{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:OMLY7IX2IM63NAUFST5DUVDISH","short_pith_number":"pith:OMLY7IX2","canonical_record":{"source":{"id":"1912.10840","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-12-20T12:29:12Z","cross_cats_sorted":["eess.IV"],"title_canon_sha256":"9e8ab9429f67eac3188175de83c1e78c25e5b84b6e5792393f6f1f0602cbd724","abstract_canon_sha256":"6938001747f3e64c2e2b0a2c62d8fc74edc208264249e7d3825afa2416119991"},"schema_version":"1.0"},"canonical_sha256":"73178fa2fa433db6828594fa3a546891d09dd1147bda22264a927a23780932b4","source":{"kind":"arxiv","id":"1912.10840","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.10840","created_at":"2026-07-05T01:38:34Z"},{"alias_kind":"arxiv_version","alias_value":"1912.10840v3","created_at":"2026-07-05T01:38:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.10840","created_at":"2026-07-05T01:38:34Z"},{"alias_kind":"pith_short_12","alias_value":"OMLY7IX2IM63","created_at":"2026-07-05T01:38:34Z"},{"alias_kind":"pith_short_16","alias_value":"OMLY7IX2IM63NAUF","created_at":"2026-07-05T01:38:34Z"},{"alias_kind":"pith_short_8","alias_value":"OMLY7IX2","created_at":"2026-07-05T01:38:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:OMLY7IX2IM63NAUFST5DUVDISH","target":"record","payload":{"canonical_record":{"source":{"id":"1912.10840","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-12-20T12:29:12Z","cross_cats_sorted":["eess.IV"],"title_canon_sha256":"9e8ab9429f67eac3188175de83c1e78c25e5b84b6e5792393f6f1f0602cbd724","abstract_canon_sha256":"6938001747f3e64c2e2b0a2c62d8fc74edc208264249e7d3825afa2416119991"},"schema_version":"1.0"},"canonical_sha256":"73178fa2fa433db6828594fa3a546891d09dd1147bda22264a927a23780932b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:38:34.352948Z","signature_b64":"FZa3VRxBiBiV5BJScZ78MZa3o13yXp5v2OD4UGgRCiTKTHZSKL1KOq5+0FgsFa97JYrZhXJOA9hQeKWCXQvnAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73178fa2fa433db6828594fa3a546891d09dd1147bda22264a927a23780932b4","last_reissued_at":"2026-07-05T01:38:34.352485Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:38:34.352485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1912.10840","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:38:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L1kEymGoJ5SkXeC45xUn0Vov3pDBgEymCg+5S2QYfUwCzfhqZTElNNZv318jLJHtW2sGutsjYCeFlimUbPoWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:47:22.070994Z"},"content_sha256":"b6da79bda3f0188fdadccf3b35093cdce79d451e71d610e596c0196193aa20dc","schema_version":"1.0","event_id":"sha256:b6da79bda3f0188fdadccf3b35093cdce79d451e71d610e596c0196193aa20dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:OMLY7IX2IM63NAUFST5DUVDISH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Learned SVD: solving inverse problems via hybrid autoencoding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["eess.IV"],"primary_cat":"cs.LG","authors_text":"Christoph Brune, Yoeri E. Boink","submitted_at":"2019-12-20T12:29:12Z","abstract_excerpt":"Our world is full of physics-driven data where effective mappings between data manifolds are desired. There is an increasing demand for understanding combined model-based and data-driven methods. We propose a nonlinear, learned singular value decomposition (L-SVD), which combines autoencoders that simultaneously learn and connect latent codes for desired signals and given measurements. We provide a convergence analysis for a specifically structured L-SVD that acts as a regularisation method. In a more general setting, we investigate the topic of model reduction via data dimensionality reductio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.10840","kind":"arxiv","version":3},"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/1912.10840/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":"2026-07-05T01:38:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i+61Gf7m14bixNRzb+yk2pTjv0LY7rTwqaH7am7DbB3nj7FWcNPrz8VRXK9xBen0YURFBxM2o9FePjfqVLe2AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:47:22.071483Z"},"content_sha256":"3c619601a64e62d90f8b801db3076df2c3dcac96e223c55e604555a5ef98117d","schema_version":"1.0","event_id":"sha256:3c619601a64e62d90f8b801db3076df2c3dcac96e223c55e604555a5ef98117d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OMLY7IX2IM63NAUFST5DUVDISH/bundle.json","state_url":"https://pith.