{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:VVTYBIDNLNA6Q57BHM223OPAEJ","short_pith_number":"pith:VVTYBIDN","canonical_record":{"source":{"id":"2507.13259","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-07-17T16:09:04Z","cross_cats_sorted":["math.PR","stat.CO","stat.ML","stat.TH"],"title_canon_sha256":"dfddc0edbbd1b0fd3f3f3654f4732ad0ed298d368ec3f7c4581333d20519134b","abstract_canon_sha256":"8212a81a63a110dff93fe864e5825f37cfdd37cfb0cc185ee3f9d19fa0908245"},"schema_version":"1.0"},"canonical_sha256":"ad6780a06d5b41e877e13b35adb9e02262c2280445e88731c2ae89c550eaaf48","source":{"kind":"arxiv","id":"2507.13259","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.13259","created_at":"2026-07-05T11:38:57Z"},{"alias_kind":"arxiv_version","alias_value":"2507.13259v1","created_at":"2026-07-05T11:38:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.13259","created_at":"2026-07-05T11:38:57Z"},{"alias_kind":"pith_short_12","alias_value":"VVTYBIDNLNA6","created_at":"2026-07-05T11:38:57Z"},{"alias_kind":"pith_short_16","alias_value":"VVTYBIDNLNA6Q57B","created_at":"2026-07-05T11:38:57Z"},{"alias_kind":"pith_short_8","alias_value":"VVTYBIDN","created_at":"2026-07-05T11:38:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:VVTYBIDNLNA6Q57BHM223OPAEJ","target":"record","payload":{"canonical_record":{"source":{"id":"2507.13259","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-07-17T16:09:04Z","cross_cats_sorted":["math.PR","stat.CO","stat.ML","stat.TH"],"title_canon_sha256":"dfddc0edbbd1b0fd3f3f3654f4732ad0ed298d368ec3f7c4581333d20519134b","abstract_canon_sha256":"8212a81a63a110dff93fe864e5825f37cfdd37cfb0cc185ee3f9d19fa0908245"},"schema_version":"1.0"},"canonical_sha256":"ad6780a06d5b41e877e13b35adb9e02262c2280445e88731c2ae89c550eaaf48","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:38:57.550323Z","signature_b64":"1gfXsrdE7FwZoC6jv5+GLQYJFeCjzyX8OqQ5H1Q0DyOk7jimhM8M3DHj8P+31Vl5noUX4cX9vhaHdZT/RozxDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad6780a06d5b41e877e13b35adb9e02262c2280445e88731c2ae89c550eaaf48","last_reissued_at":"2026-07-05T11:38:57.549806Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:38:57.549806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.13259","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":"2026-07-05T11:38:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6M3eFx1tah8poEnbym6yNr02YNSBYz3jKrwmr5T0OR0ed2r5q965CpNZW/Hq8zWe6e5Co+9KUDiSqu2EluKrAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T10:56:38.296355Z"},"content_sha256":"36cfdb3665e48fa13538210ba727730d45f731c4049900a6dcbb5bf412d489ef","schema_version":"1.0","event_id":"sha256:36cfdb3665e48fa13538210ba727730d45f731c4049900a6dcbb5bf412d489ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:VVTYBIDNLNA6Q57BHM223OPAEJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Accelerated Mixing of the No-U-turn Sampler","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.CO","stat.ML","stat.TH"],"primary_cat":"math.ST","authors_text":"Stefan Oberd\\\"orster","submitted_at":"2025-07-17T16:09:04Z","abstract_excerpt":"Recent progress on the theory of variational hypocoercivity established that Randomized Hamiltonian Monte Carlo -- at criticality -- can achieve pronounced acceleration in its convergence and hence sampling performance over diffusive dynamics. Manual critical tuning being unfeasible in practice has motivated automated algorithmic solutions, notably the No-U-turn Sampler. Beyond its empirical success, a rigorous study of this method's ability to achieve accelerated convergence has been missing. We initiate this investigation combining a concentration of measure approach to examine the automatic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.13259","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/2507.13259/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":"2026-07-05T11:38:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YG8G5jlNO5XWVK+YZX1I/PNloVXRn4HFBlFb8vxU3Dax65WP3XHt/licOhhwjIgKKuuPz0U3dQR12qsAzaXrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T10:56:38.296954Z"},"content_sha256":"9bec0da5e3ad4430d5cb741da11ae906cc04b984cea056aca1b202002f4926f6","schema_version":"1.0","event_id":"sha256:9bec0da5e3ad4430d5cb741da11ae906cc04b984cea056aca1b202002f4926f6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VVTYBIDNLNA6Q57BHM223OPAEJ/bundle.json","state_url":"https