Pith Number

pith:ZXLYZQU3

pith:2011:ZXLYZQU3EVYXRXQIUESOPWXG34

not attested not anchored not stored refs pending

The Geometry of Hamiltonian Monte Carlo

Leo C. Stein, Michael Betancourt

arxiv:1112.4118 v1 · 2011-12-18 · stat.ME · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXLYZQU3EVYXRXQIUESOPWXG34}

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	2026-05-18T04:06:06.996863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdd78cc29b257178de08a124e7dae6df040d62d86fa7152de310fa028fbdeb4e

Aliases

arxiv: 1112.4118 · arxiv_version: 1112.4118v1 · doi: 10.48550/arxiv.1112.4118 · pith_short_12: ZXLYZQU3EVYX · pith_short_16: ZXLYZQU3EVYXRXQI · pith_short_8: ZXLYZQU3

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/ZXLYZQU3EVYXRXQIUESOPWXG34 \
  | 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: cdd78cc29b257178de08a124e7dae6df040d62d86fa7152de310fa028fbdeb4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f1ce014d38f174b1c8e3d2a7267e698a7ed1e652800c5a6e4c62fc49149525e",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2011-12-18T06:15:19Z",
    "title_canon_sha256": "b833287290c46f318c1ab662853aab1abf488844abe81140a654c00287ed7eda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4118",
    "kind": "arxiv",
    "version": 1
  }
}