Pith Number

pith:WUPMEVPO

pith:1999:WUPMEVPO5ZLXOHKDA6FOICJH33

not attested not anchored not stored refs pending

Perturbative two- and three-loop coefficients from large beta Monte Carlo

G. P. Lepage, H. D. Trottier, N. H. Shakespeare, P. B. Mackenzie

arxiv:hep-lat/9910018 v1 · 1999-10-07 · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUPMEVPO5ZLXOHKDA6FOICJH33}

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	2026-05-18T01:39:10.337888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b51ec255eeee57771d43078ae40927dedefd211300821dbd191e821ef7767754

Aliases

arxiv: hep-lat/9910018 · arxiv_version: hep-lat/9910018v1 · doi: 10.48550/arxiv.hep-lat/9910018 · pith_short_12: WUPMEVPO5ZLX · pith_short_16: WUPMEVPO5ZLXOHKD · pith_short_8: WUPMEVPO

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/WUPMEVPO5ZLXOHKDA6FOICJH33 \
  | 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: b51ec255eeee57771d43078ae40927dedefd211300821dbd191e821ef7767754

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e40b653918aa01a321526fb7faa07d1c1580425b1775b4e9c41dcd72192c40",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "1999-10-07T19:07:59Z",
    "title_canon_sha256": "4cbb73262d21f4a22cd5137403edbd033ab9559c58cd495fedc6d1e8afd263af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/9910018",
    "kind": "arxiv",
    "version": 1
  }
}