{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:BF6N6YRRSTRRZQKU6BARCV3DMA","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":"4405b3107e4c7af95828b6de08e1010f5894fc8872e257181a29d99642330a73","cross_cats_sorted":["cs.AI","cs.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-10-24T02:29:02Z","title_canon_sha256":"cc05fe4a03541550895d8f1a521ed366aabd766a4816697ca434fe5340a4ec04"},"schema_version":"1.0","source":{"id":"2510.21890","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.21890","created_at":"2026-05-17T23:51:27Z"},{"alias_kind":"arxiv_version","alias_value":"2510.21890v1","created_at":"2026-05-17T23:51:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.21890","created_at":"2026-05-17T23:51:27Z"},{"alias_kind":"pith_short_12","alias_value":"BF6N6YRRSTRR","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"BF6N6YRRSTRRZQKU","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"BF6N6YRR","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:75d055d7a867d4b151b6b8741e9126091413a5b6199c8856df4f1211fc31c2d9","target":"graph","created_at":"2026-05-17T23:51:27Z","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"},"paper":{"abstract_excerpt":"This monograph presents the core principles that have guided the development of diffusion models, tracing their origins and showing how diverse formulations arise from shared mathematical ideas. Diffusion modeling starts by defining a forward process that gradually corrupts data into noise, linking the data distribution to a simple prior through a continuum of intermediate distributions. The goal is to learn a reverse process that transforms noise back into data while recovering the same intermediates. We describe three complementary views. The variational view, inspired by variational autoenc","authors_text":"Chieh-Hsin Lai, Dongjun Kim, Stefano Ermon, Yang Song, Yuki Mitsufuji","cross_cats":["cs.AI","cs.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-10-24T02:29:02Z","title":"The Principles of Diffusion Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.21890","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":"sha256:34b83c30f3212eb77ca5dc930d60f347173f3465f256d0f0d7dfb593a2b3f853","target":"record","created_at":"2026-05-17T23:51:27Z","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":"4405b3107e4c7af95828b6de08e1010f5894fc8872e257181a29d99642330a73","cross_cats_sorted":["cs.AI","cs.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-10-24T02:29:02Z","title_canon_sha256":"cc05fe4a03541550895d8f1a521ed366aabd766a4816697ca434fe5340a4ec04"},"schema_version":"1.0","source":{"id":"2510.21890","kind":"arxiv","version":1}},"canonical_sha256":"097cdf623194e31cc154f041115763601e0fb8fa4070d39c23ceb77df52d9d0a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"097cdf623194e31cc154f041115763601e0fb8fa4070d39c23ceb77df52d9d0a","first_computed_at":"2026-05-17T23:51:27.729192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:27.729192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ra6+sdfiPPq6xmp5hr31hu+bzdOlTpN274WekbgHSFCkVfyqnCwXZT2EyEr8dZOc2InNw3ftcPKpxw3JtzDUAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:27.729892Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.21890","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34b83c30f3212eb77ca5dc930d60f347173f3465f256d0f0d7dfb593a2b3f853","sha256:75d055d7a867d4b151b6b8741e9126091413a5b6199c8856df4f1211fc31c2d9"],"state_sha256":"d1d45e7effa929bad232f55e55fedddaa2cc7d0381de02b35d9e76864ff1d238"}