Pith Number

pith:M5XF43YK

pith:2015:M5XF43YKFINDUY2NSRVFWGDWSR

not attested not anchored not stored refs pending

QED corrections to the Altarelli-Parisi splitting functions

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

arxiv:1512.00612 v3 · 2015-12-02 · 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{M5XF43YKFINDUY2NSRVFWGDWSR}

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	2026-05-18T00:30:49.313902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

676e5e6f0a2a1a3a634d946a5b1876944269b92396e0cad922acc364f01a616a

Aliases

arxiv: 1512.00612 · arxiv_version: 1512.00612v3 · doi: 10.48550/arxiv.1512.00612 · pith_short_12: M5XF43YKFIND · pith_short_16: M5XF43YKFINDUY2N · pith_short_8: M5XF43YK

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/M5XF43YKFINDUY2NSRVFWGDWSR \
  | 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: 676e5e6f0a2a1a3a634d946a5b1876944269b92396e0cad922acc364f01a616a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a98015844d8206886b79fec2a62d0e2076b77c693d06bb269437a2e8f371d817",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-12-02T08:45:00Z",
    "title_canon_sha256": "52f73b41e692fb717b11d3814f5e0e663283bbd60b2b103ebcaf7e948a87b2d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00612",
    "kind": "arxiv",
    "version": 3
  }
}