Pith Number

pith:BPLY7HIJ

pith:2005:BPLY7HIJXZBPE3YE2XNMYOYHZZ

not attested not anchored not stored refs pending

About higher order epsilon-expansion of some massive two- and three-loop master-integrals

Dubna), M.Yu.Kalmykov (Baylor U. & JINR

arxiv:hep-ph/0503070 v3 · 2005-03-07 · hep-ph · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPLY7HIJXZBPE3YE2XNMYOYHZZ}

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 corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme

Receipt and verification

First computed	2026-07-04T17:24:38.941432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bd78f9d09be42f26f04d5dacc3b07ce746da7ca3696d1edc2592cdbf302ad09

Aliases

arxiv: hep-ph/0503070 · arxiv_version: hep-ph/0503070v3 · doi: 10.48550/arxiv.hep-ph/0503070 · pith_short_12: BPLY7HIJXZBP · pith_short_16: BPLY7HIJXZBPE3YE · pith_short_8: BPLY7HIJ

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/BPLY7HIJXZBPE3YE2XNMYOYHZZ \
  | 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: 0bd78f9d09be42f26f04d5dacc3b07ce746da7ca3696d1edc2592cdbf302ad09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c36af126f4276ebd42459c4b60e2340586a8cb784a4bd33b34cfa5756f0f7f",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-03-07T23:07:49Z",
    "title_canon_sha256": "a60cdfce5bd8baab31e8484ef45a63558332d329f24042e36ab6499036dbd9b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0503070",
    "kind": "arxiv",
    "version": 3
  }
}