824f1af165a3b194e557b0cd73e27b0006120db8912dd8262","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c3e661796580b7824f1af165a3b194e557b0cd73e27b0006120db8912dd8262","first_computed_at":"2026-07-05T06:28:51.539568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:28:51.539568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1hUV67lzpgQMhOZKQ7eyPgPpGgysLYFIMP0uOxX5I4+FenIRdZydEiDdpGpR9f5LZDEgvr3RFtoLe1tFE1byAw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:28:51.540105Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.08648","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d9bee5b156ab5ac5ad7bf98b81274f913b7f748f347476183be508632d392c0","sha256:5cfd0f66fdbe45fe68555a968ea5b6a4242db9495ee887de9fd1bbd7f8375471"],"state_sha256":"bd4c912d8fc306fe901327dd432d22e1c607b1217791878d06e90e23ce0fd8f3"}