Pith Number

pith:VNBWGHR6

pith:2001:VNBWGHR6VF2J56YI4NRGCRIIN5

not attested not anchored not stored refs pending

Master Formulae for Delta F=2 NLO-QCD Factors in the Standard Model and Beyond

Andrzej J. Buras, Joerg Urban, Sebastian Jager

arxiv:hep-ph/0102316 v1 · 2001-02-26 · 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{VNBWGHR6VF2J56YI4NRGCRIIN5}

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.

Receipt and verification

First computed	2026-07-04T16:27:15.333131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab43631e3ea9749efb08e3626145086f5ab06f0818ea0d6363a62768eef36654

Aliases

arxiv: hep-ph/0102316 · arxiv_version: hep-ph/0102316v1 · doi: 10.48550/arxiv.hep-ph/0102316 · pith_short_12: VNBWGHR6VF2J · pith_short_16: VNBWGHR6VF2J56YI · pith_short_8: VNBWGHR6

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/VNBWGHR6VF2J56YI4NRGCRIIN5 \
  | 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: ab43631e3ea9749efb08e3626145086f5ab06f0818ea0d6363a62768eef36654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49dcfffb81d98fa8026490dce25e6f745cca49492760686610e27782ef8fe20e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-02-26T18:41:12Z",
    "title_canon_sha256": "1dced082f9c447aa5891c2da3957d588a9eea133f895458e9d0ef0fff0507285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0102316",
    "kind": "arxiv",
    "version": 1
  }
}