{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:TGTPWCZG4LXBRO5OB6AAV6U4TA","short_pith_number":"pith:TGTPWCZG","canonical_record":{"source":{"id":"2202.01908","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2022-02-03T23:39:15Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"2ddb77c6ac0c2c7d687625a268e0a71777a738a876321623ab42b07b2fef47f1","abstract_canon_sha256":"293c2274ddd5baa307524973473c007794c2af703a85f5d91b3984dfe7f27bee"},"schema_version":"1.0"},"canonical_sha256":"99a6fb0b26e2ee18bbae0f800afa9c98043150d696defcca1250a935d9063765","source":{"kind":"arxiv","id":"2202.01908","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.01908","created_at":"2026-07-05T05:06:54Z"},{"alias_kind":"arxiv_version","alias_value":"2202.01908v2","created_at":"2026-07-05T05:06:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.01908","created_at":"2026-07-05T05:06:54Z"},{"alias_kind":"pith_short_12","alias_value":"TGTPWCZG4LXB","created_at":"2026-07-05T05:06:54Z"},{"alias_kind":"pith_short_16","alias_value":"TGTPWCZG4LXBRO5O","created_at":"2026-07-05T05:06:54Z"},{"alias_kind":"pith_short_8","alias_value":"TGTPWCZG","created_at":"2026-07-05T05:06:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:TGTPWCZG4LXBRO5OB6AAV6U4TA","target":"record","payload":{"canonical_record":{"source":{"id":"2202.01908","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2022-02-03T23:39:15Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"2ddb77c6ac0c2c7d687625a268e0a71777a738a876321623ab42b07b2fef47f1","abstract_canon_sha256":"293c2274ddd5baa307524973473c007794c2af703a85f5d91b3984dfe7f27bee"},"schema_version":"1.0"},"canonical_sha256":"99a6fb0b26e2ee18bbae0f800afa9c98043150d696defcca1250a935d9063765","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:06:54.702196Z","signature_b64":"IVqlqkR8BGhuAjA7wS4zYf53AVabcwMJ8VGrfyCD/oPXsxcXIkFhezaCH7h0A+7DI3gFE7Ax/r6AHFmIiJRgBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99a6fb0b26e2ee18bbae0f800afa9c98043150d696defcca1250a935d9063765","last_reissued_at":"2026-07-05T05:06:54.701640Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:06:54.701640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2202.01908","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:06:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0uhqTJh2O1oWeC4KA7XT1NBX7mYgkkB1uRKpxHVEIkWQAR6H0kaSfXolDDAygFMBf0HhlsHl5JMdse2JLunBAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T20:41:43.506590Z"},"content_sha256":"8a5321545ffa535db0968b8b9de57af9c6c36e8f0af8d4f1898b94ce4446d3ba","schema_version":"1.0","event_id":"sha256:8a5321545ffa535db0968b8b9de57af9c6c36e8f0af8d4f1898b94ce4446d3ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:TGTPWCZG4LXBRO5OB6AAV6U4TA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sampling with Riemannian Hamiltonian Monte Carlo in a Constrained Space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.LG","authors_text":"Ruoqi Shen, Santosh S. Vempala, Yin Tat Lee, Yunbum Kook","submitted_at":"2022-02-03T23:39:15Z","abstract_excerpt":"We demonstrate for the first time that ill-conditioned, non-smooth, constrained distributions in very high dimension, upwards of 100,000, can be sampled efficiently $\\textit{in practice}$. Our algorithm incorporates constraints into the Riemannian version of Hamiltonian Monte Carlo and maintains sparsity. This allows us to achieve a mixing rate independent of smoothness and condition numbers.\n  On benchmark data sets in systems biology and linear programming, our algorithm outperforms existing packages by orders of magnitude. In particular, we achieve a 1,000-fold speed-up for sampling from th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.01908","kind":"arxiv","version":2},"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/2202.01908/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":"2026-07-05T05:06:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uBp0EcGnH74/vnjO4TrkHEZp9/cp7Sd2YMNThoJgDPFcsDuAYUbRB+JUn3QBXb52ZfHvmJQ0oZ9TBp/ZnG13Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T20:41:43.509021Z"},"content_sha256":"6a456186c69d9339bfc94e42572016ad47c5c2f63a5183c0bd3087f29cf3c5b2","schema_version":"1.0","event_id":"sha256:6a456186c69d9339bfc94e42572016ad47c5c2f63a5183c0bd3087f29cf3c5b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TGTPWCZG4LXBRO5OB6AAV6U4TA/bundle.json","state_url":"https://pith.science/pith/TGTPWCZG4LXBRO5