Pith Number

pith:ACCVU52Y

pith:2004:ACCVU52YDWHDZETCSCXT2NWCFT

not attested not anchored not stored refs pending

The 16th Moment of the Non--Singlet Structure Functions $F_2(x,Q^2)$ and $F_L(x,Q^2)$ to $O(\alpha_s^3)$

J.A.M. Vermaseren, J. Bl\"umlein

arxiv:hep-ph/0411111 v1 · 2004-11-08 · 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{ACCVU52YDWHDZETCSCXT2NWCFT}

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	2026-07-04T17:24:38.587647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00855a77581d8e3c926290af3d36c22cd516afb58ea3518b21d97275a6c83a99

Aliases

arxiv: hep-ph/0411111 · arxiv_version: hep-ph/0411111v1 · doi: 10.48550/arxiv.hep-ph/0411111 · pith_short_12: ACCVU52YDWHD · pith_short_16: ACCVU52YDWHDZETC · pith_short_8: ACCVU52Y

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/ACCVU52YDWHDZETCSCXT2NWCFT \
  | 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: 00855a77581d8e3c926290af3d36c22cd516afb58ea3518b21d97275a6c83a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ff00039b582c69677161b2de32b7e6757ce0c8caaf02ed2017ba6eec802757",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-11-08T15:35:40Z",
    "title_canon_sha256": "e53452f4f49484460920f9e2195376e815819b29d23e5777110e305e43bebd9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0411111",
    "kind": "arxiv",
    "version": 1
  }
}