Pith Number

pith:WBW4E6JE

pith:1999:WBW4E6JEEK377G6E7O2ITXTS7S

not attested not anchored not stored refs pending

Quark mass anomalous dimension at O(1/N_f^2) in QCD

A.N. Manashov, M. Ciuchini, S.E. Derkachov J.A. Gracey

arxiv:hep-ph/9903410 v1 · 1999-03-19 · 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{WBW4E6JEEK377G6E7O2ITXTS7S}

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

Transcendental structure of multiloop massless correlators and anomalous dimensions

Receipt and verification

First computed	2026-07-04T16:14:07.120846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b06dc2792422b7ff9bc4fbb489de72fca1f0f8f0a6210741241a9e7ec2dffaed

Aliases

arxiv: hep-ph/9903410 · arxiv_version: hep-ph/9903410v1 · doi: 10.48550/arxiv.hep-ph/9903410 · pith_short_12: WBW4E6JEEK37 · pith_short_16: WBW4E6JEEK377G6E · pith_short_8: WBW4E6JE

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/WBW4E6JEEK377G6E7O2ITXTS7S \
  | 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: b06dc2792422b7ff9bc4fbb489de72fca1f0f8f0a6210741241a9e7ec2dffaed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdb9538051f37bf5a525e30d38ec5b0bf02d1eb4db6cba00f8081e9654d28733",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-03-19T16:30:45Z",
    "title_canon_sha256": "3191534ed5d00e1c02afbde0f6af77e61b075c1a886c55c12bf5f1e3b80f0998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9903410",
    "kind": "arxiv",
    "version": 1
  }
}