Pith Number

pith:U7LJUBTN

pith:2000:U7LJUBTN255MEDWH2HAXKHEAYV

not attested not anchored not stored refs pending

Three loop MSbar tensor current anomalous dimension in QCD

J.A. Gracey

arxiv:hep-ph/0007171 v1 · 2000-07-17 · 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{U7LJUBTN255MEDWH2HAXKHEAYV}

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

The photon-energy spectrum in $B\to X_s\gamma$ to N$^3$LO: light-fermion and large-$N_{\rm c}$ corrections

Receipt and verification

First computed	2026-07-04T16:20:14.868616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7d69a066dd77ac20ec7d1c1751c80c554788dba3f2f958eca4a7eadb8086b3a

Aliases

arxiv: hep-ph/0007171 · arxiv_version: hep-ph/0007171v1 · doi: 10.48550/arxiv.hep-ph/0007171 · pith_short_12: U7LJUBTN255M · pith_short_16: U7LJUBTN255MEDWH · pith_short_8: U7LJUBTN

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/U7LJUBTN255MEDWH2HAXKHEAYV \
  | 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: a7d69a066dd77ac20ec7d1c1751c80c554788dba3f2f958eca4a7eadb8086b3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9860cdd7ad47b0012a5977546f9953819be1534ea6d420e0d0b5cbf4729b796",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-07-17T12:50:44Z",
    "title_canon_sha256": "170e0731399d6f88cc63dc7d829d9052411ff3d1ac3ded8bb7ea288560b3755b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0007171",
    "kind": "arxiv",
    "version": 1
  }
}