Pith Number

pith:DLIJIYYY

pith:2022:DLIJIYYYJ45724P4B4SS3TB77C

not attested not anchored not stored refs pending

Singlet and non-singlet three-loop massive form factors

Fabian Lange, Kay Sch\"onwald, Matteo Fael, Matthias Steinhauser

arxiv:2207.00027 v1 · 2022-06-30 · 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{DLIJIYYYJ45724P4B4SS3TB77C}

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	2026-07-05T04:57:13.047841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ad09463184f3bfd71fc0f252dcc3ff8933d7972a4b95b604966ddf92f33f8b2

Aliases

arxiv: 2207.00027 · arxiv_version: 2207.00027v1 · doi: 10.48550/arxiv.2207.00027 · pith_short_12: DLIJIYYYJ457 · pith_short_16: DLIJIYYYJ45724P4 · pith_short_8: DLIJIYYY

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/DLIJIYYYJ45724P4B4SS3TB77C \
  | 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: 1ad09463184f3bfd71fc0f252dcc3ff8933d7972a4b95b604966ddf92f33f8b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c844c9473724ad508e5b1fed4372304d9aa6cbd3a3e7b1b23e3245330bcad4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-06-30T18:00:04Z",
    "title_canon_sha256": "740ba39cd1253979d2f6af1464bd0e988e22ba5f3b0f23eb91a7642970849daf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.00027",
    "kind": "arxiv",
    "version": 1
  }
}