{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:I62MOHNGGA2ODX2V7RQOJKICHF","short_pith_number":"pith:I62MOHNG","canonical_record":{"source":{"id":"2303.00848","kind":"arxiv","version":7},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-03-01T22:36:05Z","cross_cats_sorted":["cs.AI","stat.ML"],"title_canon_sha256":"8ffefa4ecabafae09fd787cb15120e5d25226bbf0525210cd9ddda0da13af864","abstract_canon_sha256":"6188c4ce0f874f92c1fe967307eac9c85c5a13db9c3a97d363305b0d3e9ef4a8"},"schema_version":"1.0"},"canonical_sha256":"47b4c71da63034e1df55fc60e4a9023941f018945b048dd491bee027cb2263c8","source":{"kind":"arxiv","id":"2303.00848","version":7},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.00848","created_at":"2026-07-05T06:54:14Z"},{"alias_kind":"arxiv_version","alias_value":"2303.00848v7","created_at":"2026-07-05T06:54:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.00848","created_at":"2026-07-05T06:54:14Z"},{"alias_kind":"pith_short_12","alias_value":"I62MOHNGGA2O","created_at":"2026-07-05T06:54:14Z"},{"alias_kind":"pith_short_16","alias_value":"I62MOHNGGA2ODX2V","created_at":"2026-07-05T06:54:14Z"},{"alias_kind":"pith_short_8","alias_value":"I62MOHNG","created_at":"2026-07-05T06:54:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:I62MOHNGGA2ODX2V7RQOJKICHF","target":"record","payload":{"canonical_record":{"source":{"id":"2303.00848","kind":"arxiv","version":7},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-03-01T22:36:05Z","cross_cats_sorted":["cs.AI","stat.ML"],"title_canon_sha256":"8ffefa4ecabafae09fd787cb15120e5d25226bbf0525210cd9ddda0da13af864","abstract_canon_sha256":"6188c4ce0f874f92c1fe967307eac9c85c5a13db9c3a97d363305b0d3e9ef4a8"},"schema_version":"1.0"},"canonical_sha256":"47b4c71da63034e1df55fc60e4a9023941f018945b048dd491bee027cb2263c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:54:14.957107Z","signature_b64":"fKnvMmtmDBM2QlhbGFMqS17VKkv1k1QTKNC9HfsdWuvAS4EFNQYvWOixg5aNmTfXc4tpKldljZmVCyINiQVDCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47b4c71da63034e1df55fc60e4a9023941f018945b048dd491bee027cb2263c8","last_reissued_at":"2026-07-05T06:54:14.956624Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:54:14.956624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.00848","source_version":7,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:54:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"azjA4xbTUQZMa0PgAaQK7ln+B/sGmU4KfEqNBe2om4QYdXB8cUX6YUoRzjRf/Q/OqXz7kABgcvzpc4N+2sIVDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T06:30:36.873056Z"},"content_sha256":"9a716d6bc5fc68018a90cd531ca3b568ef57f1ea4219a6bb01757e4de92c8dfb","schema_version":"1.0","event_id":"sha256:9a716d6bc5fc68018a90cd531ca3b568ef57f1ea4219a6bb01757e4de92c8dfb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:I62MOHNGGA2ODX2V7RQOJKICHF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Understanding Diffusion Objectives as the ELBO with Simple Data Augmentation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","stat.ML"],"primary_cat":"cs.LG","authors_text":"Diederik P. Kingma, Ruiqi Gao","submitted_at":"2023-03-01T22:36:05Z","abstract_excerpt":"To achieve the highest perceptual quality, state-of-the-art diffusion models are optimized with objectives that typically look very different from the maximum likelihood and the Evidence Lower Bound (ELBO) objectives. In this work, we reveal that diffusion model objectives are actually closely related to the ELBO.\n  Specifically, we show that all commonly used diffusion model objectives equate to a weighted integral of ELBOs over different noise levels, where the weighting depends on the specific objective used. Under the condition of monotonic weighting, the connection is even closer: the dif"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.00848","kind":"arxiv","version":7},"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/2303.00848/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":"2026-07-05T06:54:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FHSb9Sf/q0Lk4KSbroRMyaP/k9KMXKCI90RGuxoxV4ao9NhYELOQk3j+sYBIaDjkIl8roL5alRiUEqiCdAYeBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T06:30:36.873801Z"},"content_sha256":"300b5a4370d3912d3a8608fc631e0d8ed87d3504ae9c99ac7ddccd7024c4c450","schema_version":"1.0","event_id":"sha256:300b5a4370d3912d3a8608fc631e0d8ed87d3504ae9c99ac7ddccd7024c4c450"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I62MOHNGGA2ODX2V7RQOJKICHF/bundle