Pith Number

pith:QETONGJX

pith:2012:QETONGJXBNBGKM7D6D6Q7U353T

not attested not anchored not stored refs pending

Gauge Coupling Beta Functions in the Standard Model to Three Loops

Jens Salomon, Luminita N. Mihaila, Matthias Steinhauser

arxiv:1201.5868 v2 · 2012-01-27 · 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{QETONGJXBNBGKM7D6D6Q7U353T}

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	2026-05-18T01:58:38.906774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8126e699370b426533e3f0fd0fd37ddcd8d932b52e14b3cc540421986f4a0e78

Aliases

arxiv: 1201.5868 · arxiv_version: 1201.5868v2 · doi: 10.48550/arxiv.1201.5868 · pith_short_12: QETONGJXBNBG · pith_short_16: QETONGJXBNBGKM7D · pith_short_8: QETONGJX

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/QETONGJXBNBGKM7D6D6Q7U353T \
  | 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: 8126e699370b426533e3f0fd0fd37ddcd8d932b52e14b3cc540421986f4a0e78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164696ee8b5b6537811c5e11cf037e5871843f76f8eae530436d7e6cdf60bb22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-01-27T19:23:42Z",
    "title_canon_sha256": "825c5a29bb655ad818cf8bbcb1e2c179fb9508f3a1fce0bd27dbf0bd7f43d86a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5868",
    "kind": "arxiv",
    "version": 2
  }
}