Pith Number

pith:N2HW7MHM

pith:1999:N2HW7MHM5R6GSGFLB53BYPKEFF

not attested not anchored not stored refs pending

The relation between the $\bar{\rm MS}$ and the on-shell quark mass at order $\alpha_s^3$

K.G. Chetyrkin, M. Steinhauser

arxiv:hep-ph/9911434 v3 · 1999-11-22 · 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{N2HW7MHM5R6GSGFLB53BYPKEFF}

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

Factorial growth in perturbation theory, power corrections: precise extraction of quark masses and $\alpha_\text{s}$

Receipt and verification

First computed	2026-07-04T15:20:55.039196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e8f6fb0ecec7c6918ab0f761c3d44296dfb2d38c361c1599755f72db1ef7a2c

Aliases

arxiv: hep-ph/9911434 · arxiv_version: hep-ph/9911434v3 · doi: 10.48550/arxiv.hep-ph/9911434 · pith_short_12: N2HW7MHM5R6G · pith_short_16: N2HW7MHM5R6GSGFL · pith_short_8: N2HW7MHM

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/N2HW7MHM5R6GSGFLB53BYPKEFF \
  | 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: 6e8f6fb0ecec7c6918ab0f761c3d44296dfb2d38c361c1599755f72db1ef7a2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22027f1f38f4b5bc376d7b58394b4972d6daef9b5a29fae5f2160abe645479fc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-11-22T12:42:54Z",
    "title_canon_sha256": "f7ab1721719b5b5a466339781116b983ef1b5b4b16d45196ecb2725e94cead7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9911434",
    "kind": "arxiv",
    "version": 3
  }
}