{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:ROMGTNKGYIOF4P3W5VQCMUAZM2","short_pith_number":"pith:ROMGTNKG","canonical_record":{"source":{"id":"2112.07068","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2021-12-14T00:01:34Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"04c19ce6d419bfea2bc778b66e4d9a599d55fbfed8102b6763fc5e90fba52357","abstract_canon_sha256":"5a0f4a46ad8aaead2623158aa90e8368e1462ea1b0f152559f939a1f60bf2dac"},"schema_version":"1.0"},"canonical_sha256":"8b9869b546c21c5e3f76ed602650196699813b965cc31db16967bd6d86094ca4","source":{"kind":"arxiv","id":"2112.07068","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.07068","created_at":"2026-07-05T04:08:27Z"},{"alias_kind":"arxiv_version","alias_value":"2112.07068v4","created_at":"2026-07-05T04:08:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.07068","created_at":"2026-07-05T04:08:27Z"},{"alias_kind":"pith_short_12","alias_value":"ROMGTNKGYIOF","created_at":"2026-07-05T04:08:27Z"},{"alias_kind":"pith_short_16","alias_value":"ROMGTNKGYIOF4P3W","created_at":"2026-07-05T04:08:27Z"},{"alias_kind":"pith_short_8","alias_value":"ROMGTNKG","created_at":"2026-07-05T04:08:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:ROMGTNKGYIOF4P3W5VQCMUAZM2","target":"record","payload":{"canonical_record":{"source":{"id":"2112.07068","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2021-12-14T00:01:34Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"04c19ce6d419bfea2bc778b66e4d9a599d55fbfed8102b6763fc5e90fba52357","abstract_canon_sha256":"5a0f4a46ad8aaead2623158aa90e8368e1462ea1b0f152559f939a1f60bf2dac"},"schema_version":"1.0"},"canonical_sha256":"8b9869b546c21c5e3f76ed602650196699813b965cc31db16967bd6d86094ca4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:08:27.739815Z","signature_b64":"OR38r+iqcHF/GDkOqTzV43Zh7Iz2jX47spqLCXrlcvQsJ1NgDY7hHDlj9xJ6VX1IGoIw62r62JOFacI+uBA8DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b9869b546c21c5e3f76ed602650196699813b965cc31db16967bd6d86094ca4","last_reissued_at":"2026-07-05T04:08:27.739343Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:08:27.739343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.07068","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:08:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r8w5oHucQwl6Vkef1YBARMwUyUGA/rhfhmcZvxsZGloxdizmQsYvGHgKMCgmpD5OhN876AtBU7XaYZwutd+6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T14:13:43.821157Z"},"content_sha256":"f16f460d17a35605c8c54dd9ca0aad5561ea6c4b7800a812f9b96b4d124e6c85","schema_version":"1.0","event_id":"sha256:f16f460d17a35605c8c54dd9ca0aad5561ea6c4b7800a812f9b96b4d124e6c85"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:ROMGTNKGYIOF4P3W5VQCMUAZM2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Score-Based Generative Modeling with Critically-Damped Langevin Diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Arash Vahdat, Karsten Kreis, Tim Dockhorn","submitted_at":"2021-12-14T00:01:34Z","abstract_excerpt":"Score-based generative models (SGMs) have demonstrated remarkable synthesis quality. SGMs rely on a diffusion process that gradually perturbs the data towards a tractable distribution, while the generative model learns to denoise. The complexity of this denoising task is, apart from the data distribution itself, uniquely determined by the diffusion process. We argue that current SGMs employ overly simplistic diffusions, leading to unnecessarily complex denoising processes, which limit generative modeling performance. Based on connections to statistical mechanics, we propose a novel critically-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.07068","kind":"arxiv","version":4},"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/2112.07068/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":"2026-07-05T04:08:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"syYdbX5LbSfGUoY668rk9PqZ2nuRP9aJMOKrNR2nny9dCPPVsZWZseFmchQF03KpW2MT+RioNzOP5KOVmPgtAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T14:13:43.821551Z"},"content_sha256":"0606da92fd6af8e6ec967ca3cc6ed4c0a7c990b460f4607bbb31dbf6b751e300","schema_version":"1.0","event_id":"sha256:0606da92fd6af8e6ec967ca3cc6ed4c0a7c990b460f4607bbb31dbf6b751e300"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ROMGTNKGYIOF4P3W5VQCMUAZM2/bundle.json","state_url":"https://pith