Pith Number

pith:G2J7BLTS

pith:1999:G2J7BLTSO4Z3YKKERWYB3UVBEW

not attested not anchored not stored refs pending

The QCD Pomeron with Optimal Renormalization

Grigorii B. Pivovarov, Lev N. Lipatov, Stanley J. Brodsky, Victor S. Fadin, Victor T. Kim

arxiv:hep-ph/9901229 v3 · 1999-01-06 · 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{G2J7BLTSO4Z3YKKERWYB3UVBEW}

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	2026-07-04T15:49:19.236820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3693f0ae727733bc29448db01dd2a125a40b73c7e6bd10429b9a264763c82553

Aliases

arxiv: hep-ph/9901229 · arxiv_version: hep-ph/9901229v3 · doi: 10.48550/arxiv.hep-ph/9901229 · pith_short_12: G2J7BLTSO4Z3 · pith_short_16: G2J7BLTSO4Z3YKKE · pith_short_8: G2J7BLTS

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/G2J7BLTSO4Z3YKKERWYB3UVBEW \
  | 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: 3693f0ae727733bc29448db01dd2a125a40b73c7e6bd10429b9a264763c82553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b94ebbeb9f54832d82c2b4b633d6ef1fee9f532fc4adf17d6b8ab9b4212b2aa9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-01-06T00:27:37Z",
    "title_canon_sha256": "17b9efd31d10779a0ed47fbd2c1b28a1c459a074a3574efe138df20d25b3cd6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9901229",
    "kind": "arxiv",
    "version": 3
  }
}