Pith Number

pith:BBIMD5ZB

pith:2002:BBIMD5ZBZIGP2JBCMMVLPNJ7AK

not attested not anchored not stored refs pending

QCD soft gluon exponentiation: YFS MC Approach

2), (2) Department of Physics, (3) Henryk Niewodniczanski Institute of Nuclear Physics, B.F.L. Ward (1, Cracow, Germany, Knoxville, Max-Planck-Institut feur Physik, Muenchen, Poland), S. Jadach (3) ((1) Werner-Heisenberg-Institut, TN, University of Tennessee, USA

arxiv:hep-ph/0210357 v1 · 2002-10-25 · 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{BBIMD5ZBZIGP2JBCMMVLPNJ7AK}

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	2026-07-04T16:34:24.635727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0850c1f721ca0cfd2422632ab7b53f02a5040224dfd7869d1c26e2593ea5d472

Aliases

arxiv: hep-ph/0210357 · arxiv_version: hep-ph/0210357v1 · doi: 10.48550/arxiv.hep-ph/0210357 · pith_short_12: BBIMD5ZBZIGP · pith_short_16: BBIMD5ZBZIGP2JBC · pith_short_8: BBIMD5ZB

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/BBIMD5ZBZIGP2JBCMMVLPNJ7AK \
  | 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: 0850c1f721ca0cfd2422632ab7b53f02a5040224dfd7869d1c26e2593ea5d472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b1a2d3b2a87936e23c0762d150d44f3efbcc3091500f64cf3efa44c23ffed8c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-10-25T17:25:19Z",
    "title_canon_sha256": "3c4aa40ac40f6648358f5ccbe99551cbddf12aacc224f6c0791b071d4812d044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0210357",
    "kind": "arxiv",
    "version": 1
  }
}