Pith Number

pith:5UPBWZKC

pith:2016:5UPBWZKCI6OVQEQ46PSO7PQXLQ

not attested not anchored not stored refs pending

Four-loop relation between the $\bar{\rm MS}$ and on-shell quark mass

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

arxiv:1601.03748 v1 · 2016-01-14 · 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{5UPBWZKCI6OVQEQ46PSO7PQXLQ}

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.

Receipt and verification

First computed	2026-05-18T01:22:50.110429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed1e1b6542479d58121cf3e4efbe175c2a6d67d2fa75fdf727b7158d90dcb505

Aliases

arxiv: 1601.03748 · arxiv_version: 1601.03748v1 · doi: 10.48550/arxiv.1601.03748 · pith_short_12: 5UPBWZKCI6OV · pith_short_16: 5UPBWZKCI6OVQEQ4 · pith_short_8: 5UPBWZKC

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/5UPBWZKCI6OVQEQ46PSO7PQXLQ \
  | 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: ed1e1b6542479d58121cf3e4efbe175c2a6d67d2fa75fdf727b7158d90dcb505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fedc1fca21f68a52dc4c5fe646dc011bd8c0fa1c651c11a0f986b44e8493603b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-01-14T21:00:15Z",
    "title_canon_sha256": "d90bb4af52453c9c33845e187be2c7bf400cda35707432bc5bf564d2741eb97c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03748",
    "kind": "arxiv",
    "version": 1
  }
}