{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:Q5HZFISSA26FHIMC773BXLS7V6","short_pith_number":"pith:Q5HZFISS","canonical_record":{"source":{"id":"2302.00806","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-02-02T00:13:32Z","cross_cats_sorted":["hep-ph","math.GR","stat.ML"],"title_canon_sha256":"45a035395b43b9813c5bf6a5facd3e75b3d33d92b76786bed416966fc1add3bb","abstract_canon_sha256":"f4f6764f5891b33b59345459c460afdd218bd3010311da674d5ff02d5ef900a3"},"schema_version":"1.0"},"canonical_sha256":"874f92a25206bc53a182fff61bae5fafb98220e02b0d15cbdb24f0e2d2f8bebc","source":{"kind":"arxiv","id":"2302.00806","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.00806","created_at":"2026-07-05T05:38:12Z"},{"alias_kind":"arxiv_version","alias_value":"2302.00806v1","created_at":"2026-07-05T05:38:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.00806","created_at":"2026-07-05T05:38:12Z"},{"alias_kind":"pith_short_12","alias_value":"Q5HZFISSA26F","created_at":"2026-07-05T05:38:12Z"},{"alias_kind":"pith_short_16","alias_value":"Q5HZFISSA26FHIMC","created_at":"2026-07-05T05:38:12Z"},{"alias_kind":"pith_short_8","alias_value":"Q5HZFISS","created_at":"2026-07-05T05:38:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:Q5HZFISSA26FHIMC773BXLS7V6","target":"record","payload":{"canonical_record":{"source":{"id":"2302.00806","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-02-02T00:13:32Z","cross_cats_sorted":["hep-ph","math.GR","stat.ML"],"title_canon_sha256":"45a035395b43b9813c5bf6a5facd3e75b3d33d92b76786bed416966fc1add3bb","abstract_canon_sha256":"f4f6764f5891b33b59345459c460afdd218bd3010311da674d5ff02d5ef900a3"},"schema_version":"1.0"},"canonical_sha256":"874f92a25206bc53a182fff61bae5fafb98220e02b0d15cbdb24f0e2d2f8bebc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:38:12.451411Z","signature_b64":"mHjmqWEoif/10WZMzM9eR8HdA6f7aJF5J2eg3eHg6OSIP6RwUcX/cRswvcslLvQ7RkMCmWwX5VSvzqYbAV8EDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"874f92a25206bc53a182fff61bae5fafb98220e02b0d15cbdb24f0e2d2f8bebc","last_reissued_at":"2026-07-05T05:38:12.451010Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:38:12.451010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2302.00806","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:38:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"putFm+5zcIzoQayrfzTeinzLEs+J970nFA8dgGcEWxLyHz38ABMJa2zaMKqZBISfhAxuwNhE+/ffQ1pq3rlQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T08:36:01.248369Z"},"content_sha256":"5cf2cb88a9a1f6c445d323d2b774f28e4216ae11c0ef821bdbf963d7a872284e","schema_version":"1.0","event_id":"sha256:5cf2cb88a9a1f6c445d323d2b774f28e4216ae11c0ef821bdbf963d7a872284e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:Q5HZFISSA26FHIMC773BXLS7V6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Oracle-Preserving Latent Flows","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph","math.GR","stat.ML"],"primary_cat":"cs.LG","authors_text":"Alexander Roman, Eyup B. Unlu, Katia Matcheva, Konstantin T. Matchev, Roy T. Forestano","submitted_at":"2023-02-02T00:13:32Z","abstract_excerpt":"We develop a deep learning methodology for the simultaneous discovery of multiple nontrivial continuous symmetries across an entire labelled dataset. The symmetry transformations and the corresponding generators are modeled with fully connected neural networks trained with a specially constructed loss function ensuring the desired symmetry properties. The two new elements in this work are the use of a reduced-dimensionality latent space and the generalization to transformations invariant with respect to high-dimensional oracles. The method is demonstrated with several examples on the MNIST dig"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.00806","kind":"arxiv","version":1},"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/2302.00806/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":"2026-07-05T05:38:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QLm9U3cFxxuW+6OLlAn67M43B9ZDhCIPA74I5AdqmF9k1SR66An0ZK1JdEIO4DDX6KtsCFJr58PWU5N+TZngDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T08:36:01.248943Z"},"content_sha256":"01acca335f61ed5761d20667e79c71be93f569ef6853fd13a0b7149e626881de","schema_version":"1.0","event_id":"sha256:01acca335f61ed5761d20667e79c71be93f569ef6853fd13a0b7149e626881de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q5HZFISSA26FHIMC773BXLS7V6/bundle.json","state_url":"https://pith