Pith Number

pith:LTCSM3JY

pith:1999:LTCSM3JYTUZRALFKNVERI3ZRDI

not attested not anchored not stored refs pending

The three loop relation between the \bar {MS} and the pole quark masses

Kirill Melnikov, Timo van Ritbergen

arxiv:hep-ph/9912391 v2 · 1999-12-17 · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTCSM3JYTUZRALFKNVERI3ZRDI}

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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	2026-07-04T16:14:36.113812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc5266d389d33102caa6d49146f311a2ed93a098e47446e181bd90340d5fd76

Aliases

arxiv: hep-ph/9912391 · arxiv_version: hep-ph/9912391v2 · doi: 10.48550/arxiv.hep-ph/9912391 · pith_short_12: LTCSM3JYTUZR · pith_short_16: LTCSM3JYTUZRALFK · pith_short_8: LTCSM3JY

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/LTCSM3JYTUZRALFKNVERI3ZRDI \
  | 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: 5cc5266d389d33102caa6d49146f311a2ed93a098e47446e181bd90340d5fd76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d90f55656e80f2db86b680d211da3991a6abef3adb231893d33b599d46603dd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-12-17T03:35:46Z",
    "title_canon_sha256": "dcf61c8c2aed2572febdcd3d3b6537c36a28007cdee178559013b7fce8c61952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9912391",
    "kind": "arxiv",
    "version": 2
  }
}