Pith Number

pith:4XMRR33K

pith:2001:4XMRR33KVHRW2JEFGWWCSSB6GV

not attested not anchored not stored refs pending

High-precision e-expansions of three-loop master integrals contributing to the electron g-2 in QED

S. Laporta

arxiv:hep-ph/0111123 v1 · 2001-11-10 · 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{4XMRR33KVHRW2JEFGWWCSSB6GV}

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	2026-05-18T02:36:38.970912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d918ef6aa9e36d248535ac29483e354180a6acfa07294775bd2681da4ce3cf

Aliases

arxiv: hep-ph/0111123 · arxiv_version: hep-ph/0111123v1 · doi: 10.48550/arxiv.hep-ph/0111123 · pith_short_12: 4XMRR33KVHRW · pith_short_16: 4XMRR33KVHRW2JEF · pith_short_8: 4XMRR33K

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/4XMRR33KVHRW2JEFGWWCSSB6GV \
  | 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: e5d918ef6aa9e36d248535ac29483e354180a6acfa07294775bd2681da4ce3cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d5a02d17aa9bab44cb37e2e078e9079aa2a3c2c08277daca062e9505745b59",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-11-10T13:44:37Z",
    "title_canon_sha256": "6b7d5e8224a2f0ceb87a6f8f50d1a859a994adca61d89350d901f98c4b8e312f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0111123",
    "kind": "arxiv",
    "version": 1
  }
}