Pith Number

pith:GKQXIR2R

pith:2016:GKQXIR2RBPYVEXD3DDKN5KNW2X

not attested not anchored not stored refs pending

HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalizedhypergeometric functions: Fc hypergeometric function of three variables

B. Kniehl, V. Bytev

arxiv:1602.00917 v2 · 2016-02-02 · 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{GKQXIR2RBPYVEXD3DDKN5KNW2X}

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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

Numerical analytical continuation of multivariate hypergeometric functions

Receipt and verification

First computed	2026-05-18T01:11:48.618304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a17447510bf1525c7b18d4dea9b6d5ddbd46cc16342cb312cc826c3385578f

Aliases

arxiv: 1602.00917 · arxiv_version: 1602.00917v2 · doi: 10.48550/arxiv.1602.00917 · pith_short_12: GKQXIR2RBPYV · pith_short_16: GKQXIR2RBPYVEXD3 · pith_short_8: GKQXIR2R

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/GKQXIR2RBPYVEXD3DDKN5KNW2X \
  | 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: 32a17447510bf1525c7b18d4dea9b6d5ddbd46cc16342cb312cc826c3385578f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b77cafb2a987cffbf152c5b285faf661a0daa00ef86ac84e931d8dae1c682af5",
    "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": "2016-02-02T13:30:53Z",
    "title_canon_sha256": "27f3b1ca2088ff2d8708101aa75d24e608fa519932a6acf7cd2d9c81e9e643a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00917",
    "kind": "arxiv",
    "version": 2
  }
}