Pith Number

pith:GK2WDMS7

pith:2016:GK2WDMS7H7QZ32427UQQHDLDND

not attested not anchored not stored refs pending

Two-loop QED corrections to the Altarelli-Parisi splitting functions

Daniel de Florian, German F. R. Sborlini, German Rodrigo

arxiv:1606.02887 v3 · 2016-06-09 · 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{GK2WDMS7H7QZ32427UQQHDLDND}

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	2026-05-18T00:30:48.989581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b561b25f3fe19deb9afd21038d6368dcff3ba0fd405a4a607b9681caa06ca7

Aliases

arxiv: 1606.02887 · arxiv_version: 1606.02887v3 · doi: 10.48550/arxiv.1606.02887 · pith_short_12: GK2WDMS7H7QZ · pith_short_16: GK2WDMS7H7QZ3242 · pith_short_8: GK2WDMS7

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/GK2WDMS7H7QZ32427UQQHDLDND \
  | 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: 32b561b25f3fe19deb9afd21038d6368dcff3ba0fd405a4a607b9681caa06ca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0abf54acc62693b7b1e159acbaadcbd87a6d13c0add12a5c370d880c6bddcf38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-06-09T09:51:54Z",
    "title_canon_sha256": "f2f775d759fceeb1a12c8e508dd34ea1d3b6f204976938579b18f3ab9d781242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02887",
    "kind": "arxiv",
    "version": 3
  }
}