{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:SUTLGUHB7LJPB3SAFA3AFKIKFN","short_pith_number":"pith:SUTLGUHB","canonical_record":{"source":{"id":"2502.13757","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2025-02-19T14:20:28Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"af2871eaccce1979bc97eea742656d9800646106e47c3b5e2413cd222db7b190","abstract_canon_sha256":"d8a647efccf6e239f42644548dce8726d1369a640aa959636a60b1edab557c7e"},"schema_version":"1.0"},"canonical_sha256":"9526b350e1fad2f0ee40283602a90a2b77e985fe186cbf48bb6b3d686f082a07","source":{"kind":"arxiv","id":"2502.13757","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.13757","created_at":"2026-07-05T11:12:27Z"},{"alias_kind":"arxiv_version","alias_value":"2502.13757v3","created_at":"2026-07-05T11:12:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.13757","created_at":"2026-07-05T11:12:27Z"},{"alias_kind":"pith_short_12","alias_value":"SUTLGUHB7LJP","created_at":"2026-07-05T11:12:27Z"},{"alias_kind":"pith_short_16","alias_value":"SUTLGUHB7LJPB3SA","created_at":"2026-07-05T11:12:27Z"},{"alias_kind":"pith_short_8","alias_value":"SUTLGUHB","created_at":"2026-07-05T11:12:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:SUTLGUHB7LJPB3SAFA3AFKIKFN","target":"record","payload":{"canonical_record":{"source":{"id":"2502.13757","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2025-02-19T14:20:28Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"af2871eaccce1979bc97eea742656d9800646106e47c3b5e2413cd222db7b190","abstract_canon_sha256":"d8a647efccf6e239f42644548dce8726d1369a640aa959636a60b1edab557c7e"},"schema_version":"1.0"},"canonical_sha256":"9526b350e1fad2f0ee40283602a90a2b77e985fe186cbf48bb6b3d686f082a07","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:12:27.637752Z","signature_b64":"Y8OUij2rRr/h4sqO+hF9sdRxHLpfd1QOsR96dqSRitLZ1eR9k/5vX7WSQgF4Fa6CnsxhQhq9gRmK19Gmd1anCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9526b350e1fad2f0ee40283602a90a2b77e985fe186cbf48bb6b3d686f082a07","last_reissued_at":"2026-07-05T11:12:27.637190Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:12:27.637190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.13757","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":"2026-07-05T11:12:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5qwo6nGXgd3msiyvhfZXTEOPDgiJiyX+u5Ed0Y+pBxarIx/wLmWnxfOUfcFupxRMhWPytWq5FVpSHaXk33+tDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T13:46:36.136121Z"},"content_sha256":"a364b272fb446f15fee4c4d2108cfb4c09139d9bacc17ca84c8cec010e75414e","schema_version":"1.0","event_id":"sha256:a364b272fb446f15fee4c4d2108cfb4c09139d9bacc17ca84c8cec010e75414e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:SUTLGUHB7LJPB3SAFA3AFKIKFN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Identifying Metric Structures of Deep Latent Variable Models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Benjamin Bloem-Reddy, Johnny Xi, S{\\o}ren Hauberg, Stas Syrota, Yevgen Zainchkovskyy","submitted_at":"2025-02-19T14:20:28Z","abstract_excerpt":"Deep latent variable models learn condensed representations of data that, hopefully, reflect the inner workings of the studied phenomena. Unfortunately, these latent representations are not statistically identifiable, meaning they cannot be uniquely determined. Domain experts, therefore, need to tread carefully when interpreting these. Current solutions limit the lack of identifiability through additional constraints on the latent variable model, e.g. by requiring labeled training data, or by restricting the expressivity of the model. We change the goal: instead of identifying the latent varia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.13757","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/2502.13757/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":"2026-07-05T11:12:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M7DrpViCtrkfiM0vEgRTXcR7kvAGEY2OgJTLXr71In4lN5xdmnoOa9O0UAXxmrgHHN6f8i0BrNg5CLSEbKHnAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T13:46:36.136520Z"},"content_sha256":"da35fa92745a009a75f5fdd57434f5feac3caf96754e4f03724ee816bdbcf213","schema_version":"1.0","event_id":"sha256:da35fa92745a009a75f5fdd57434f5feac3caf96754e4f03724ee816bdbcf213"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SUTLGUHB7LJPB3SAFA3AFKIKFN/bundle.json","state_url":"https