{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:U7IRHESR4ZRZBCV4Q6EMMCG3AP","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":"5e0988676e764e9078be51217fd8fd745b32dee3cc88d409bb0fc2b2c1904a4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-23T18:18:07Z","title_canon_sha256":"d295cdcea4089c068868b58d76ab503b9f467727fb9e0c671eba3d1b22685337"},"schema_version":"1.0","source":{"id":"2412.17762","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.17762","created_at":"2026-07-05T10:22:11Z"},{"alias_kind":"arxiv_version","alias_value":"2412.17762v2","created_at":"2026-07-05T10:22:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.17762","created_at":"2026-07-05T10:22:11Z"},{"alias_kind":"pith_short_12","alias_value":"U7IRHESR4ZRZ","created_at":"2026-07-05T10:22:11Z"},{"alias_kind":"pith_short_16","alias_value":"U7IRHESR4ZRZBCV4","created_at":"2026-07-05T10:22:11Z"},{"alias_kind":"pith_short_8","alias_value":"U7IRHESR","created_at":"2026-07-05T10:22:11Z"}],"graph_snapshots":[{"event_id":"sha256:80d878af85813cd164fc10368fd1abb89f1edf29b8350e524bcfd21d239215b7","target":"graph","created_at":"2026-07-05T10:22:11Z","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/2412.17762/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Cambrian explosion of easily accessible pre-trained diffusion models suggests a demand for methods that combine multiple different pre-trained diffusion models without incurring the significant computational burden of re-training a larger combined model. In this paper, we cast the problem of combining multiple pre-trained diffusion models at the generation stage under a novel proposed framework termed superposition. Theoretically, we derive superposition from rigorous first principles stemming from the celebrated continuity equation and design two novel algorithms tailor-made for combining","authors_text":"Alexander Tong, Avishek Joey Bose, Kirill Neklyudov, Lazar Atanackovic, Marta Skreta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-23T18:18:07Z","title":"The Superposition of Diffusion Models Using the It\\^o Density Estimator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.17762","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":"sha256:426721793bfa312e3b7d7ddc4353126a61b86c3a4ed4cf93327a6a8583bb02aa","target":"record","created_at":"2026-07-05T10:22:11Z","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":"5e0988676e764e9078be51217fd8fd745b32dee3cc88d409bb0fc2b2c1904a4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-23T18:18:07Z","title_canon_sha256":"d295cdcea4089c068868b58d76ab503b9f467727fb9e0c671eba3d1b22685337"},"schema_version":"1.0","source":{"id":"2412.17762","kind":"arxiv","version":2}},"canonical_sha256":"a7d1139251e663908abc8788c608db03cf87b6d161ef4da26524a698bb2991dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7d1139251e663908abc8788c608db03cf87b6d161ef4da26524a698bb2991dc","first_computed_at":"2026-07-05T10:22:11.350817Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:22:11.350817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XcKAqk0wiJTCdyzppZ3OTJtFRPpNWmmEYOv7u7HjCQ/GJVW2J7lmBLwcwfdx9UW206YYLtzeamMPp70i8M2bDw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:22:11.351445Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.17762","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:426721793bfa312e3b7d7ddc4353126a61b86c3a4ed4cf93327a6a8583bb02aa","sha256:80d878af85813cd164fc10368fd1abb89f1edf29b8350e524bcfd21d239215b7"],"state_sha256":"3ff45965bcec0ecfe03afcc95fb5501261e8703790e3230b22b0e08183d14ad9"}