science/pith/OMLY7IX2IM63NAUFST5DUVDISH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OMLY7IX2IM63NAUFST5DUVDISH/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":"2026-08-10T06:47:22Z","links":{"resolver":"https://pith.science/pith/OMLY7IX2IM63NAUFST5DUVDISH","bundle":"https://pith.science/pith/OMLY7IX2IM63NAUFST5DUVDISH/bundle.json","state":"https://pith.science/pith/OMLY7IX2IM63NAUFST5DUVDISH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OMLY7IX2IM63NAUFST5DUVDISH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:OMLY7IX2IM63NAUFST5DUVDISH","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":"6938001747f3e64c2e2b0a2c62d8fc74edc208264249e7d3825afa2416119991","cross_cats_sorted":["eess.IV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-12-20T12:29:12Z","title_canon_sha256":"9e8ab9429f67eac3188175de83c1e78c25e5b84b6e5792393f6f1f0602cbd724"},"schema_version":"1.0","source":{"id":"1912.10840","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.10840","created_at":"2026-07-05T01:38:34Z"},{"alias_kind":"arxiv_version","alias_value":"1912.10840v3","created_at":"2026-07-05T01:38:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.10840","created_at":"2026-07-05T01:38:34Z"},{"alias_kind":"pith_short_12","alias_value":"OMLY7IX2IM63","created_at":"2026-07-05T01:38:34Z"},{"alias_kind":"pith_short_16","alias_value":"OMLY7IX2IM63NAUF","created_at":"2026-07-05T01:38:34Z"},{"alias_kind":"pith_short_8","alias_value":"OMLY7IX2","created_at":"2026-07-05T01:38:34Z"}],"graph_snapshots":[{"event_id":"sha256:3c619601a64e62d90f8b801db3076df2c3dcac96e223c55e604555a5ef98117d","target":"graph","created_at":"2026-07-05T01:38:34Z","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/1912.10840/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Our world is full of physics-driven data where effective mappings between data manifolds are desired. There is an increasing demand for understanding combined model-based and data-driven methods. We propose a nonlinear, learned singular value decomposition (L-SVD), which combines autoencoders that simultaneously learn and connect latent codes for desired signals and given measurements. We provide a convergence analysis for a specifically structured L-SVD that acts as a regularisation method. In a more general setting, we investigate the topic of model reduction via data dimensionality reductio","authors_text":"Christoph Brune, Yoeri E. Boink","cross_cats":["eess.IV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-12-20T12:29:12Z","title":"Learned SVD: solving inverse problems via hybrid autoencoding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.10840","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:b6da79bda3f0188fdadccf3b35093cdce79d451e71d610e596c0196193aa20dc","target":"record","created_at":"2026-07-05T01:38:34Z","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":"6938001747f3e64c2e2b0a2c62d8fc74edc208264249e7d3825afa2416119991","cross_cats_sorted":["eess.IV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-12-20T12:29:12Z","title_canon_sha256":"9e8ab9429f67eac3188175de83c1e78c25e5b84b6e5792393f6f1f0602cbd724"},"schema_version":"1.0","source":{"id":"1912.10840","kind":"arxiv","version":3}},"canonical_sha256":"73178fa2fa433db6828594fa3a546891d09dd1147bda22264a927a23780932b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73178fa2fa433db6828594fa3a546891d09dd1147bda22264a927a23780932b4","first_computed_at":"2026-07-05T01:38:34.352485Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:38:34.352485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FZa3VRxBiBiV5BJScZ78MZa3o13yXp5v2OD4UGgRCiTKTHZSKL1KOq5+0FgsFa97JYrZhXJOA9hQeKWCXQvnAg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:38:34.352948Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.10840","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6da79bda3f0188fdadccf3b35093cdce79d451e71d610e596c0196193aa20dc","sha256:3c619601a64e62d90f8b801db3076df2c3dcac96e223c55e604555a5ef98117d"],"state_sha256":"1fb7e3d5e4a63242f68b17b8508c531f37f8a67c91c95bf591858245ca490250"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AoRiYDChHEs5KUYNKrsdgS+xm/XsEBqT+OZrku7CiNCQZ+Dru5foPplLiWBl4SIbK7r2lk/22i6v0daaBryvCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T06:47:22.074729Z","bundle_sha256":"fe86e216d343a3d3467f0a9c0caad5db6a0b3827a7ec3f66efb77a18020edc5c"}}