Pith Number

pith:7N5BCEJY

pith:2005:7N5BCEJY74AK4US577Q2LBJ2DK

not attested not anchored not stored refs pending

Reduction schemes for one-loop tensor integrals

A. Denner, S. Dittmaier

arxiv:hep-ph/0509141 v2 · 2005-09-14 · 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{7N5BCEJY74AK4US577Q2LBJ2DK}

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

Monte Carlo Event Generators for Future Lepton Colliders

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

Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations

Receipt and verification

First computed	2026-07-04T15:26:01.701689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb7a111138ff00ae525dffe1a5853a1a8f540101c8eb45fc5443dc2149539979

Aliases

arxiv: hep-ph/0509141 · arxiv_version: hep-ph/0509141v2 · doi: 10.48550/arxiv.hep-ph/0509141 · pith_short_12: 7N5BCEJY74AK · pith_short_16: 7N5BCEJY74AK4US5 · pith_short_8: 7N5BCEJY

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/7N5BCEJY74AK4US577Q2LBJ2DK \
  | 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: fb7a111138ff00ae525dffe1a5853a1a8f540101c8eb45fc5443dc2149539979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6826ca9b7f0813420d29b269abb9e02078763bd924f3e69dcbd951179401d8be",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-09-14T10:52:00Z",
    "title_canon_sha256": "494bdfa7caa06a109e6c45f73ab65d1dc020e080ac40313696b244bc12923200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0509141",
    "kind": "arxiv",
    "version": 2
  }
}