Pith Number

pith:NJAA3L5A

pith:2002:NJAA3L5AU5AHGD3E6FBQGNLPBF

not attested not anchored not stored refs pending

Reduction of one-loop tensor 5-point integrals

A. Denner, S. Dittmaier

arxiv:hep-ph/0212259 v2 · 2002-12-18 · 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{NJAA3L5AU5AHGD3E6FBQGNLPBF}

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

4 papers in Pith

Radiative Corrections to Elastic Lepton-Proton Scattering with Focus on Two-Photon-Exchange Diagrams

Renormalisation in Open Quantum Field theory II: Yukawa theory and PV reduction

Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations

Disperon QED

Receipt and verification

First computed	2026-07-04T15:20:20.520351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a400dafa0a740730f64f14303356f0962e497ef00106226d0283e06d66af80d

Aliases

arxiv: hep-ph/0212259 · arxiv_version: hep-ph/0212259v2 · doi: 10.48550/arxiv.hep-ph/0212259 · pith_short_12: NJAA3L5AU5AH · pith_short_16: NJAA3L5AU5AHGD3E · pith_short_8: NJAA3L5A

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/NJAA3L5AU5AHGD3E6FBQGNLPBF \
  | 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: 6a400dafa0a740730f64f14303356f0962e497ef00106226d0283e06d66af80d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eeca74323b0fad9c211b4ae28cc00eea58fae54758988c5fdc17e37d700b290",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-12-18T11:15:26Z",
    "title_canon_sha256": "a7c6732fa2a4f5997acde62e3be51412be27cfde6d7458bd393d5594a115f482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0212259",
    "kind": "arxiv",
    "version": 2
  }
}