{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:REIIM6M6VIQBOQLT7KR7F37SKE","short_pith_number":"pith:REIIM6M6","canonical_record":{"source":{"id":"2402.07487","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-02-12T08:52:35Z","cross_cats_sorted":["math.HO"],"title_canon_sha256":"cc9884883734f3b1dec481cec9ea21320c0d785e422e589064fc6664eb9571ea","abstract_canon_sha256":"78deff7f3ef770a6dccd320a07eb02e3966afb98b15e0a066576e36f2d7bcd12"},"schema_version":"1.0"},"canonical_sha256":"891086799eaa20174173faa3f2eff2510332c3c8db5b3392d1e7019cef5d4420","source":{"kind":"arxiv","id":"2402.07487","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.07487","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"arxiv_version","alias_value":"2402.07487v3","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.07487","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_12","alias_value":"REIIM6M6VIQB","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_16","alias_value":"REIIM6M6VIQBOQLT","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_8","alias_value":"REIIM6M6","created_at":"2026-07-05T11:32:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:REIIM6M6VIQBOQLT7KR7F37SKE","target":"record","payload":{"canonical_record":{"source":{"id":"2402.07487","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-02-12T08:52:35Z","cross_cats_sorted":["math.HO"],"title_canon_sha256":"cc9884883734f3b1dec481cec9ea21320c0d785e422e589064fc6664eb9571ea","abstract_canon_sha256":"78deff7f3ef770a6dccd320a07eb02e3966afb98b15e0a066576e36f2d7bcd12"},"schema_version":"1.0"},"canonical_sha256":"891086799eaa20174173faa3f2eff2510332c3c8db5b3392d1e7019cef5d4420","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:32:14.439250Z","signature_b64":"PwPW3MaApU/A0Vp0UOxDCqIXh/kXbGpzsDvA6qLwDUiaRu/iG1tKUc9D/SUoyZ+C6O6DfaCNk5gASl6r92B+BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"891086799eaa20174173faa3f2eff2510332c3c8db5b3392d1e7019cef5d4420","last_reissued_at":"2026-07-05T11:32:14.438687Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:32:14.438687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.07487","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":"2026-07-05T11:32:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L7YEMsmgnaDTtjp0yycwLFzYF2GKmcdfwZnmGeL1vmCvEEGgWX4NNPZi94jDb74fVwxJxBy+fB8wzGWGgTBfBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:39:34.952950Z"},"content_sha256":"caf2bc778d41e2e3c3ffd71229171b07d38df3da48cd852dbcc78cf4b0da6eca","schema_version":"1.0","event_id":"sha256:caf2bc778d41e2e3c3ffd71229171b07d38df3da48cd852dbcc78cf4b0da6eca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:REIIM6M6VIQBOQLT7KR7F37SKE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Score-based Diffusion Models via Stochastic Differential Equations -- a Technical Tutorial","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.HO"],"primary_cat":"cs.LG","authors_text":"Hanyang Zhao, Wenpin Tang","submitted_at":"2024-02-12T08:52:35Z","abstract_excerpt":"This is an expository article on the score-based diffusion models, with a particular focus on the formulation via stochastic differential equations (SDE). After a gentle introduction, we discuss the two pillars in the diffusion modeling -- sampling and score matching, which encompass the SDE/ODE sampling, score matching efficiency, the consistency models, and reinforcement learning. Short proofs are given to illustrate the main idea of the stated results. The article is primarily a technical introduction to the field, and practitioners may also find some analysis useful in designing new models"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.07487","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/2402.07487/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":"2026-07-05T11:32:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MJguh/fcJ+nwgyD++Z9wxHrcHUb+sSGjyK8ZgJ3AaC7G4/NTWW7Z0xKfOmiFA7sCAehG2/UomymdIhmIbaiHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:39:34.953484Z"},"content_sha256":"7a92e193d5c71b88a384bbb8fc6a220e9bef6cd94ac11e4e575c326450c72ce6","schema_version":"1.0","event_id":"sha256:7a92e193d5c71b88a384bbb8fc6a220e9bef6cd94ac11e4e575c326450c72ce6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/REIIM6M6VIQBOQLT7KR7F37SKE/bundle.json","state_url":"https://pith.science/pith/REIIM6M6VIQBOQLT7KR7F37SKE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/REIIM6M6VIQBOQLT7KR7F37SKE/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":"2026-08-08T09:39:34Z","links":{"resolver":"https://pith.science/pith/REIIM6M6VIQBOQLT7KR7F37SKE","bundle":"https://pith.science/pith/REIIM6M6VIQBOQLT7KR7F37SKE/bundle.json","state":"https://pith.science/pith/REIIM6M6VIQBOQLT7KR7F37SKE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/REIIM6M6VIQBOQLT7KR7F37SKE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:REIIM6M6VIQBOQLT7KR7F37SKE","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":"78deff7f3ef770a6dccd320a07eb02e3966afb98b15e0a066576e36f2d7bcd12","cross_cats_sorted":["math.HO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-02-12T08:52:35Z","title_canon_sha256":"cc9884883734f3b1dec481cec9ea21320c0d785e422e589064fc6664eb9571ea"},"schema_version":"1.0","source":{"id":"2402.07487","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.07487","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"arxiv_version","alias_value":"2402.07487v3","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.07487","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_12","alias_value":"REIIM6M6VIQB","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_16","alias_value":"REIIM6M6VIQBOQLT","created_at":"2026-07-05T11:32:14Z"},{"alias_kind":"pith_short_8","alias_value":"REIIM6M6","created_at":"2026-07-05T11:32:14Z"}],"graph_snapshots":[{"event_id":"sha256:7a92e193d5c71b88a384bbb8fc6a220e9bef6cd94ac11e4e575c326450c72ce6","target":"graph","created_at":"2026-07-05T11:32:14Z","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/2402.07487/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This is an expository article on the score-based diffusion models, with a particular focus on the formulation via stochastic differential equations (SDE). After a gentle introduction, we discuss the two pillars in the diffusion modeling -- sampling and score matching, which encompass the SDE/ODE sampling, score matching efficiency, the consistency models, and reinforcement learning. Short proofs are given to illustrate the main idea of the stated results. The article is primarily a technical introduction to the field, and practitioners may also find some analysis useful in designing new models","authors_text":"Hanyang Zhao, Wenpin Tang","cross_cats":["math.HO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-02-12T08:52:35Z","title":"Score-based Diffusion Models via Stochastic Differential Equations -- a Technical Tutorial"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.07487","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:caf2bc778d41e2e3c3ffd71229171b07d38df3da48cd852dbcc78cf4b0da6eca","target":"record","created_at":"2026-07-05T11:32:14Z","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":"78deff7f3ef770a6dccd320a07eb02e3966afb98b15e0a066576e36f2d7bcd12","cross_cats_sorted":["math.HO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-02-12T08:52:35Z","title_canon_sha256":"cc9884883734f3b1dec481cec9ea21320c0d785e422e589064fc6664eb9571ea"},"schema_version":"1.0","source":{"id":"2402.07487","kind":"arxiv","version":3}},"canonical_sha256":"891086799eaa20174173faa3f2eff2510332c3c8db5b3392d1e7019cef5d4420","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"891086799eaa20174173faa3f2eff2510332c3c8db5b3392d1e7019cef5d4420","first_computed_at":"2026-07-05T11:32:14.438687Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:32:14.438687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PwPW3MaApU/A0Vp0UOxDCqIXh/kXbGpzsDvA6qLwDUiaRu/iG1tKUc9D/SUoyZ+C6O6DfaCNk5gASl6r92B+BA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:32:14.439250Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.07487","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:caf2bc778d41e2e3c3ffd71229171b07d38df3da48cd852dbcc78cf4b0da6eca","sha256:7a92e193d5c71b88a384bbb8fc6a220e9bef6cd94ac11e4e575c326450c72ce6"],"state_sha256":"c9fcd9ba12b79e63a499a2a6d140761eaedaf3e04dc8c3b4cf934d909f3f9aa7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"guvllqupMNzaLbNx8VaGD3MS0DIuJDJ+VEerAT1nEAysEy+m5ZMRZWQdNampDTTdhIm9SwxnA+i1NbZpzsz+Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T09:39:34.958686Z","bundle_sha256":"71637690a56021a090c3af819fe0c5c018b692f02d829b941b8724b3fa275300"}}