OB6AAV6U4TA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TGTPWCZG4LXBRO5OB6AAV6U4TA/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":"2026-07-31T20:41:43Z","links":{"resolver":"https://pith.science/pith/TGTPWCZG4LXBRO5OB6AAV6U4TA","bundle":"https://pith.science/pith/TGTPWCZG4LXBRO5OB6AAV6U4TA/bundle.json","state":"https://pith.science/pith/TGTPWCZG4LXBRO5OB6AAV6U4TA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TGTPWCZG4LXBRO5OB6AAV6U4TA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:TGTPWCZG4LXBRO5OB6AAV6U4TA","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":"293c2274ddd5baa307524973473c007794c2af703a85f5d91b3984dfe7f27bee","cross_cats_sorted":["cs.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2022-02-03T23:39:15Z","title_canon_sha256":"2ddb77c6ac0c2c7d687625a268e0a71777a738a876321623ab42b07b2fef47f1"},"schema_version":"1.0","source":{"id":"2202.01908","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.01908","created_at":"2026-07-05T05:06:54Z"},{"alias_kind":"arxiv_version","alias_value":"2202.01908v2","created_at":"2026-07-05T05:06:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.01908","created_at":"2026-07-05T05:06:54Z"},{"alias_kind":"pith_short_12","alias_value":"TGTPWCZG4LXB","created_at":"2026-07-05T05:06:54Z"},{"alias_kind":"pith_short_16","alias_value":"TGTPWCZG4LXBRO5O","created_at":"2026-07-05T05:06:54Z"},{"alias_kind":"pith_short_8","alias_value":"TGTPWCZG","created_at":"2026-07-05T05:06:54Z"}],"graph_snapshots":[{"event_id":"sha256:6a456186c69d9339bfc94e42572016ad47c5c2f63a5183c0bd3087f29cf3c5b2","target":"graph","created_at":"2026-07-05T05:06:54Z","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/2202.01908/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We demonstrate for the first time that ill-conditioned, non-smooth, constrained distributions in very high dimension, upwards of 100,000, can be sampled efficiently $\\textit{in practice}$. Our algorithm incorporates constraints into the Riemannian version of Hamiltonian Monte Carlo and maintains sparsity. This allows us to achieve a mixing rate independent of smoothness and condition numbers.\n  On benchmark data sets in systems biology and linear programming, our algorithm outperforms existing packages by orders of magnitude. In particular, we achieve a 1,000-fold speed-up for sampling from th","authors_text":"Ruoqi Shen, Santosh S. Vempala, Yin Tat Lee, Yunbum Kook","cross_cats":["cs.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2022-02-03T23:39:15Z","title":"Sampling with Riemannian Hamiltonian Monte Carlo in a Constrained Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.01908","kind":"arxiv","version":2},"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":"sha256:8a5321545ffa535db0968b8b9de57af9c6c36e8f0af8d4f1898b94ce4446d3ba","target":"record","created_at":"2026-07-05T05:06:54Z","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":"293c2274ddd5baa307524973473c007794c2af703a85f5d91b3984dfe7f27bee","cross_cats_sorted":["cs.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2022-02-03T23:39:15Z","title_canon_sha256":"2ddb77c6ac0c2c7d687625a268e0a71777a738a876321623ab42b07b2fef47f1"},"schema_version":"1.0","source":{"id":"2202.01908","kind":"arxiv","version":2}},"canonical_sha256":"99a6fb0b26e2ee18bbae0f800afa9c98043150d696defcca1250a935d9063765","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99a6fb0b26e2ee18bbae0f800afa9c98043150d696defcca1250a935d9063765","first_computed_at":"2026-07-05T05:06:54.701640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:06:54.701640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IVqlqkR8BGhuAjA7wS4zYf53AVabcwMJ8VGrfyCD/oPXsxcXIkFhezaCH7h0A+7DI3gFE7Ax/r6AHFmIiJRgBA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:06:54.702196Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.01908","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a5321545ffa535db0968b8b9de57af9c6c36e8f0af8d4f1898b94ce4446d3ba","sha256:6a456186c69d9339bfc94e42572016ad47c5c2f63a5183c0bd3087f29cf3c5b2"],"state_sha256":"c4a326b34a73fec832c4de904747a4de8bbde70b8d8ee0dab09e5d024be32f17"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tWHPZ1i+iSF4pIn5yAE1GeVKMS6JSwYAGl7LFXpyRyQYx2J1Jofx5gV32cg6UmVnnntTyh/SWr7EP5NILuZYBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T20:41:43.514877Z","bundle_sha256":"4ab7ddd7edcb40d562fe04f8dde3d44ea29bda0779868039c09c7e87ce63e232"}}