{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:IAS2PQ2CLAN7IQKZRXU2F352UC","short_pith_number":"pith:IAS2PQ2C","canonical_record":{"source":{"id":"2507.11535","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-07-15T17:58:55Z","cross_cats_sorted":["cs.LG","cs.SY","eess.SY","stat.CO"],"title_canon_sha256":"8aa2d0e57d0a57930db6950cda3ac6a9ba0dc46bbaaa54012aa92e6bb0c59360","abstract_canon_sha256":"1393eb64ee0409e17f232efd59332a1cab8100e802f91644807e678a94a3e9bd"},"schema_version":"1.0"},"canonical_sha256":"4025a7c342581bf441598de9a2efbaa0987337fd81838f1ff1779a0d8c16ae47","source":{"kind":"arxiv","id":"2507.11535","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.11535","created_at":"2026-07-05T12:00:50Z"},{"alias_kind":"arxiv_version","alias_value":"2507.11535v2","created_at":"2026-07-05T12:00:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.11535","created_at":"2026-07-05T12:00:50Z"},{"alias_kind":"pith_short_12","alias_value":"IAS2PQ2CLAN7","created_at":"2026-07-05T12:00:50Z"},{"alias_kind":"pith_short_16","alias_value":"IAS2PQ2CLAN7IQKZ","created_at":"2026-07-05T12:00:50Z"},{"alias_kind":"pith_short_8","alias_value":"IAS2PQ2C","created_at":"2026-07-05T12:00:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:IAS2PQ2CLAN7IQKZRXU2F352UC","target":"record","payload":{"canonical_record":{"source":{"id":"2507.11535","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-07-15T17:58:55Z","cross_cats_sorted":["cs.LG","cs.SY","eess.SY","stat.CO"],"title_canon_sha256":"8aa2d0e57d0a57930db6950cda3ac6a9ba0dc46bbaaa54012aa92e6bb0c59360","abstract_canon_sha256":"1393eb64ee0409e17f232efd59332a1cab8100e802f91644807e678a94a3e9bd"},"schema_version":"1.0"},"canonical_sha256":"4025a7c342581bf441598de9a2efbaa0987337fd81838f1ff1779a0d8c16ae47","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:00:50.910382Z","signature_b64":"OZ9Xfj0kXVsu6BqdQPpwbHsRTH3Fe2kSnH5NMl6wheNzLhGN6nzePTdMi4laspHLNpv5kz3JodJBNRi5LKRwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4025a7c342581bf441598de9a2efbaa0987337fd81838f1ff1779a0d8c16ae47","last_reissued_at":"2026-07-05T12:00:50.909801Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:00:50.909801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.11535","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T12:00:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ijgyAVqXrx/K/DV4HxJsbCIW4+zBON0l+OM9ySB7GEkEsEcjiJ+jSVfbDQOn9IYoqphrEXiUxNJano13c8QVCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T11:53:13.628472Z"},"content_sha256":"cdf85f5b5b60e2f06171c5e8e30764039010c44c9abf47a94083359a7d294a3c","schema_version":"1.0","event_id":"sha256:cdf85f5b5b60e2f06171c5e8e30764039010c44c9abf47a94083359a7d294a3c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:IAS2PQ2CLAN7IQKZRXU2F352UC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Canonical Bayesian Linear System Identification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","cs.SY","eess.SY","stat.CO"],"primary_cat":"stat.ML","authors_text":"Andrey Bryutkin, I\\~nigo Urteaga, Matthew E. Levine, Youssef Marzouk","submitted_at":"2025-07-15T17:58:55Z","abstract_excerpt":"Standard Bayesian approaches for linear time-invariant (LTI) system identification are hindered by parameter non-identifiability; the resulting complex, multi-modal posteriors make inference inefficient and impractical. We solve this problem by embedding canonical forms of LTI systems within the Bayesian framework. We rigorously establish that inference in these minimal parameterizations fully captures all invariant system dynamics (e.g., transfer functions, eigenvalues, predictive distributions of system outputs) while resolving identifiability. This approach unlocks the use of meaningful, st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.11535","kind":"arxiv","version":2},"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/2507.11535/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":"2026-07-05T12:00:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rdqRQ1+pJwGuFspfZq9OG36cNXJ5YI3yYzFy1+l6GasCmDqqivWtmesYxs8/e2AqCQwqpReKVO1CiDJ+BxkdCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T11:53:13.629020Z"},"content_sha256":"4c9eb0688b665e6241967f9b9f73906f959932062486da57ba14341c05cd555a","schema_version":"1.0","event_id":"sha256:4c9eb0688b665e6241967f9b9f73906f959932062486da57ba14341c05cd555a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IAS2PQ2CLAN7IQKZRXU2F352UC/bundle.json","state_url":"https