Pith Number

pith:6VW2PJ77

pith:2003:6VW2PJ77ZAYMVEFK3RGPPXZHO3

not attested not anchored not stored refs pending

Sudakov Form Factors

John C. Collins

arxiv:hep-ph/0312336 v2 · 2003-12-23 · 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{6VW2PJ77ZAYMVEFK3RGPPXZHO3}

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.

Cited by

2 papers in Pith

Disentangling Dark Gauge Symmetries with Deep Learning on the Lund Jet Plane

Walking Sudakov: From Cusp to Octagon

Receipt and verification

First computed	2026-07-05T01:47:40.777259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f56da7a7ffc830ca90aadc4cf7df2776f852ba79ee2f76f39b3ebf7f49a3a3dc

Aliases

arxiv: hep-ph/0312336 · arxiv_version: hep-ph/0312336v2 · doi: 10.48550/arxiv.hep-ph/0312336 · pith_short_12: 6VW2PJ77ZAYM · pith_short_16: 6VW2PJ77ZAYMVEFK · pith_short_8: 6VW2PJ77

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/6VW2PJ77ZAYMVEFK3RGPPXZHO3 \
  | 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: f56da7a7ffc830ca90aadc4cf7df2776f852ba79ee2f76f39b3ebf7f49a3a3dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe2b349abbf4ec1a4ecf3356e1aabe7fbff344c3961c76f8287d56fd3099950",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-12-23T18:09:56Z",
    "title_canon_sha256": "973659a11862104ac708fd2c0e4b1a2b060788e4d31a3c82baa3e1a509c7739a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0312336",
    "kind": "arxiv",
    "version": 2
  }
}