Pith Number

pith:K64WWO5I

pith:1999:K64WWO5I2PUZQY47MFLEY3PAGQ

not attested not anchored not stored refs pending

Unitarity and the QCD-improved dipole picture

L. Frankfurt, M. McDermott, M. Strikman, V. Guzey

arxiv:hep-ph/9912547 v2 · 1999-12-30 · 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{K64WWO5I2PUZQY47MFLEY3PAGQ}

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	2026-05-18T04:13:17.132743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57b96b3ba8d3e998639f61564c6de0342b9f88f601f7d9a82a438b0995a54743

Aliases

arxiv: hep-ph/9912547 · arxiv_version: hep-ph/9912547v2 · doi: 10.48550/arxiv.hep-ph/9912547 · pith_short_12: K64WWO5I2PUZ · pith_short_16: K64WWO5I2PUZQY47 · pith_short_8: K64WWO5I

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/K64WWO5I2PUZQY47MFLEY3PAGQ \
  | 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: 57b96b3ba8d3e998639f61564c6de0342b9f88f601f7d9a82a438b0995a54743

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85626bd2de24d01ed1d1de78851c3410f01356c65e48c726ffd1282b9e4a12bf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-12-30T18:13:14Z",
    "title_canon_sha256": "563ff1a1a06af56ccc1f8b833f5b49c0cdac9ce16090f6ad91d2c6f0e2ff3284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9912547",
    "kind": "arxiv",
    "version": 2
  }
}