Pith Number

pith:MTVQOTIV

pith:2002:MTVQOTIVJRBZX4OA3GS6OHPKFG

not attested not anchored not stored refs pending

DGLAP evolution in the saturation model

H. Kowalski, J. Bartels, K. Golec-Biernat

arxiv:hep-ph/0207031 v1 · 2002-07-02 · 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{MTVQOTIVJRBZX4OA3GS6OHPKFG}

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	2026-05-18T02:36:37.649703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64eb074d154c439bf1c0d9a5e71dea299869d09fe4888944a25b380f54cc56af

Aliases

arxiv: hep-ph/0207031 · arxiv_version: hep-ph/0207031v1 · doi: 10.48550/arxiv.hep-ph/0207031 · pith_short_12: MTVQOTIVJRBZ · pith_short_16: MTVQOTIVJRBZX4OA · pith_short_8: MTVQOTIV

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/MTVQOTIVJRBZX4OA3GS6OHPKFG \
  | 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: 64eb074d154c439bf1c0d9a5e71dea299869d09fe4888944a25b380f54cc56af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9771a1c75f326142a01cf2a3bb3a606f4bfd801800066be0a0125a8058403e09",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-07-02T10:13:46Z",
    "title_canon_sha256": "c8395ff0219193342115a59d44e90c04e0cb76594d76bbdb4513a57f5f869760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0207031",
    "kind": "arxiv",
    "version": 1
  }
}