{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:LT3JM2VAL7SNI2NIKISRCEIIRY","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":"f4f3f19a4f0a76c671ad115c7225569bdcb007525d405c16aab2c5a832659713","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2020-07-01T23:33:37Z","title_canon_sha256":"8ad5d8481293b7a959047d237408550d6daf95fe7d843769fd278329bd2fdbd6"},"schema_version":"1.0","source":{"id":"2007.00810","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.00810","created_at":"2026-07-05T01:17:08Z"},{"alias_kind":"arxiv_version","alias_value":"2007.00810v3","created_at":"2026-07-05T01:17:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.00810","created_at":"2026-07-05T01:17:08Z"},{"alias_kind":"pith_short_12","alias_value":"LT3JM2VAL7SN","created_at":"2026-07-05T01:17:08Z"},{"alias_kind":"pith_short_16","alias_value":"LT3JM2VAL7SNI2NI","created_at":"2026-07-05T01:17:08Z"},{"alias_kind":"pith_short_8","alias_value":"LT3JM2VA","created_at":"2026-07-05T01:17:08Z"}],"graph_snapshots":[{"event_id":"sha256:ccd74b5cd9a3c11a03d91207c8fb57697e5f33f64cdadeb581375b491c3c8c1c","target":"graph","created_at":"2026-07-05T01:17:08Z","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/2007.00810/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Identifiability is a desirable property of a statistical model: it implies that the true model parameters may be estimated to any desired precision, given sufficient computational resources and data. We study identifiability in the context of representation learning: discovering nonlinear data representations that are optimal with respect to some downstream task. When parameterized as deep neural networks, such representation functions typically lack identifiability in parameter space, because they are overparameterized by design. In this paper, building on recent advances in nonlinear ICA, we","authors_text":"Diederik P. Kingma, Geoffrey Roeder, Luke Metz","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2020-07-01T23:33:37Z","title":"On Linear Identifiability of Learned Representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.00810","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":"sha256:5d5a402b5af274a08d0dde9a3f8bb9f372a89a073ecc5be900e3346490548f12","target":"record","created_at":"2026-07-05T01:17:08Z","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":"f4f3f19a4f0a76c671ad115c7225569bdcb007525d405c16aab2c5a832659713","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2020-07-01T23:33:37Z","title_canon_sha256":"8ad5d8481293b7a959047d237408550d6daf95fe7d843769fd278329bd2fdbd6"},"schema_version":"1.0","source":{"id":"2007.00810","kind":"arxiv","version":3}},"canonical_sha256":"5cf6966aa05fe4d469a852251111088e39f9068439492c3b68f3910a5ac37ae4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5cf6966aa05fe4d469a852251111088e39f9068439492c3b68f3910a5ac37ae4","first_computed_at":"2026-07-05T01:17:08.471590Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:17:08.471590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/VWn99gizTQGC7QRZmnySiPPbwhCOXZJ+expSTriRtLHK/n4l/ydZHK7B5a29UP58RD5BwQ/0GmvUgdXd4jmBw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:17:08.472080Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.00810","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d5a402b5af274a08d0dde9a3f8bb9f372a89a073ecc5be900e3346490548f12","sha256:ccd74b5cd9a3c11a03d91207c8fb57697e5f33f64cdadeb581375b491c3c8c1c"],"state_sha256":"5b86bdc1ac4314f743a754616f65e8cdafa21191514875f474473fc1ade645e3"}