Pith Number

pith:TYSSCWEN

pith:2014:TYSSCWENRQPPZGOFPHCDZAO7VK

not attested not anchored not stored refs pending

Evaluation of Matrix-variate Gamma and Beta Integrals as Multiple Integrals and Kober Fractional Integral Operators in the Complex Matrix Variate Case

A.M. Mathai

arxiv:1409.7559 v1 · 2014-09-26 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYSSCWENRQPPZGOFPHCDZAO7VK}

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.

Receipt and verification

First computed	2026-05-18T02:41:52.425594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2521588d8c1efc99c579c43c81dfaa8168e7c96ff3b1c54471f7335eb81ecf

Aliases

arxiv: 1409.7559 · arxiv_version: 1409.7559v1 · doi: 10.48550/arxiv.1409.7559 · pith_short_12: TYSSCWENRQPP · pith_short_16: TYSSCWENRQPPZGOF · pith_short_8: TYSSCWEN

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/TYSSCWENRQPPZGOFPHCDZAO7VK \
  | 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: 9e2521588d8c1efc99c579c43c81dfaa8168e7c96ff3b1c54471f7335eb81ecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85c6a7d5de8492c77698c2a2be01fc007ae1a7a9bd270985c16469550081feca",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-26T12:50:25Z",
    "title_canon_sha256": "57e5669a8853c185378a1a7236228d21b163805a74e8d7de9f8eda3fba6e6b65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7559",
    "kind": "arxiv",
    "version": 1
  }
}