Pith Number

pith:N6HBBQIT

pith:2012:N6HBBQITWGVS2TEUMZS2PL4Y6A

not attested not anchored not stored refs pending

$r$-extension of Dunkl operator in one variable and Bessel functions of vector index

Ahmed Fitouhi, Fethi Bouzeffour, Lazhar Dhaouadi

arxiv:1209.5277 v3 · 2012-09-24 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N6HBBQITWGVS2TEUMZS2PL4Y6A}

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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	2026-05-18T03:35:40.881441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f8e10c113b1ab2d4c946665a7af98f01da3f064025adbbb363b89b541ba6d53

Aliases

arxiv: 1209.5277 · arxiv_version: 1209.5277v3 · doi: 10.48550/arxiv.1209.5277 · pith_short_12: N6HBBQITWGVS · pith_short_16: N6HBBQITWGVS2TEU · pith_short_8: N6HBBQIT

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/N6HBBQITWGVS2TEUMZS2PL4Y6A \
  | 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: 6f8e10c113b1ab2d4c946665a7af98f01da3f064025adbbb363b89b541ba6d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5de0063b0263dd3815d60394665fee74853f53df405b1dfab1b74b5ec17ba8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-24T14:12:28Z",
    "title_canon_sha256": "ad99f0df32ba6e9152eb35a09a19bd0fad3032a5f045d3e99498052229eb1aa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5277",
    "kind": "arxiv",
    "version": 3
  }
}