{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:BQCVPNH76SSI4V5IJTRMB4AHBR","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":"0f6b9c9d1aee3d02b58c0a8faa7dfa465e8c677bcf5452c38c09f9d3b626965a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-03-18T01:25:54Z","title_canon_sha256":"3e6760557d51a385a251a9fba91c6050fcab32e041a8696db522477afde35870"},"schema_version":"1.0","source":{"id":"2603.17256","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.17256","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"arxiv_version","alias_value":"2603.17256v2","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.17256","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"pith_short_12","alias_value":"BQCVPNH76SSI","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"pith_short_16","alias_value":"BQCVPNH76SSI4V5I","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"pith_short_8","alias_value":"BQCVPNH7","created_at":"2026-05-26T01:03:28Z"}],"graph_snapshots":[{"event_id":"sha256:e2e03a6b97d454c21bc0ab126a7918d968cc2bb835c212b758a06f101ee31340","target":"graph","created_at":"2026-05-26T01:03:28Z","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/2603.17256/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Behavioral systems define discrete-time LTI systems in terms of a set of trajectories, which forms a linear subspace. This subspace underlies the subspace predictor used in data-driven prediction and control. In practice, such subspaces are typically represented through data matrices. For robustness certification and uncertainty quantification, however, these matrix representations are coordinate-dependent and therefore do not provide a coordinate-free way to quantify uncertainty. In this work, we derive the first explicit prediction error bound in terms of behavioral distance between the true","authors_text":"Dian Jin, Jeremy Coulson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-03-18T01:25:54Z","title":"On the sensitivity of the subspace predictor to behavioral perturbations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.17256","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":"sha256:407dcfef4be0bd49712fa2e749166e81e0cb5084e44c4a57f05fdc6e56d2582b","target":"record","created_at":"2026-05-26T01:03:28Z","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":"0f6b9c9d1aee3d02b58c0a8faa7dfa465e8c677bcf5452c38c09f9d3b626965a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-03-18T01:25:54Z","title_canon_sha256":"3e6760557d51a385a251a9fba91c6050fcab32e041a8696db522477afde35870"},"schema_version":"1.0","source":{"id":"2603.17256","kind":"arxiv","version":2}},"canonical_sha256":"0c0557b4fff4a48e57a84ce2c0f0070c7a0c3e0de50e3faedfba3d23afc4fde0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c0557b4fff4a48e57a84ce2c0f0070c7a0c3e0de50e3faedfba3d23afc4fde0","first_computed_at":"2026-05-26T01:03:28.008371Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T01:03:28.008371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3SXucvfPxyLOWvtxDMLHVsQgrwrA1BzAW2o+fOiIGyp6r4/P4s3txGZdnNM8+cwdeHUtKIcxAVCtbOqAOZbYAA==","signature_status":"signed_v1","signed_at":"2026-05-26T01:03:28.009161Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.17256","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:407dcfef4be0bd49712fa2e749166e81e0cb5084e44c4a57f05fdc6e56d2582b","sha256:e2e03a6b97d454c21bc0ab126a7918d968cc2bb835c212b758a06f101ee31340"],"state_sha256":"ddbe96ed2f375b4bbc89bee05c6764fb232fd8a85ed39dc12fae3beac516b95e"}