Pith Number

pith:5RG4YNQG

pith:2016:5RG4YNQGJG6NEYG4F4K2223I4M

not attested not anchored not stored refs pending

A Probabilistic proof of some integral formulas involving the Meijer $G$-function

Robert E. Gaunt

arxiv:1602.08143 v4 · 2016-02-25 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RG4YNQGJG6NEYG4F4K2223I4M}

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	2026-05-18T00:26:08.872222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec4dcc360649bcd260dc2f15ad6b68e32636a224674038a932fd52d078bad0e3

Aliases

arxiv: 1602.08143 · arxiv_version: 1602.08143v4 · doi: 10.48550/arxiv.1602.08143 · pith_short_12: 5RG4YNQGJG6N · pith_short_16: 5RG4YNQGJG6NEYG4 · pith_short_8: 5RG4YNQG

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/5RG4YNQGJG6NEYG4F4K2223I4M \
  | 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: ec4dcc360649bcd260dc2f15ad6b68e32636a224674038a932fd52d078bad0e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "133f546f03081b0c89f27d60dd441169fa1af05629dd89b6741b634b330a5db7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-02-25T22:58:41Z",
    "title_canon_sha256": "5ec8a31fd32499c59441b28c80e3a0d2f4e7f6f813ae6ab9489e16bc206d27a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08143",
    "kind": "arxiv",
    "version": 4
  }
}