{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:UUNLLRWSMXN2V6QKWA43VU5ENX","short_pith_number":"pith:UUNLLRWS","canonical_record":{"source":{"id":"2006.13998","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-06-24T18:56:44Z","cross_cats_sorted":["cs.LG","stat.ML","stat.TH"],"title_canon_sha256":"1c1fcb8d93220796a4425c1b05f603d36c4665e013ee44d3b0d62065a46f9025","abstract_canon_sha256":"11c79518c6679272f7891b1416db4b524c8177493676580471d8bf443fcfba99"},"schema_version":"1.0"},"canonical_sha256":"a51ab5c6d265dbaafa0ab039bad3a46debdd09b266d830fb7b9c887bc608b48a","source":{"kind":"arxiv","id":"2006.13998","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.13998","created_at":"2026-07-05T01:13:28Z"},{"alias_kind":"arxiv_version","alias_value":"2006.13998v1","created_at":"2026-07-05T01:13:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.13998","created_at":"2026-07-05T01:13:28Z"},{"alias_kind":"pith_short_12","alias_value":"UUNLLRWSMXN2","created_at":"2026-07-05T01:13:28Z"},{"alias_kind":"pith_short_16","alias_value":"UUNLLRWSMXN2V6QK","created_at":"2026-07-05T01:13:28Z"},{"alias_kind":"pith_short_8","alias_value":"UUNLLRWS","created_at":"2026-07-05T01:13:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:UUNLLRWSMXN2V6QKWA43VU5ENX","target":"record","payload":{"canonical_record":{"source":{"id":"2006.13998","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-06-24T18:56:44Z","cross_cats_sorted":["cs.LG","stat.ML","stat.TH"],"title_canon_sha256":"1c1fcb8d93220796a4425c1b05f603d36c4665e013ee44d3b0d62065a46f9025","abstract_canon_sha256":"11c79518c6679272f7891b1416db4b524c8177493676580471d8bf443fcfba99"},"schema_version":"1.0"},"canonical_sha256":"a51ab5c6d265dbaafa0ab039bad3a46debdd09b266d830fb7b9c887bc608b48a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:13:28.204002Z","signature_b64":"hw9ynVf2iD5Hy2nmF9prLahhens2u+ZWuZ2DaC9RDMQPpohH+2M5BlidMig0b9cJvj6fGn9TTfS6HZjOwHQRAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a51ab5c6d265dbaafa0ab039bad3a46debdd09b266d830fb7b9c887bc608b48a","last_reissued_at":"2026-07-05T01:13:28.203426Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:13:28.203426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.13998","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:13:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T6lkKnrjeqRrDtejJKhOjbV26HNZb1WT9UHdDBm2CLYlk/kmpbQOP5+fgX2i08qM/tuSg24OcmSl7XHCKdkZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T08:42:19.786535Z"},"content_sha256":"431e27b6559fb1e34f9446985e37667c097cb6c1dbbc83720541e630cfd93ab3","schema_version":"1.0","event_id":"sha256:431e27b6559fb1e34f9446985e37667c097cb6c1dbbc83720541e630cfd93ab3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:UUNLLRWSMXN2V6QKWA43VU5ENX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Penalized Langevin dynamics with vanishing penalty for smooth and log-concave targets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","stat.ML","stat.TH"],"primary_cat":"math.ST","authors_text":"Arnak S. Dalalyan, Avetik Karagulyan","submitted_at":"2020-06-24T18:56:44Z","abstract_excerpt":"We study the problem of sampling from a probability distribution on $\\mathbb R^p$ defined via a convex and smooth potential function. We consider a continuous-time diffusion-type process, termed Penalized Langevin dynamics (PLD), the drift of which is the negative gradient of the potential plus a linear penalty that vanishes when time goes to infinity. An upper bound on the Wasserstein-2 distance between the distribution of the PLD at time $t$ and the target is established. This upper bound highlights the influence of the speed of decay of the penalty on the accuracy of the approximation. As a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.13998","kind":"arxiv","version":1},"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/2006.13998/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":"2026-07-05T01:13:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A4y17Q3fNntv/1/Qf8UmETKjnPtMGhveM/+UoFLDq7v3mnobvVfebpliPAYKgEd9Le+xiADpfNWpYXcLqk5/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T08:42:19.786906Z"},"content_sha256":"fadf0ffae75e3a33977cb744b52c81857dc38d04d13cc5ffae63b2f29a6b5264","schema_version":"1.0","event_id":"sha256:fadf0ffae75e3a33977cb744b52c81857dc38d04d13cc5ffae63b2f29a6b5264"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UUNLLRWSMXN2V6QKWA43VU5ENX/bundle.json","state