://pith.science/pith/SUTLGUHB7LJPB3SAFA3AFKIKFN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SUTLGUHB7LJPB3SAFA3AFKIKFN/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":"2026-07-08T13:46:36Z","links":{"resolver":"https://pith.science/pith/SUTLGUHB7LJPB3SAFA3AFKIKFN","bundle":"https://pith.science/pith/SUTLGUHB7LJPB3SAFA3AFKIKFN/bundle.json","state":"https://pith.science/pith/SUTLGUHB7LJPB3SAFA3AFKIKFN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SUTLGUHB7LJPB3SAFA3AFKIKFN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:SUTLGUHB7LJPB3SAFA3AFKIKFN","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":"d8a647efccf6e239f42644548dce8726d1369a640aa959636a60b1edab557c7e","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2025-02-19T14:20:28Z","title_canon_sha256":"af2871eaccce1979bc97eea742656d9800646106e47c3b5e2413cd222db7b190"},"schema_version":"1.0","source":{"id":"2502.13757","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.13757","created_at":"2026-07-05T11:12:27Z"},{"alias_kind":"arxiv_version","alias_value":"2502.13757v3","created_at":"2026-07-05T11:12:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.13757","created_at":"2026-07-05T11:12:27Z"},{"alias_kind":"pith_short_12","alias_value":"SUTLGUHB7LJP","created_at":"2026-07-05T11:12:27Z"},{"alias_kind":"pith_short_16","alias_value":"SUTLGUHB7LJPB3SA","created_at":"2026-07-05T11:12:27Z"},{"alias_kind":"pith_short_8","alias_value":"SUTLGUHB","created_at":"2026-07-05T11:12:27Z"}],"graph_snapshots":[{"event_id":"sha256:da35fa92745a009a75f5fdd57434f5feac3caf96754e4f03724ee816bdbcf213","target":"graph","created_at":"2026-07-05T11:12:27Z","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/2502.13757/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Deep latent variable models learn condensed representations of data that, hopefully, reflect the inner workings of the studied phenomena. Unfortunately, these latent representations are not statistically identifiable, meaning they cannot be uniquely determined. Domain experts, therefore, need to tread carefully when interpreting these. Current solutions limit the lack of identifiability through additional constraints on the latent variable model, e.g. by requiring labeled training data, or by restricting the expressivity of the model. We change the goal: instead of identifying the latent varia","authors_text":"Benjamin Bloem-Reddy, Johnny Xi, S{\\o}ren Hauberg, Stas Syrota, Yevgen Zainchkovskyy","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2025-02-19T14:20:28Z","title":"Identifying Metric Structures of Deep Latent Variable Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.13757","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:a364b272fb446f15fee4c4d2108cfb4c09139d9bacc17ca84c8cec010e75414e","target":"record","created_at":"2026-07-05T11:12:27Z","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":"d8a647efccf6e239f42644548dce8726d1369a640aa959636a60b1edab557c7e","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2025-02-19T14:20:28Z","title_canon_sha256":"af2871eaccce1979bc97eea742656d9800646106e47c3b5e2413cd222db7b190"},"schema_version":"1.0","source":{"id":"2502.13757","kind":"arxiv","version":3}},"canonical_sha256":"9526b350e1fad2f0ee40283602a90a2b77e985fe186cbf48bb6b3d686f082a07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9526b350e1fad2f0ee40283602a90a2b77e985fe186cbf48bb6b3d686f082a07","first_computed_at":"2026-07-05T11:12:27.637190Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:12:27.637190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y8OUij2rRr/h4sqO+hF9sdRxHLpfd1QOsR96dqSRitLZ1eR9k/5vX7WSQgF4Fa6CnsxhQhq9gRmK19Gmd1anCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:12:27.637752Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.13757","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a364b272fb446f15fee4c4d2108cfb4c09139d9bacc17ca84c8cec010e75414e","sha256:da35fa92745a009a75f5fdd57434f5feac3caf96754e4f03724ee816bdbcf213"],"state_sha256":"29b52db987033a0e9da0bebe14b3e1edfa3fad7874dc39c6d43fac43327aafda"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lAGRxucr1TjDIT8yp+Y5DZKnzRvuxb5nMvHTVzWxQ3ZKQ5nui61bvJceIa9OH2wDfukpWANM8bziJ+wicJ2TCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-08T13:46:36.138811Z","bundle_sha256":"f538f0a8aaf7e2838cfad5452039985b54874168792f4b218360e477537f58da"}}