Pith Number

pith:UMPQW5GF

pith:2018:UMPQW5GFFDLG6FWVPMSMZ6HINK

not attested not anchored not stored refs pending

Three-loop massive form factors: complete light-fermion corrections for the vector current

Alexander V. Smirnov, Matthias Steinhauser, Roman N. Lee, Vladimir A. Smirnov

arxiv:1801.08151 v1 · 2018-01-24 · 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{UMPQW5GFFDLG6FWVPMSMZ6HINK}

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

The Fate of Ultra-Collinear Modes in On-Shell Massive Sudakov Form Factors

Receipt and verification

First computed	2026-05-18T00:18:11.485783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a31f0b74c528d66f16d57b24ccf8e86aa6410c637535b41285f1cd35a73cff36

Aliases

arxiv: 1801.08151 · arxiv_version: 1801.08151v1 · doi: 10.48550/arxiv.1801.08151 · pith_short_12: UMPQW5GFFDLG · pith_short_16: UMPQW5GFFDLG6FWV · pith_short_8: UMPQW5GF

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/UMPQW5GFFDLG6FWVPMSMZ6HINK \
  | 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: a31f0b74c528d66f16d57b24ccf8e86aa6410c637535b41285f1cd35a73cff36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2f419eb6f163f82c7fde597ed653cc34a650bc7de8f5953d56b5e6658a40268",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-01-24T19:00:28Z",
    "title_canon_sha256": "977feefac0593626f746187d0d0125c9f25eb7bced5bb9ef2669eed11005c9d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08151",
    "kind": "arxiv",
    "version": 1
  }
}