{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:7IBJD4JLCHRTCZG2OZ72AXE3QG","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":"86432c65bc524f9eb9b60b295d53becf818e98a99e7b3d7d73c62e5a160cfb2e","cross_cats_sorted":["cs.NE","cs.PL"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-10-20T23:36:01Z","title_canon_sha256":"47d79fd6648e23fa3ff41e6160231f296a510f5aa1f48ae33ba00d586de68a83"},"schema_version":"1.0","source":{"id":"2210.11633","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.11633","created_at":"2026-07-05T06:21:29Z"},{"alias_kind":"arxiv_version","alias_value":"2210.11633v3","created_at":"2026-07-05T06:21:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.11633","created_at":"2026-07-05T06:21:29Z"},{"alias_kind":"pith_short_12","alias_value":"7IBJD4JLCHRT","created_at":"2026-07-05T06:21:29Z"},{"alias_kind":"pith_short_16","alias_value":"7IBJD4JLCHRTCZG2","created_at":"2026-07-05T06:21:29Z"},{"alias_kind":"pith_short_8","alias_value":"7IBJD4JL","created_at":"2026-07-05T06:21:29Z"}],"graph_snapshots":[{"event_id":"sha256:c631a4d8b0e3d0763859222ea0f0d310c09a9a0feab889bb0aefd1b4e1f33b41","target":"graph","created_at":"2026-07-05T06:21:29Z","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/2210.11633/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a framework for automatically defining and learning deep generative models with problem-specific structure. We tackle problem domains that are more traditionally solved by algorithms such as sorting, constraint satisfaction for Sudoku, and matrix factorization. Concretely, we train diffusion models with an architecture tailored to the problem specification. This problem specification should contain a graphical model describing relationships between variables, and often benefits from explicit representation of subcomputations. Permutation invariances can also be exploited. Across a","authors_text":"Christian Weilbach, Frank Wood, William Harvey","cross_cats":["cs.NE","cs.PL"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-10-20T23:36:01Z","title":"Graphically Structured Diffusion Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.11633","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":"sha256:4025931b30daf0d82aa364c5e0d251a3b49e085f85e64da67876ba4ff64d25d0","target":"record","created_at":"2026-07-05T06:21:29Z","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":"86432c65bc524f9eb9b60b295d53becf818e98a99e7b3d7d73c62e5a160cfb2e","cross_cats_sorted":["cs.NE","cs.PL"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-10-20T23:36:01Z","title_canon_sha256":"47d79fd6648e23fa3ff41e6160231f296a510f5aa1f48ae33ba00d586de68a83"},"schema_version":"1.0","source":{"id":"2210.11633","kind":"arxiv","version":3}},"canonical_sha256":"fa0291f12b11e33164da767fa05c9b81977385cd1fe5f99c00a91e4d2bde17c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa0291f12b11e33164da767fa05c9b81977385cd1fe5f99c00a91e4d2bde17c7","first_computed_at":"2026-07-05T06:21:29.482516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:21:29.482516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1h7STeNNgOfq1ml7621/3X+MPmqmFEs3XqNnY04GWqfSlbRTOrHx7udZn4r4SOBOyXzZLSRasGKLugyQkPyXBA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:21:29.483099Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.11633","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4025931b30daf0d82aa364c5e0d251a3b49e085f85e64da67876ba4ff64d25d0","sha256:c631a4d8b0e3d0763859222ea0f0d310c09a9a0feab889bb0aefd1b4e1f33b41"],"state_sha256":"0c5561476f9a719111d9dfd3a3643392377f5b7aea41c38dd9f173a97a0b1b25"}