Pith Number

pith:I3USRCUU

pith:2005:I3USRCUUHUJ2KSTQI3FGK27RCP

not attested not anchored not stored refs pending

NNLO Logarithmic Expansions and Exact Solutions of the DGLAP Equations from x-Space: New Algorithms for Precision Studies at the LHC

Alessandro Cafarella, Claudio Coriano', Marco Guzzi

arxiv:hep-ph/0512358 v5 · 2005-12-30 · 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{I3USRCUUHUJ2KSTQI3FGK27RCP}

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	2026-07-04T17:24:05.945435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46e9288a943d13a54a7046ca656bf113f9f3c5009dd9df055a31301e608014c0

Aliases

arxiv: hep-ph/0512358 · arxiv_version: hep-ph/0512358v5 · doi: 10.48550/arxiv.hep-ph/0512358 · pith_short_12: I3USRCUUHUJ2 · pith_short_16: I3USRCUUHUJ2KSTQ · pith_short_8: I3USRCUU

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/I3USRCUUHUJ2KSTQI3FGK27RCP \
  | 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: 46e9288a943d13a54a7046ca656bf113f9f3c5009dd9df055a31301e608014c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab8ad69e57b370f5491a71a8e28508d66fc809aebffaaa6c7d35ce9f31067ac0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-12-30T18:11:25Z",
    "title_canon_sha256": "56f2cee02c5e7478af4505de0254fe7a944d46ccff9d73ef33d8c0761d70879b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0512358",
    "kind": "arxiv",
    "version": 5
  }
}