_url":"https://pith.science/pith/UUNLLRWSMXN2V6QKWA43VU5ENX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UUNLLRWSMXN2V6QKWA43VU5ENX/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":"2026-07-05T08:42:19Z","links":{"resolver":"https://pith.science/pith/UUNLLRWSMXN2V6QKWA43VU5ENX","bundle":"https://pith.science/pith/UUNLLRWSMXN2V6QKWA43VU5ENX/bundle.json","state":"https://pith.science/pith/UUNLLRWSMXN2V6QKWA43VU5ENX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UUNLLRWSMXN2V6QKWA43VU5ENX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:UUNLLRWSMXN2V6QKWA43VU5ENX","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":"11c79518c6679272f7891b1416db4b524c8177493676580471d8bf443fcfba99","cross_cats_sorted":["cs.LG","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-06-24T18:56:44Z","title_canon_sha256":"1c1fcb8d93220796a4425c1b05f603d36c4665e013ee44d3b0d62065a46f9025"},"schema_version":"1.0","source":{"id":"2006.13998","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.13998","created_at":"2026-07-05T01:13:28Z"},{"alias_kind":"arxiv_version","alias_value":"2006.13998v1","created_at":"2026-07-05T01:13:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.13998","created_at":"2026-07-05T01:13:28Z"},{"alias_kind":"pith_short_12","alias_value":"UUNLLRWSMXN2","created_at":"2026-07-05T01:13:28Z"},{"alias_kind":"pith_short_16","alias_value":"UUNLLRWSMXN2V6QK","created_at":"2026-07-05T01:13:28Z"},{"alias_kind":"pith_short_8","alias_value":"UUNLLRWS","created_at":"2026-07-05T01:13:28Z"}],"graph_snapshots":[{"event_id":"sha256:fadf0ffae75e3a33977cb744b52c81857dc38d04d13cc5ffae63b2f29a6b5264","target":"graph","created_at":"2026-07-05T01:13:28Z","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/2006.13998/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the problem of sampling from a probability distribution on $\\mathbb R^p$ defined via a convex and smooth potential function. We consider a continuous-time diffusion-type process, termed Penalized Langevin dynamics (PLD), the drift of which is the negative gradient of the potential plus a linear penalty that vanishes when time goes to infinity. An upper bound on the Wasserstein-2 distance between the distribution of the PLD at time $t$ and the target is established. This upper bound highlights the influence of the speed of decay of the penalty on the accuracy of the approximation. As a","authors_text":"Arnak S. Dalalyan, Avetik Karagulyan","cross_cats":["cs.LG","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-06-24T18:56:44Z","title":"Penalized Langevin dynamics with vanishing penalty for smooth and log-concave targets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.13998","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":"sha256:431e27b6559fb1e34f9446985e37667c097cb6c1dbbc83720541e630cfd93ab3","target":"record","created_at":"2026-07-05T01:13:28Z","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":"11c79518c6679272f7891b1416db4b524c8177493676580471d8bf443fcfba99","cross_cats_sorted":["cs.LG","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-06-24T18:56:44Z","title_canon_sha256":"1c1fcb8d93220796a4425c1b05f603d36c4665e013ee44d3b0d62065a46f9025"},"schema_version":"1.0","source":{"id":"2006.13998","kind":"arxiv","version":1}},"canonical_sha256":"a51ab5c6d265dbaafa0ab039bad3a46debdd09b266d830fb7b9c887bc608b48a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a51ab5c6d265dbaafa0ab039bad3a46debdd09b266d830fb7b9c887bc608b48a","first_computed_at":"2026-07-05T01:13:28.203426Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:13:28.203426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hw9ynVf2iD5Hy2nmF9prLahhens2u+ZWuZ2DaC9RDMQPpohH+2M5BlidMig0b9cJvj6fGn9TTfS6HZjOwHQRAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:13:28.204002Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.13998","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:431e27b6559fb1e34f9446985e37667c097cb6c1dbbc83720541e630cfd93ab3","sha256:fadf0ffae75e3a33977cb744b52c81857dc38d04d13cc5ffae63b2f29a6b5264"],"state_sha256":"3a58b7e3ab44b52e4075087d89edda3dd34dcc05c66518a474b4ec8a4e38bdf9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o3LrEiN7j3w02juobrbRH7yCkHwNQSJXAIl5DvifP5nu02pnzyJ74Q+DjVBitQmTPqQXyX/NyKPruNYRFrFRBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T08:42:19.788796Z","bundle_sha256":"640a22fe7ae4d41badbda438606493f35df029457c78b7d99754b12fcb217b2d"}}