Pith Number

pith:ABA6UEJD

pith:2024:ABA6UEJDYZB35MTYR6F6QNE2QC

not attested not anchored not stored refs pending

Analytic continuations and numerical evaluation of the Appell $F_1$, $F_3$, Lauricella $F_D^{(3)}$ and Lauricella-Saran $F_S^{(3)}$ and their Application to Feynman Integrals

Souvik Bera, Tanay Pathak

arxiv:2403.02237 v2 · 2024-03-04 · hep-ph · cs.MS · 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{ABA6UEJDYZB35MTYR6F6QNE2QC}

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

2 papers in Pith

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

Numerical analytical continuation of multivariate hypergeometric functions

Receipt and verification

First computed	2026-07-05T09:55:54.999162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0041ea1123c643beb2788f8be8349a8090408d0e8753d9ec28cc39499f238d30

Aliases

arxiv: 2403.02237 · arxiv_version: 2403.02237v2 · doi: 10.48550/arxiv.2403.02237 · pith_short_12: ABA6UEJDYZB3 · pith_short_16: ABA6UEJDYZB35MTY · pith_short_8: ABA6UEJD

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/ABA6UEJDYZB35MTYR6F6QNE2QC \
  | 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: 0041ea1123c643beb2788f8be8349a8090408d0e8753d9ec28cc39499f238d30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e7e2174d514a53100db9c8ccb4073b482c01d98ec71629388bb0d5b05efedf1",
    "cross_cats_sorted": [
      "cs.MS",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-03-04T17:29:25Z",
    "title_canon_sha256": "047a8e1c0652ff45c9218595491cf514363e04867469b201551e0964dde9d3c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.02237",
    "kind": "arxiv",
    "version": 2
  }
}