Pith Number

pith:YZSUGT22

pith:2000:YZSUGT22TO7D4XBGEG4G44MSTD

not attested not anchored not stored refs pending

The three loop on-shell renormalization of QCD and QED

Kirill Melnikov, Timo van Ritbergen

arxiv:hep-ph/0005131 v1 · 2000-05-14 · 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{YZSUGT22TO7D4XBGEG4G44MSTD}

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

3 papers in Pith

One-loop amplitudes for $t\bar{t}j$ and $t\bar{t}\gamma$ productions at the LHC through $\mathcal{O}(\epsilon^2)$

Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC

Three loop QCD corrections to electroweak radiative parameters

Receipt and verification

First computed	2026-07-04T16:20:08.788379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c665434f5a9bbe3e5c2621b86e719298e3ee943dab757b5c979584241fa52567

Aliases

arxiv: hep-ph/0005131 · arxiv_version: hep-ph/0005131v1 · doi: 10.48550/arxiv.hep-ph/0005131 · pith_short_12: YZSUGT22TO7D · pith_short_16: YZSUGT22TO7D4XBG · pith_short_8: YZSUGT22

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/YZSUGT22TO7D4XBGEG4G44MSTD \
  | 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: c665434f5a9bbe3e5c2621b86e719298e3ee943dab757b5c979584241fa52567

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf9664854f7b374d28196544fc98067f84dafb9d3d67ca2128fc7dd8091758a0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-05-14T01:13:46Z",
    "title_canon_sha256": "ef203834338be63df872a8ead8ce12133dc699575850a9ed8a904903f0d0709f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0005131",
    "kind": "arxiv",
    "version": 1
  }
}