Pith Number

pith:5QXKUKG2

pith:2021:5QXKUKG2QMCFUN3JF7IS33E22E

not attested not anchored not stored refs pending

On the evaluation of the Appell $F_2$ double hypergeometric function

B. Ananthanarayan, O. Marichev, S. Friot, Souvik Bera, Tanay Pathak

arxiv:2111.05798 v1 · 2021-11-08 · math.CA · hep-ph · 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{5QXKUKG2QMCFUN3JF7IS33E22E}

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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	2026-07-05T03:30:48.274900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec2eaa28da83045a37692fd12dec9ad13bce52d45dd94fcb3cd747c2d9245bc9

Aliases

arxiv: 2111.05798 · arxiv_version: 2111.05798v1 · doi: 10.48550/arxiv.2111.05798 · pith_short_12: 5QXKUKG2QMCF · pith_short_16: 5QXKUKG2QMCFUN3J · pith_short_8: 5QXKUKG2

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/5QXKUKG2QMCFUN3JF7IS33E22E \
  | 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: ec2eaa28da83045a37692fd12dec9ad13bce52d45dd94fcb3cd747c2d9245bc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "964f6f243da040e1652e65718910bc458cf1a48e2ccff10bf48f1416976c52df",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-11-08T18:58:50Z",
    "title_canon_sha256": "05936b91dce0a9cfcc6e673bb85aa91450aba50a6630a2674c0e2408db86bde9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.05798",
    "kind": "arxiv",
    "version": 1
  }
}