.json","state_url":"https://pith.science/pith/I62MOHNGGA2ODX2V7RQOJKICHF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I62MOHNGGA2ODX2V7RQOJKICHF/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":"2026-08-06T06:30:36Z","links":{"resolver":"https://pith.science/pith/I62MOHNGGA2ODX2V7RQOJKICHF","bundle":"https://pith.science/pith/I62MOHNGGA2ODX2V7RQOJKICHF/bundle.json","state":"https://pith.science/pith/I62MOHNGGA2ODX2V7RQOJKICHF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I62MOHNGGA2ODX2V7RQOJKICHF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:I62MOHNGGA2ODX2V7RQOJKICHF","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":"6188c4ce0f874f92c1fe967307eac9c85c5a13db9c3a97d363305b0d3e9ef4a8","cross_cats_sorted":["cs.AI","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-03-01T22:36:05Z","title_canon_sha256":"8ffefa4ecabafae09fd787cb15120e5d25226bbf0525210cd9ddda0da13af864"},"schema_version":"1.0","source":{"id":"2303.00848","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.00848","created_at":"2026-07-05T06:54:14Z"},{"alias_kind":"arxiv_version","alias_value":"2303.00848v7","created_at":"2026-07-05T06:54:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.00848","created_at":"2026-07-05T06:54:14Z"},{"alias_kind":"pith_short_12","alias_value":"I62MOHNGGA2O","created_at":"2026-07-05T06:54:14Z"},{"alias_kind":"pith_short_16","alias_value":"I62MOHNGGA2ODX2V","created_at":"2026-07-05T06:54:14Z"},{"alias_kind":"pith_short_8","alias_value":"I62MOHNG","created_at":"2026-07-05T06:54:14Z"}],"graph_snapshots":[{"event_id":"sha256:300b5a4370d3912d3a8608fc631e0d8ed87d3504ae9c99ac7ddccd7024c4c450","target":"graph","created_at":"2026-07-05T06:54:14Z","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/2303.00848/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"To achieve the highest perceptual quality, state-of-the-art diffusion models are optimized with objectives that typically look very different from the maximum likelihood and the Evidence Lower Bound (ELBO) objectives. In this work, we reveal that diffusion model objectives are actually closely related to the ELBO.\n  Specifically, we show that all commonly used diffusion model objectives equate to a weighted integral of ELBOs over different noise levels, where the weighting depends on the specific objective used. Under the condition of monotonic weighting, the connection is even closer: the dif","authors_text":"Diederik P. Kingma, Ruiqi Gao","cross_cats":["cs.AI","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-03-01T22:36:05Z","title":"Understanding Diffusion Objectives as the ELBO with Simple Data Augmentation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.00848","kind":"arxiv","version":7},"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":"sha256:9a716d6bc5fc68018a90cd531ca3b568ef57f1ea4219a6bb01757e4de92c8dfb","target":"record","created_at":"2026-07-05T06:54:14Z","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":"6188c4ce0f874f92c1fe967307eac9c85c5a13db9c3a97d363305b0d3e9ef4a8","cross_cats_sorted":["cs.AI","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-03-01T22:36:05Z","title_canon_sha256":"8ffefa4ecabafae09fd787cb15120e5d25226bbf0525210cd9ddda0da13af864"},"schema_version":"1.0","source":{"id":"2303.00848","kind":"arxiv","version":7}},"canonical_sha256":"47b4c71da63034e1df55fc60e4a9023941f018945b048dd491bee027cb2263c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47b4c71da63034e1df55fc60e4a9023941f018945b048dd491bee027cb2263c8","first_computed_at":"2026-07-05T06:54:14.956624Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:54:14.956624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fKnvMmtmDBM2QlhbGFMqS17VKkv1k1QTKNC9HfsdWuvAS4EFNQYvWOixg5aNmTfXc4tpKldljZmVCyINiQVDCw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:54:14.957107Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.00848","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a716d6bc5fc68018a90cd531ca3b568ef57f1ea4219a6bb01757e4de92c8dfb","sha256:300b5a4370d3912d3a8608fc631e0d8ed87d3504ae9c99ac7ddccd7024c4c450"],"state_sha256":"d7a157f6ad55900d9dfd7f457f0ca9fe4ba18fb62b6a56820af2d0e258f40b89"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CMk3mVANgrDCbELldGIWxqOGJXa49uNIddgGh74tUBzhrdI0dhz/sJ1HnVUEDPi4whAWCLZl+rkkiA90IjcpAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T06:30:36.879714Z","bundle_sha256":"079ebbb227568f9ff4d29987e73ff0890bfafc630ce17b4a21e373a4928e84e4"}}