Pith Number

pith:W6XWR4ZZ

pith:2023:W6XWR4ZZ67GMIZLRGT5YKKX7BD

not attested not anchored not stored refs pending

Expansion of hypergeometric functions in terms of polylogarithms with nontrivial variable change

A.I. Onishchenko, M.A. Bezuglov

arxiv:2312.06242 v3 · 2023-12-11 · hep-th · hep-ph · 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{W6XWR4ZZ67GMIZLRGT5YKKX7BD}

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

3 papers in Pith

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

Numerical analytical continuation of multivariate hypergeometric functions

Strongly Coupled Sectors in Inflation: Gapless Theories and Unparticles

Receipt and verification

First computed	2026-07-05T08:47:48.662786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7af68f339f7ccc4657134fb852aff08c060025285e7ce16937f79f0772ac482

Aliases

arxiv: 2312.06242 · arxiv_version: 2312.06242v3 · doi: 10.48550/arxiv.2312.06242 · pith_short_12: W6XWR4ZZ67GM · pith_short_16: W6XWR4ZZ67GMIZLR · pith_short_8: W6XWR4ZZ

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/W6XWR4ZZ67GMIZLRGT5YKKX7BD \
  | 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: b7af68f339f7ccc4657134fb852aff08c060025285e7ce16937f79f0772ac482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d38c8191c97ec4baf4d6739f5cb477d6dcaae98fab2f5f8e599030bc1996c1",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-12-11T09:29:05Z",
    "title_canon_sha256": "5fb1f326259de92669a088665cbf31343bb9126263d9d574816c234ef52b8467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.06242",
    "kind": "arxiv",
    "version": 3
  }
}