Pith Number

pith:XW7GAT53

pith:2001:XW7GAT536KM7ZN4LRY6OIXBGOP

not attested not anchored not stored refs pending

Non-singlet structure functions beyond the next-to-next-to leading order

A. Vogt (Leiden University), W.L. van Neerven

arxiv:hep-ph/0103123 v1 · 2001-03-12 · 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{XW7GAT536KM7ZN4LRY6OIXBGOP}

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

Soft and virtual corrections to semi-inclusive DIS up to four loops in QCD

Receipt and verification

First computed	2026-07-04T16:27:16.472243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdbe604fbbf299fcb78b8e3ce45c2673dabe542a547c973b3d5aaeeca1ff9d93

Aliases

arxiv: hep-ph/0103123 · arxiv_version: hep-ph/0103123v1 · doi: 10.48550/arxiv.hep-ph/0103123 · pith_short_12: XW7GAT536KM7 · pith_short_16: XW7GAT536KM7ZN4L · pith_short_8: XW7GAT53

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/XW7GAT536KM7ZN4LRY6OIXBGOP \
  | 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: bdbe604fbbf299fcb78b8e3ce45c2673dabe542a547c973b3d5aaeeca1ff9d93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1eb437f168e88c89e15d2d2d0f9d751e21ee562fb4520de75151f3f6803604e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-03-12T17:43:28Z",
    "title_canon_sha256": "f136ebf329da6bd962fe0a2f467c7efe03293f328969e5a39171ac8743ce5ab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0103123",
    "kind": "arxiv",
    "version": 1
  }
}