://pith.science/pith/VVTYBIDNLNA6Q57BHM223OPAEJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VVTYBIDNLNA6Q57BHM223OPAEJ/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":"2026-08-07T10:56:38Z","links":{"resolver":"https://pith.science/pith/VVTYBIDNLNA6Q57BHM223OPAEJ","bundle":"https://pith.science/pith/VVTYBIDNLNA6Q57BHM223OPAEJ/bundle.json","state":"https://pith.science/pith/VVTYBIDNLNA6Q57BHM223OPAEJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VVTYBIDNLNA6Q57BHM223OPAEJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:VVTYBIDNLNA6Q57BHM223OPAEJ","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":"8212a81a63a110dff93fe864e5825f37cfdd37cfb0cc185ee3f9d19fa0908245","cross_cats_sorted":["math.PR","stat.CO","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-07-17T16:09:04Z","title_canon_sha256":"dfddc0edbbd1b0fd3f3f3654f4732ad0ed298d368ec3f7c4581333d20519134b"},"schema_version":"1.0","source":{"id":"2507.13259","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.13259","created_at":"2026-07-05T11:38:57Z"},{"alias_kind":"arxiv_version","alias_value":"2507.13259v1","created_at":"2026-07-05T11:38:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.13259","created_at":"2026-07-05T11:38:57Z"},{"alias_kind":"pith_short_12","alias_value":"VVTYBIDNLNA6","created_at":"2026-07-05T11:38:57Z"},{"alias_kind":"pith_short_16","alias_value":"VVTYBIDNLNA6Q57B","created_at":"2026-07-05T11:38:57Z"},{"alias_kind":"pith_short_8","alias_value":"VVTYBIDN","created_at":"2026-07-05T11:38:57Z"}],"graph_snapshots":[{"event_id":"sha256:9bec0da5e3ad4430d5cb741da11ae906cc04b984cea056aca1b202002f4926f6","target":"graph","created_at":"2026-07-05T11:38:57Z","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/2507.13259/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent progress on the theory of variational hypocoercivity established that Randomized Hamiltonian Monte Carlo -- at criticality -- can achieve pronounced acceleration in its convergence and hence sampling performance over diffusive dynamics. Manual critical tuning being unfeasible in practice has motivated automated algorithmic solutions, notably the No-U-turn Sampler. Beyond its empirical success, a rigorous study of this method's ability to achieve accelerated convergence has been missing. We initiate this investigation combining a concentration of measure approach to examine the automatic","authors_text":"Stefan Oberd\\\"orster","cross_cats":["math.PR","stat.CO","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-07-17T16:09:04Z","title":"On Accelerated Mixing of the No-U-turn Sampler"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.13259","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":"sha256:36cfdb3665e48fa13538210ba727730d45f731c4049900a6dcbb5bf412d489ef","target":"record","created_at":"2026-07-05T11:38:57Z","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":"8212a81a63a110dff93fe864e5825f37cfdd37cfb0cc185ee3f9d19fa0908245","cross_cats_sorted":["math.PR","stat.CO","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-07-17T16:09:04Z","title_canon_sha256":"dfddc0edbbd1b0fd3f3f3654f4732ad0ed298d368ec3f7c4581333d20519134b"},"schema_version":"1.0","source":{"id":"2507.13259","kind":"arxiv","version":1}},"canonical_sha256":"ad6780a06d5b41e877e13b35adb9e02262c2280445e88731c2ae89c550eaaf48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad6780a06d5b41e877e13b35adb9e02262c2280445e88731c2ae89c550eaaf48","first_computed_at":"2026-07-05T11:38:57.549806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:38:57.549806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1gfXsrdE7FwZoC6jv5+GLQYJFeCjzyX8OqQ5H1Q0DyOk7jimhM8M3DHj8P+31Vl5noUX4cX9vhaHdZT/RozxDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:38:57.550323Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.13259","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36cfdb3665e48fa13538210ba727730d45f731c4049900a6dcbb5bf412d489ef","sha256:9bec0da5e3ad4430d5cb741da11ae906cc04b984cea056aca1b202002f4926f6"],"state_sha256":"2416296ad8a36ff48533cda63141a0426de8eafe5eeec13606ceefc0abc67460"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WAaAkkAEO7WlyZDY4SlqaD19JEMsbBGajInhbhf8l0H5WNJJrc+/mn5j4UMNoPWC1w9uVtxDDKG07AbiLcOIDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T10:56:38.301276Z","bundle_sha256":"38d8ac9640a87073cb8e99f943052750e859a232ad06c22732760c38dc377cdb"}}