Pith Number

pith:TX3IQ6EM

pith:1999:TX3IQ6EMSOLJ45HK7ZW2J3WNUU

not attested not anchored not stored refs pending

Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops

A. Retey, K. G. Chetyrkin

arxiv:hep-ph/9910332 v2 · 1999-10-13 · hep-ph · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TX3IQ6EMSOLJ45HK7ZW2J3WNUU}

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

A note on momentum subtraction schemes for quark bilinears and semileptonic operators

Isospin-breaking effects in inclusive hadronic $\tau$ data for the muon $(g-2)$ from first principles

The QCD phase diagram for three-flavor M\"obius domain-wall fermions

FLAG Review 2024

Receipt and verification

First computed	2026-07-04T17:25:24.885785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df688788c93969e74eafe6da4eecda53e7d94367fc278d8349a6ba7bf8dd061

Aliases

arxiv: hep-ph/9910332 · arxiv_version: hep-ph/9910332v2 · doi: 10.48550/arxiv.hep-ph/9910332 · pith_short_12: TX3IQ6EMSOLJ · pith_short_16: TX3IQ6EMSOLJ45HK · pith_short_8: TX3IQ6EM

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/TX3IQ6EMSOLJ45HK7ZW2J3WNUU \
  | 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: 9df688788c93969e74eafe6da4eecda53e7d94367fc278d8349a6ba7bf8dd061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9d71762e543a98f59556fec15aae6caea4b76d42c454d27c0723bb45eded50b",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-10-13T19:42:27Z",
    "title_canon_sha256": "1ff47ccd9bdebd91c14bc84a2f4571b46c2ae8ad9669a6a9bbf420c29001e528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9910332",
    "kind": "arxiv",
    "version": 2
  }
}