Pith Number

pith:QP6NCGDQ

pith:2026:QP6NCGDQ6CZ4AEV3REP37HE3CG

not attested not anchored not stored refs pending

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin

Jonathan Niles-Weed, Jonathan Weare, Xiaoou Cheng, Yifan Chen

arxiv:2607.15208 v1 · 2026-07-16 · stat.CO · cs.LG · math.PR · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QP6NCGDQ6CZ4AEV3REP37HE3CG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-17T01:22:14.622690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83fcd11870f0b3c012bb891fbf9c9b119d9811cee4fc799034a249703973f47b

Aliases

arxiv: 2607.15208 · arxiv_version: 2607.15208v1 · doi: 10.48550/arxiv.2607.15208 · pith_short_12: QP6NCGDQ6CZ4 · pith_short_16: QP6NCGDQ6CZ4AEV3 · pith_short_8: QP6NCGDQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QP6NCGDQ6CZ4AEV3REP37HE3CG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 83fcd11870f0b3c012bb891fbf9c9b119d9811cee4fc799034a249703973f47b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c5c87ab16917a6ed9b9e75899a315f62912b9c6f3873375b370432b69dfa92",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2026-07-16T17:07:42Z",
    "title_canon_sha256": "ad9135ff7640ecd2fbf0979a974582dacfc2bf5cf05217db45fad2f46cad4441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15208",
    "kind": "arxiv",
    "version": 1
  }
}