Pith Number

pith:MYMCHFRY

pith:2015:MYMCHFRY7Q54XMKH2LMFWKHF3W

not attested not anchored not stored refs pending

Fractional Integral and Generalized Stieltjes Transforms for Hypergeometric Functions as Transmutation Operators

Tom H. Koornwinder

arxiv:1504.08144 v3 · 2015-04-30 · 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{MYMCHFRY7Q54XMKH2LMFWKHF3W}

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	2026-05-18T01:32:37.140134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6618239638fc3bcbb147d2d85b28e5dd839be79ecc3f313e0e2d38b13b09d2ee

Aliases

arxiv: 1504.08144 · arxiv_version: 1504.08144v3 · doi: 10.48550/arxiv.1504.08144 · pith_short_12: MYMCHFRY7Q54 · pith_short_16: MYMCHFRY7Q54XMKH · pith_short_8: MYMCHFRY

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/MYMCHFRY7Q54XMKH2LMFWKHF3W \
  | 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: 6618239638fc3bcbb147d2d85b28e5dd839be79ecc3f313e0e2d38b13b09d2ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b160e01b5eccfae8b785c8433801c83afe4a2bdbf90bbf326d69eead6df0f31",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-04-30T09:43:43Z",
    "title_canon_sha256": "2bfaf40e75d31d76d5b2a65f97acc353bbe364ce68ec268aaf56eaec1c1f90b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08144",
    "kind": "arxiv",
    "version": 3
  }
}