.science/pith/Q5HZFISSA26FHIMC773BXLS7V6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q5HZFISSA26FHIMC773BXLS7V6/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":"2026-08-22T08:36:01Z","links":{"resolver":"https://pith.science/pith/Q5HZFISSA26FHIMC773BXLS7V6","bundle":"https://pith.science/pith/Q5HZFISSA26FHIMC773BXLS7V6/bundle.json","state":"https://pith.science/pith/Q5HZFISSA26FHIMC773BXLS7V6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q5HZFISSA26FHIMC773BXLS7V6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:Q5HZFISSA26FHIMC773BXLS7V6","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":"f4f6764f5891b33b59345459c460afdd218bd3010311da674d5ff02d5ef900a3","cross_cats_sorted":["hep-ph","math.GR","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-02-02T00:13:32Z","title_canon_sha256":"45a035395b43b9813c5bf6a5facd3e75b3d33d92b76786bed416966fc1add3bb"},"schema_version":"1.0","source":{"id":"2302.00806","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.00806","created_at":"2026-07-05T05:38:12Z"},{"alias_kind":"arxiv_version","alias_value":"2302.00806v1","created_at":"2026-07-05T05:38:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.00806","created_at":"2026-07-05T05:38:12Z"},{"alias_kind":"pith_short_12","alias_value":"Q5HZFISSA26F","created_at":"2026-07-05T05:38:12Z"},{"alias_kind":"pith_short_16","alias_value":"Q5HZFISSA26FHIMC","created_at":"2026-07-05T05:38:12Z"},{"alias_kind":"pith_short_8","alias_value":"Q5HZFISS","created_at":"2026-07-05T05:38:12Z"}],"graph_snapshots":[{"event_id":"sha256:01acca335f61ed5761d20667e79c71be93f569ef6853fd13a0b7149e626881de","target":"graph","created_at":"2026-07-05T05:38:12Z","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/2302.00806/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a deep learning methodology for the simultaneous discovery of multiple nontrivial continuous symmetries across an entire labelled dataset. The symmetry transformations and the corresponding generators are modeled with fully connected neural networks trained with a specially constructed loss function ensuring the desired symmetry properties. The two new elements in this work are the use of a reduced-dimensionality latent space and the generalization to transformations invariant with respect to high-dimensional oracles. The method is demonstrated with several examples on the MNIST dig","authors_text":"Alexander Roman, Eyup B. Unlu, Katia Matcheva, Konstantin T. Matchev, Roy T. Forestano","cross_cats":["hep-ph","math.GR","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-02-02T00:13:32Z","title":"Oracle-Preserving Latent Flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.00806","kind":"arxiv","version":1},"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":"sha256:5cf2cb88a9a1f6c445d323d2b774f28e4216ae11c0ef821bdbf963d7a872284e","target":"record","created_at":"2026-07-05T05:38:12Z","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":"f4f6764f5891b33b59345459c460afdd218bd3010311da674d5ff02d5ef900a3","cross_cats_sorted":["hep-ph","math.GR","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-02-02T00:13:32Z","title_canon_sha256":"45a035395b43b9813c5bf6a5facd3e75b3d33d92b76786bed416966fc1add3bb"},"schema_version":"1.0","source":{"id":"2302.00806","kind":"arxiv","version":1}},"canonical_sha256":"874f92a25206bc53a182fff61bae5fafb98220e02b0d15cbdb24f0e2d2f8bebc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"874f92a25206bc53a182fff61bae5fafb98220e02b0d15cbdb24f0e2d2f8bebc","first_computed_at":"2026-07-05T05:38:12.451010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:38:12.451010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mHjmqWEoif/10WZMzM9eR8HdA6f7aJF5J2eg3eHg6OSIP6RwUcX/cRswvcslLvQ7RkMCmWwX5VSvzqYbAV8EDA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:38:12.451411Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.00806","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5cf2cb88a9a1f6c445d323d2b774f28e4216ae11c0ef821bdbf963d7a872284e","sha256:01acca335f61ed5761d20667e79c71be93f569ef6853fd13a0b7149e626881de"],"state_sha256":"baf0f157053664a2b8f43d3a996da0e91c224f10c4711091d0833cf20339871a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AYo3aoEVxRZF5jiCnxGdUiV9YD82qcsVOyr/YxFY3WVHbeiflwzMg9bfz/WvMni/E+tZWuW/oYUe7tv6WbR6AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T08:36:01.253938Z","bundle_sha256":"f7f9de0ffafbf5f8573950decb3ba7320f15d64bbe7e67421397b203a44164f5"}}