Pith Number

pith:CI35Q7YJ

pith:2010:CI35Q7YJOBU7V4UUFFQYBQUP6K

not attested not anchored not stored refs pending

Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight

R.N. Lee, V.A. Smirnov

arxiv:1010.1334 v1 · 2010-10-07 · 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{CI35Q7YJOBU7V4UUFFQYBQUP6K}

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	2026-05-18T04:27:35.657623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1237d87f097069faf294296180c28ff2bff9426c6fe5b9d2079d2e09c3792f1c

Aliases

arxiv: 1010.1334 · arxiv_version: 1010.1334v1 · doi: 10.48550/arxiv.1010.1334 · pith_short_12: CI35Q7YJOBU7 · pith_short_16: CI35Q7YJOBU7V4UU · pith_short_8: CI35Q7YJ

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/CI35Q7YJOBU7V4UUFFQYBQUP6K \
  | 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: 1237d87f097069faf294296180c28ff2bff9426c6fe5b9d2079d2e09c3792f1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcee209293816167a759444eb2f87cb25dfc623626a6a3280a73869aaff69b31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-10-07T04:35:36Z",
    "title_canon_sha256": "aa0b0a71f78c5babb12a1623e3e43376c1311dc816b7bb88dc2b43715ed23133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1334",
    "kind": "arxiv",
    "version": 1
  }
}