{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:JHTGIGG3X3ZMRUS6X4CZ6XRUZY","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":"c1ea626dd0a533e0a3dd4d8f4a6c33174972d78ad00ac283ead25573f72292f7","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-07T02:16:10Z","title_canon_sha256":"4dfb17fe766e6062c6a0ede078c9832e6b5eecc9dcc4e2743d371614fafe2800"},"schema_version":"1.0","source":{"id":"1905.02325","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.02325","created_at":"2026-05-17T23:43:42Z"},{"alias_kind":"arxiv_version","alias_value":"1905.02325v2","created_at":"2026-05-17T23:43:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.02325","created_at":"2026-05-17T23:43:42Z"},{"alias_kind":"pith_short_12","alias_value":"JHTGIGG3X3ZM","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"JHTGIGG3X3ZMRUS6","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"JHTGIGG3","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:f7ac064b82adec011f19ef242f8c176df2baa3040986fd3cd28edc4f746a7b57","target":"graph","created_at":"2026-05-17T23:43:42Z","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"},"paper":{"abstract_excerpt":"Triangular map is a recent construct in probability theory that allows one to transform any source probability density function to any target density function. Based on triangular maps, we propose a general framework for high-dimensional density estimation, by specifying one-dimensional transformations (equivalently conditional densities) and appropriate conditioner networks. This framework (a) reveals the commonalities and differences of existing autoregressive and flow based methods, (b) allows a unified understanding of the limitations and representation power of these recent approaches and","authors_text":"Kira A. Selby, Priyank Jaini, Yaoliang Yu","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-07T02:16:10Z","title":"Sum-of-Squares Polynomial Flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.02325","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":"sha256:64109ca5359ea1c66b07f9a2f3993ef90b0f467a3cd141a92b9abf6e32dbdd2f","target":"record","created_at":"2026-05-17T23:43:42Z","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":"c1ea626dd0a533e0a3dd4d8f4a6c33174972d78ad00ac283ead25573f72292f7","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-07T02:16:10Z","title_canon_sha256":"4dfb17fe766e6062c6a0ede078c9832e6b5eecc9dcc4e2743d371614fafe2800"},"schema_version":"1.0","source":{"id":"1905.02325","kind":"arxiv","version":2}},"canonical_sha256":"49e66418dbbef2c8d25ebf059f5e34ce316ca17a2eab572c236f3172f576d4ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49e66418dbbef2c8d25ebf059f5e34ce316ca17a2eab572c236f3172f576d4ac","first_computed_at":"2026-05-17T23:43:42.263718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:42.263718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"49L/gkje9fvAWSdMXG0W1QT4ACTeHWWC+kQ61NNk40SLT9cplESxWPyjUWgVLMC7wbPa6QEsU/vTBL0YojA3Bw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:42.264345Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.02325","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64109ca5359ea1c66b07f9a2f3993ef90b0f467a3cd141a92b9abf6e32dbdd2f","sha256:f7ac064b82adec011f19ef242f8c176df2baa3040986fd3cd28edc4f746a7b57"],"state_sha256":"9949dcf95f7c3317feea59e3fc9f6f618c318cf973b72da03db4693c617bb735"}