Pith Number

pith:Z27K5NX3

pith:2013:Z27K5NX3WLOD5VZC274TH4NA2W

not attested not anchored not stored refs pending

Jackson's $(-1)$-Bessel functions with the Askey-Wilson algebra setting

Fethi Bouzeffour

arxiv:1310.8523 v4 · 2013-10-30 · 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{Z27K5NX3WLOD5VZC274TH4NA2W}

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	2026-05-18T01:03:41.167426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cebeaeb6fbb2dc3ed722d7f933f1a0d5bfadbe01dab6bfd5ed8223b978b10f59

Aliases

arxiv: 1310.8523 · arxiv_version: 1310.8523v4 · doi: 10.48550/arxiv.1310.8523 · pith_short_12: Z27K5NX3WLOD · pith_short_16: Z27K5NX3WLOD5VZC · pith_short_8: Z27K5NX3

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/Z27K5NX3WLOD5VZC274TH4NA2W \
  | 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: cebeaeb6fbb2dc3ed722d7f933f1a0d5bfadbe01dab6bfd5ed8223b978b10f59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60227fe9d72e0827df1ac852663a30d038e2deccc2431a2014c941adf94fbab5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-30T19:03:57Z",
    "title_canon_sha256": "80c209fbfab1fea0298a0e48a0c639c3908d1ecb52e48cdbbd4f692d8fbee7a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8523",
    "kind": "arxiv",
    "version": 4
  }
}