Pith Number

pith:UZMUPLJT

pith:2016:UZMUPLJTT7YQT4HVUJ22552FBO

not attested not anchored not stored refs pending

$\overline{\rm MS}$-on-shell quark mass relation up to four loops in QCD and a general SU$(N)$ gauge group

Alexander V. Smirnov, David Wellmann, Matthias Steinhauser, Peter Marquard, Vladimir A. Smirnov

arxiv:1606.06754 v2 · 2016-06-21 · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZMUPLJTT7YQT4HVUJ22552FBO}

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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

Renormalon-based resummation for B(D) Mesons

Receipt and verification

First computed	2026-05-18T00:57:27.279087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a65947ad339ff109f0f5a275aef7450bbe83c4a2fbd19f9e982e3132ad54a89d

Aliases

arxiv: 1606.06754 · arxiv_version: 1606.06754v2 · doi: 10.48550/arxiv.1606.06754 · pith_short_12: UZMUPLJTT7YQ · pith_short_16: UZMUPLJTT7YQT4HV · pith_short_8: UZMUPLJT

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/UZMUPLJTT7YQT4HVUJ22552FBO \
  | 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: a65947ad339ff109f0f5a275aef7450bbe83c4a2fbd19f9e982e3132ad54a89d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "440c06b7e17db99ca81946ff62b96d62fa4bcb985be0f349244ede65c7a79f61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-06-21T20:17:29Z",
    "title_canon_sha256": "5b69b4d065d13025314333abc35d2be1e6d6dbb51b0168cb0eac2eb7813af1a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06754",
    "kind": "arxiv",
    "version": 2
  }
}