Pith Number

pith:6NPKV4WX

pith:1998:6NPKV4WXU7BIVABQLKI64ECZM4

not attested not anchored not stored refs pending

Less Singular Terms and Small x Evolution in a Soluble Model

J. Bl\"umlein, W.L. van Neerven

arxiv:hep-ph/9811519 v1 · 1998-11-30 · 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{6NPKV4WXU7BIVABQLKI64ECZM4}

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	2026-07-04T16:09:36.926830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f35eaaf2d7a7c28a80305a91ee1059671b3a57eb9d6e3cdcf8d433337bed3b8f

Aliases

arxiv: hep-ph/9811519 · arxiv_version: hep-ph/9811519v1 · doi: 10.48550/arxiv.hep-ph/9811519 · pith_short_12: 6NPKV4WXU7BI · pith_short_16: 6NPKV4WXU7BIVABQ · pith_short_8: 6NPKV4WX

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/6NPKV4WXU7BIVABQLKI64ECZM4 \
  | 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: f35eaaf2d7a7c28a80305a91ee1059671b3a57eb9d6e3cdcf8d433337bed3b8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7860539f6488afa29aee1c27c7a98103b5f8132527ac64c69ed43234a0c6148",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-11-30T19:04:12Z",
    "title_canon_sha256": "c2430c7977001bde7c5ca24cf60df73f8792d9c48c6874240025a95ed0383476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9811519",
    "kind": "arxiv",
    "version": 1
  }
}