Pith Number

pith:PNL2QBEE

pith:2013:PNL2QBEEAMTRVXOZDVXJ43T54B

not attested not anchored not stored refs pending

Intertwining operator associated to the complex Dunkl operator of type $G(m,1,N)$

Fethi Bouzeffour, Sami Ghazouani

arxiv:1311.2295 v1 · 2013-11-10 · 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{PNL2QBEEAMTRVXOZDVXJ43T54B}

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	2026-05-18T03:07:33.007451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b57a8048403271addd91d6e9e6e7de05a700b7b7f70db16e9f7dce50112f9a9

Aliases

arxiv: 1311.2295 · arxiv_version: 1311.2295v1 · doi: 10.48550/arxiv.1311.2295 · pith_short_12: PNL2QBEEAMTR · pith_short_16: PNL2QBEEAMTRVXOZ · pith_short_8: PNL2QBEE

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/PNL2QBEEAMTRVXOZDVXJ43T54B \
  | 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: 7b57a8048403271addd91d6e9e6e7de05a700b7b7f70db16e9f7dce50112f9a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a271eac7912bdf739af65205935fc50693a78b8b9a282c7c3bc68d3d973d32d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-10T18:47:22Z",
    "title_canon_sha256": "3ab09f27f8ccb5a84efaa3428d7c0685ffac013c55a835a0139e76816055b5a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2295",
    "kind": "arxiv",
    "version": 1
  }
}