.science/pith/ROMGTNKGYIOF4P3W5VQCMUAZM2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ROMGTNKGYIOF4P3W5VQCMUAZM2/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":"2026-07-06T14:13:43Z","links":{"resolver":"https://pith.science/pith/ROMGTNKGYIOF4P3W5VQCMUAZM2","bundle":"https://pith.science/pith/ROMGTNKGYIOF4P3W5VQCMUAZM2/bundle.json","state":"https://pith.science/pith/ROMGTNKGYIOF4P3W5VQCMUAZM2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ROMGTNKGYIOF4P3W5VQCMUAZM2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ROMGTNKGYIOF4P3W5VQCMUAZM2","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":"5a0f4a46ad8aaead2623158aa90e8368e1462ea1b0f152559f939a1f60bf2dac","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2021-12-14T00:01:34Z","title_canon_sha256":"04c19ce6d419bfea2bc778b66e4d9a599d55fbfed8102b6763fc5e90fba52357"},"schema_version":"1.0","source":{"id":"2112.07068","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.07068","created_at":"2026-07-05T04:08:27Z"},{"alias_kind":"arxiv_version","alias_value":"2112.07068v4","created_at":"2026-07-05T04:08:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.07068","created_at":"2026-07-05T04:08:27Z"},{"alias_kind":"pith_short_12","alias_value":"ROMGTNKGYIOF","created_at":"2026-07-05T04:08:27Z"},{"alias_kind":"pith_short_16","alias_value":"ROMGTNKGYIOF4P3W","created_at":"2026-07-05T04:08:27Z"},{"alias_kind":"pith_short_8","alias_value":"ROMGTNKG","created_at":"2026-07-05T04:08:27Z"}],"graph_snapshots":[{"event_id":"sha256:0606da92fd6af8e6ec967ca3cc6ed4c0a7c990b460f4607bbb31dbf6b751e300","target":"graph","created_at":"2026-07-05T04:08:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2112.07068/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Score-based generative models (SGMs) have demonstrated remarkable synthesis quality. SGMs rely on a diffusion process that gradually perturbs the data towards a tractable distribution, while the generative model learns to denoise. The complexity of this denoising task is, apart from the data distribution itself, uniquely determined by the diffusion process. We argue that current SGMs employ overly simplistic diffusions, leading to unnecessarily complex denoising processes, which limit generative modeling performance. Based on connections to statistical mechanics, we propose a novel critically-","authors_text":"Arash Vahdat, Karsten Kreis, Tim Dockhorn","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2021-12-14T00:01:34Z","title":"Score-Based Generative Modeling with Critically-Damped Langevin Diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.07068","kind":"arxiv","version":4},"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:f16f460d17a35605c8c54dd9ca0aad5561ea6c4b7800a812f9b96b4d124e6c85","target":"record","created_at":"2026-07-05T04:08:27Z","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":"5a0f4a46ad8aaead2623158aa90e8368e1462ea1b0f152559f939a1f60bf2dac","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2021-12-14T00:01:34Z","title_canon_sha256":"04c19ce6d419bfea2bc778b66e4d9a599d55fbfed8102b6763fc5e90fba52357"},"schema_version":"1.0","source":{"id":"2112.07068","kind":"arxiv","version":4}},"canonical_sha256":"8b9869b546c21c5e3f76ed602650196699813b965cc31db16967bd6d86094ca4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b9869b546c21c5e3f76ed602650196699813b965cc31db16967bd6d86094ca4","first_computed_at":"2026-07-05T04:08:27.739343Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:08:27.739343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OR38r+iqcHF/GDkOqTzV43Zh7Iz2jX47spqLCXrlcvQsJ1NgDY7hHDlj9xJ6VX1IGoIw62r62JOFacI+uBA8DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:08:27.739815Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.07068","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f16f460d17a35605c8c54dd9ca0aad5561ea6c4b7800a812f9b96b4d124e6c85","sha256:0606da92fd6af8e6ec967ca3cc6ed4c0a7c990b460f4607bbb31dbf6b751e300"],"state_sha256":"fe4035e948fe45c8e5b7d657253550be2ff72b6dc47e88a2e12b3e9440b2caea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a0ZTArc7rlVOWb09Nn4VuLx8nJ/773A+ILZVbwVJXG9AVjaWmM5yVfvKhGLvMLWFfpTZRzNxwZPYgrPNrdQtDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T14:13:43.823818Z","bundle_sha256":"9049385c9ac25d41bfb46c2aa41170d9dafd1e6139622403a16c424114d5d3bd"}}