Pith Number

pith:R7FMJHPA

pith:2011:R7FMJHPAEFZZ7N3IWIS7WOGFVZ

not attested not anchored not stored refs pending

A Connection Formula of the Hahn-Exton $q$-Bessel Function

Takeshi Morita

arxiv:1105.1998 v3 · 2011-05-10 · 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{R7FMJHPAEFZZ7N3IWIS7WOGFVZ}

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	2026-05-18T04:06:17.615730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fcac49de021739fb768b225fb38c5ae41b5e6ec6c1e36c05f8015ade899ae76

Aliases

arxiv: 1105.1998 · arxiv_version: 1105.1998v3 · doi: 10.48550/arxiv.1105.1998 · pith_short_12: R7FMJHPAEFZZ · pith_short_16: R7FMJHPAEFZZ7N3I · pith_short_8: R7FMJHPA

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/R7FMJHPAEFZZ7N3IWIS7WOGFVZ \
  | 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: 8fcac49de021739fb768b225fb38c5ae41b5e6ec6c1e36c05f8015ade899ae76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f2f35ae02f59ea3a6451f36604ab39734e9ddf803b97e63e11edc726641ce3c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-10T17:14:28Z",
    "title_canon_sha256": "a7027bb5454eba916a81c5eeb106914da17e127d6a61e020adb52ed29cbd23a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1998",
    "kind": "arxiv",
    "version": 3
  }
}