Pith Number

pith:25NLTUBM

pith:1998:25NLTUBMJBZDCHFQKDPJQ3Q6J4

not attested not anchored not stored refs pending

The Unpolarized Gluon Anomalous Dimension at Small x

A. Vogt, J. Bl\"umlein, V. Ravindran, W.L. van Neerven

arxiv:hep-ph/9806368 v1 · 1998-06-15 · hep-ph · hep-ex

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25NLTUBMJBZDCHFQKDPJQ3Q6J4}

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	2026-07-04T14:30:33.761070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d75ab9d02c4872311cb050de986e1e4f2b1e19bc3c7f59ac63be6161bd4c9881

Aliases

arxiv: hep-ph/9806368 · arxiv_version: hep-ph/9806368v1 · doi: 10.48550/arxiv.hep-ph/9806368 · pith_short_12: 25NLTUBMJBZD · pith_short_16: 25NLTUBMJBZDCHFQ · pith_short_8: 25NLTUBM

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/25NLTUBMJBZDCHFQKDPJQ3Q6J4 \
  | 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: d75ab9d02c4872311cb050de986e1e4f2b1e19bc3c7f59ac63be6161bd4c9881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65c83b35ac092213d8b0c2223eabc3ce5fd5fae52c39e8ccfabf05edcf6556af",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-06-15T13:22:34Z",
    "title_canon_sha256": "83cfe86a36da97cdb205e68c6baf05bf555fff7652ed6be0ae5580594458d982"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9806368",
    "kind": "arxiv",
    "version": 1
  }
}