Pith Number

pith:XB6TWWXU

pith:1998:XB6TWWXUA5S4HCOD5WHQYPFN2Y

not attested not anchored not stored refs pending

Two-loop renormalization of Wilson loop for Drell-Yan production

A.V. Belitsky

arxiv:hep-ph/9808389 v1 · 1998-08-24 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XB6TWWXUA5S4HCOD5WHQYPFN2Y}

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.

Cited by

1 paper in Pith

Relating amplitude and PDF factorisation through Wilson-line geometries

Receipt and verification

First computed	2026-07-04T16:09:22.940726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b87d3b5af40765c389c3ed8f0c3cadd638932568965bf72cd4e50b7a7983c5a9

Aliases

arxiv: hep-ph/9808389 · arxiv_version: hep-ph/9808389v1 · doi: 10.48550/arxiv.hep-ph/9808389 · pith_short_12: XB6TWWXUA5S4 · pith_short_16: XB6TWWXUA5S4HCOD · pith_short_8: XB6TWWXU

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/XB6TWWXUA5S4HCOD5WHQYPFN2Y \
  | 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: b87d3b5af40765c389c3ed8f0c3cadd638932568965bf72cd4e50b7a7983c5a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcb553b0e8529dabccf83805d17351a2294b47f6ac4b08205330df23bc1d0176",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-08-24T08:23:20Z",
    "title_canon_sha256": "c7112833060c7906ef48b4eef53be8305522afb79a55459abd8fc1f7d9f77915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9808389",
    "kind": "arxiv",
    "version": 1
  }
}