Pith Number

pith:XBWDW5BS

pith:2011:XBWDW5BSFNE67LZV6ZD4NVBX4G

not attested not anchored not stored refs pending

The Epsilon Expansion of Feynman Diagrams via Hypergeometric Functions and Differential Reduction

B.A. Kniehl, B.F.L. Ward, M.Yu. Kalmykov, S.A. Yost, V.V. Bytev

arxiv:1110.0210 v3 · 2011-10-02 · math-ph · hep-ph · hep-th · 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{XBWDW5BSFNE67LZV6ZD4NVBX4G}

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

HyperPrecision: A Mathematica package for High-Precision Numerical Evaluation of Multivariate Hypergeometric Functions

Receipt and verification

First computed	2026-05-18T04:10:25.236353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b86c3b74322b49efaf35f647c6d437e188c85d3cbec54314bb6995ea247eea2c

Aliases

arxiv: 1110.0210 · arxiv_version: 1110.0210v3 · doi: 10.48550/arxiv.1110.0210 · pith_short_12: XBWDW5BSFNE6 · pith_short_16: XBWDW5BSFNE67LZV · pith_short_8: XBWDW5BS

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/XBWDW5BSFNE67LZV6ZD4NVBX4G \
  | 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: b86c3b74322b49efaf35f647c6d437e188c85d3cbec54314bb6995ea247eea2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7769c3ef2ccd751cc94a6c2227a46df0db961ed728e9e2d34f17db7a56b8cba5",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-02T18:20:41Z",
    "title_canon_sha256": "4c2811d0c2047e3cae768542028060f391941ebd0b6f84841e515800647e6ef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0210",
    "kind": "arxiv",
    "version": 3
  }
}