Pith Number

pith:RO2RPFQZ

pith:2013:RO2RPFQZO55555E4WUJ5KGPPWK

not attested not anchored not stored refs pending

HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: $F_D$ and $F_S$ Horn-type hypergeometric functions of three variables

Mikhail Yu. Kalmykov, Sven-Olaf Moch, Vladimir V. Bytev

arxiv:1312.5777 v3 · 2013-12-19 · math-ph · cs.SC · 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{RO2RPFQZO55555E4WUJ5KGPPWK}

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

Numerical analytical continuation of multivariate hypergeometric functions

Receipt and verification

First computed	2026-05-18T02:39:25.577140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bb5179619777bdef49cb513d519efb2bd3d36e68eaa9b13eb9122a6752fa01a

Aliases

arxiv: 1312.5777 · arxiv_version: 1312.5777v3 · doi: 10.48550/arxiv.1312.5777 · pith_short_12: RO2RPFQZO555 · pith_short_16: RO2RPFQZO55555E4 · pith_short_8: RO2RPFQZ

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/RO2RPFQZO55555E4WUJ5KGPPWK \
  | 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: 8bb5179619777bdef49cb513d519efb2bd3d36e68eaa9b13eb9122a6752fa01a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fe9200f0eaf3f8789736752c5737be6f6b6e4295a921eddb627d22ccf8e9a03",
    "cross_cats_sorted": [
      "cs.SC",
      "hep-ph",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-19T23:10:30Z",
    "title_canon_sha256": "88c353273d32bb96613adccd98fdf21a8c8ce52851f50da254a07e8adf4c0e08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5777",
    "kind": "arxiv",
    "version": 3
  }
}