Pith Number

pith:PCELJON3

pith:2002:PCELJON3H4GVBVJ3IY4UQA3MSK

not attested not anchored not stored refs pending

A closed analytical formula for two-loop massive tadpoles with arbitrary tensor numerators

K.G. Chetyrkin (Institute for Nuclear Research of the Academy of Sciences of Russian Federation)

arxiv:hep-ph/0212040 v1 · 2002-12-03 · 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{PCELJON3H4GVBVJ3IY4UQA3MSK}

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

Three-loop form factors for Higgs boson pair production in the large top mass limit

Receipt and verification

First computed	2026-07-04T14:28:31.131607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7888b4b9bb3f0d50d53b463948036c92a1c65aee4d4af830c96641dd7d348bd6

Aliases

arxiv: hep-ph/0212040 · arxiv_version: hep-ph/0212040v1 · doi: 10.48550/arxiv.hep-ph/0212040 · pith_short_12: PCELJON3H4GV · pith_short_16: PCELJON3H4GVBVJ3 · pith_short_8: PCELJON3

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/PCELJON3H4GVBVJ3IY4UQA3MSK \
  | 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: 7888b4b9bb3f0d50d53b463948036c92a1c65aee4d4af830c96641dd7d348bd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6502b84f170d939748d5874ef8fcd2f42707cd5a6ba04fd54bbe50250b8b4873",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-12-03T10:01:56Z",
    "title_canon_sha256": "fd433f42412d6c9304ee6ae57bc1212b685516c96c6776ed8c551fb69d6a1de3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0212040",
    "kind": "arxiv",
    "version": 1
  }
}