Pith Number

pith:5K2CRE7R

pith:1997:5K2CRE7RBJNDS4TMHQBUJNAEEG

not attested not anchored not stored refs pending

Twist-2 Light-Ray Operators: Anomalous Dimensions and Evolution Equations

B. Geyer, D. Robaschik, J. Bl\"umlein

arxiv:hep-ph/9711405 v2 · 1997-11-20 · 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{5K2CRE7RBJNDS4TMHQBUJNAEEG}

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	2026-07-04T14:30:25.430223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eab42893f10a5a39726c3c0344b40421a70832d7403dd4157e3f5fcdfad8b49e

Aliases

arxiv: hep-ph/9711405 · arxiv_version: hep-ph/9711405v2 · doi: 10.48550/arxiv.hep-ph/9711405 · pith_short_12: 5K2CRE7RBJND · pith_short_16: 5K2CRE7RBJNDS4TM · pith_short_8: 5K2CRE7R

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/5K2CRE7RBJNDS4TMHQBUJNAEEG \
  | 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: eab42893f10a5a39726c3c0344b40421a70832d7403dd4157e3f5fcdfad8b49e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c08219d3869f2fefaf70f49e7ad43ee8ec04ac96047d1125f03d8b199093e764",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-11-20T15:59:28Z",
    "title_canon_sha256": "d9162916515c907dd5942cae224fa3e28e12a4da4db3606918683101678e3cf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9711405",
    "kind": "arxiv",
    "version": 2
  }
}