Pith Number

pith:QDRUGVJT

pith:1998:QDRUGVJTBL3EB3LWLXXHCZCUQE

not attested not anchored not stored refs pending

QCD Calculations by Numerical Integration

Davison E. Soper

arxiv:hep-ph/9804454 v1 · 1998-04-30 · 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{QDRUGVJTBL3EB3LWLXXHCZCUQE}

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

Positive Integrands from Feynman Integrals in the Minkowski Regime

Receipt and verification

First computed	2026-07-04T16:09:14.830340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80e34355330af640ed765dee71645481300a1ad53cc8a7e568c056b23ba15da8

Aliases

arxiv: hep-ph/9804454 · arxiv_version: hep-ph/9804454v1 · doi: 10.48550/arxiv.hep-ph/9804454 · pith_short_12: QDRUGVJTBL3E · pith_short_16: QDRUGVJTBL3EB3LW · pith_short_8: QDRUGVJT

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/QDRUGVJTBL3EB3LWLXXHCZCUQE \
  | 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: 80e34355330af640ed765dee71645481300a1ad53cc8a7e568c056b23ba15da8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda6f6db4603afc5d0c73b2a433395e71ed803d3a4317e8b67ba92d6a61b148a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-04-30T02:20:11Z",
    "title_canon_sha256": "bf51645fa5f1dd476d61d6ae399b5650eceda063e4f733bb9cbec591518782d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9804454",
    "kind": "arxiv",
    "version": 1
  }
}