Pith Number

pith:4D5UB2Y3

pith:1997:4D5UB2Y3OBBIVT3PFFDEHG572V

not attested not anchored not stored refs pending

Asymptotic expansions of two-loop Feynman diagrams in the Sudakov limit

V.A. Smirnov

arxiv:hep-ph/9703357 v1 · 1997-03-18 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4D5UB2Y3OBBIVT3PFFDEHG572V}

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

1 paper in Pith

Walking Sudakov: From Cusp to Octagon

Receipt and verification

First computed	2026-07-04T16:04:54.301783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0fb40eb1b70428acf6f2946439bbfd5770c80081107539185446398b9ac17db

Aliases

arxiv: hep-ph/9703357 · arxiv_version: hep-ph/9703357v1 · doi: 10.48550/arxiv.hep-ph/9703357 · pith_short_12: 4D5UB2Y3OBBI · pith_short_16: 4D5UB2Y3OBBIVT3P · pith_short_8: 4D5UB2Y3

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/4D5UB2Y3OBBIVT3PFFDEHG572V \
  | 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: e0fb40eb1b70428acf6f2946439bbfd5770c80081107539185446398b9ac17db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb50fc7b876e4eaf2421ea74550c538d5961d8344a2aa6216fe72f62b018619c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-03-18T15:11:58Z",
    "title_canon_sha256": "c83eed4ee980b481309b59ddc0387513ca3212202c3f27363bdab52e4d22ed24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9703357",
    "kind": "arxiv",
    "version": 1
  }
}