Pith Number

pith:BJTK4YQQ

pith:2000:BJTK4YQQDEWCXAQUZD5S4KISAJ

not attested not anchored not stored refs pending

Quartic mass corrections to R_had at order \alpha_s^3

J.H. Kuehn, K.G. Chetyrkin, R.V. Harlander

arxiv:hep-ph/0005139 v3 · 2000-05-15 · 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{BJTK4YQQDEWCXAQUZD5S4KISAJ}

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

Toponium: the smallest bound state and simplest hadron in quantum mechanics

Receipt and verification

First computed	2026-07-04T16:20:08.858374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a66ae6210192c2b8214c8fb2e29120278ccb2ad068a6e7a8ccf9583573c5d2f

Aliases

arxiv: hep-ph/0005139 · arxiv_version: hep-ph/0005139v3 · doi: 10.48550/arxiv.hep-ph/0005139 · pith_short_12: BJTK4YQQDEWC · pith_short_16: BJTK4YQQDEWCXAQU · pith_short_8: BJTK4YQQ

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/BJTK4YQQDEWCXAQUZD5S4KISAJ \
  | 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: 0a66ae6210192c2b8214c8fb2e29120278ccb2ad068a6e7a8ccf9583573c5d2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1778e07b3445f676a82dbfcbd6561dd42429bc0ce8e24053cc7b7c4ad500f543",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-05-15T13:41:15Z",
    "title_canon_sha256": "02d379f8e522c18c32abb7fb91729c0b5dc7e5fccd42c9dbff721d3fb3859e60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0005139",
    "kind": "arxiv",
    "version": 3
  }
}