Pith Number

pith:4KIF2RKJ

pith:1998:4KIF2RKJODPDIOUGGLSMYOELQB

not attested not anchored not stored refs pending

Virtual Next-to-Leading Corrections to the Lipatov Vertex

Carl R. Schmidt, Vittorio Del Duca

arxiv:hep-ph/9810215 v2 · 1998-10-01 · 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{4KIF2RKJODPDIOUGGLSMYOELQB}

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	2026-05-18T01:08:04.156913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2905d454970de343a8632e4cc388b80503e153e6444c91e8138839a92ea304e

Aliases

arxiv: hep-ph/9810215 · arxiv_version: hep-ph/9810215v2 · doi: 10.48550/arxiv.hep-ph/9810215 · pith_short_12: 4KIF2RKJODPD · pith_short_16: 4KIF2RKJODPDIOUG · pith_short_8: 4KIF2RKJ

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/4KIF2RKJODPDIOUGGLSMYOELQB \
  | 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: e2905d454970de343a8632e4cc388b80503e153e6444c91e8138839a92ea304e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e19d4d825c45484be0fc31b787814cf35f651b53043627b6f4e63395b45690e0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-10-01T20:34:46Z",
    "title_canon_sha256": "bf8c125924ce3e07f3decef53b44e45e8a69e5aca55f5bcdee68b1dce6dcc4c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9810215",
    "kind": "arxiv",
    "version": 2
  }
}