Pith Number

pith:SNYQEKQ6

pith:2015:SNYQEKQ6KCPNAYS3FBH7I6VBXQ

not attested not anchored not stored refs pending

Quark mass relations to four-loop order

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

arxiv:1502.01030 v2 · 2015-02-03 · 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{SNYQEKQ6KCPNAYS3FBH7I6VBXQ}

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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	2026-05-18T02:17:24.061358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9371022a1e509ed0625b284ff47aa1bc0d183282d3549b12939779c36f6c031d

Aliases

arxiv: 1502.01030 · arxiv_version: 1502.01030v2 · doi: 10.48550/arxiv.1502.01030 · pith_short_12: SNYQEKQ6KCPN · pith_short_16: SNYQEKQ6KCPNAYS3 · pith_short_8: SNYQEKQ6

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/SNYQEKQ6KCPNAYS3FBH7I6VBXQ \
  | 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: 9371022a1e509ed0625b284ff47aa1bc0d183282d3549b12939779c36f6c031d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "258fc5a6d601f3ec6440f062c3faaf40fd01932d77ca03f3f0001359d6266536",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-02-03T21:03:19Z",
    "title_canon_sha256": "8ea38fd38afd4dd47a8baf449d329089c50d0519dd1c6664086be35ff14c6443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01030",
    "kind": "arxiv",
    "version": 2
  }
}