://pith.science/pith/IAS2PQ2CLAN7IQKZRXU2F352UC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IAS2PQ2CLAN7IQKZRXU2F352UC/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":"2026-08-07T11:53:13Z","links":{"resolver":"https://pith.science/pith/IAS2PQ2CLAN7IQKZRXU2F352UC","bundle":"https://pith.science/pith/IAS2PQ2CLAN7IQKZRXU2F352UC/bundle.json","state":"https://pith.science/pith/IAS2PQ2CLAN7IQKZRXU2F352UC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IAS2PQ2CLAN7IQKZRXU2F352UC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IAS2PQ2CLAN7IQKZRXU2F352UC","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":"1393eb64ee0409e17f232efd59332a1cab8100e802f91644807e678a94a3e9bd","cross_cats_sorted":["cs.LG","cs.SY","eess.SY","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-07-15T17:58:55Z","title_canon_sha256":"8aa2d0e57d0a57930db6950cda3ac6a9ba0dc46bbaaa54012aa92e6bb0c59360"},"schema_version":"1.0","source":{"id":"2507.11535","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.11535","created_at":"2026-07-05T12:00:50Z"},{"alias_kind":"arxiv_version","alias_value":"2507.11535v2","created_at":"2026-07-05T12:00:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.11535","created_at":"2026-07-05T12:00:50Z"},{"alias_kind":"pith_short_12","alias_value":"IAS2PQ2CLAN7","created_at":"2026-07-05T12:00:50Z"},{"alias_kind":"pith_short_16","alias_value":"IAS2PQ2CLAN7IQKZ","created_at":"2026-07-05T12:00:50Z"},{"alias_kind":"pith_short_8","alias_value":"IAS2PQ2C","created_at":"2026-07-05T12:00:50Z"}],"graph_snapshots":[{"event_id":"sha256:4c9eb0688b665e6241967f9b9f73906f959932062486da57ba14341c05cd555a","target":"graph","created_at":"2026-07-05T12:00:50Z","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/2507.11535/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Standard Bayesian approaches for linear time-invariant (LTI) system identification are hindered by parameter non-identifiability; the resulting complex, multi-modal posteriors make inference inefficient and impractical. We solve this problem by embedding canonical forms of LTI systems within the Bayesian framework. We rigorously establish that inference in these minimal parameterizations fully captures all invariant system dynamics (e.g., transfer functions, eigenvalues, predictive distributions of system outputs) while resolving identifiability. This approach unlocks the use of meaningful, st","authors_text":"Andrey Bryutkin, I\\~nigo Urteaga, Matthew E. Levine, Youssef Marzouk","cross_cats":["cs.LG","cs.SY","eess.SY","stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-07-15T17:58:55Z","title":"Canonical Bayesian Linear System Identification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.11535","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:cdf85f5b5b60e2f06171c5e8e30764039010c44c9abf47a94083359a7d294a3c","target":"record","created_at":"2026-07-05T12:00:50Z","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":"1393eb64ee0409e17f232efd59332a1cab8100e802f91644807e678a94a3e9bd","cross_cats_sorted":["cs.LG","cs.SY","eess.SY","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-07-15T17:58:55Z","title_canon_sha256":"8aa2d0e57d0a57930db6950cda3ac6a9ba0dc46bbaaa54012aa92e6bb0c59360"},"schema_version":"1.0","source":{"id":"2507.11535","kind":"arxiv","version":2}},"canonical_sha256":"4025a7c342581bf441598de9a2efbaa0987337fd81838f1ff1779a0d8c16ae47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4025a7c342581bf441598de9a2efbaa0987337fd81838f1ff1779a0d8c16ae47","first_computed_at":"2026-07-05T12:00:50.909801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:00:50.909801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OZ9Xfj0kXVsu6BqdQPpwbHsRTH3Fe2kSnH5NMl6wheNzLhGN6nzePTdMi4laspHLNpv5kz3JodJBNRi5LKRwBw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:00:50.910382Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.11535","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cdf85f5b5b60e2f06171c5e8e30764039010c44c9abf47a94083359a7d294a3c","sha256:4c9eb0688b665e6241967f9b9f73906f959932062486da57ba14341c05cd555a"],"state_sha256":"52eff41ba77d244350539a48a941454288af0404f46e743c0fa2a60a1837a17a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J20V/augQszfBewyMR0J6Dv9+7wiQ26Js5gMCX2xafmeW366qcBpMCq2ASuOTeame/sk4bD/E9NJa0Q9ZdQQCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T11:53:13.633000Z","bundle_sha256":"0fa6dfdbd6f8158e816290ebebddeeb98fbbcc74433291ca1bffa4bd214c9373"}}