Pith Number

pith:BWU657EY

pith:2012:BWU657EYJESBWN6F7XDBB5FYYD

not attested not anchored not stored refs pending

Dunkl Operators and Related Special Functions

Charles F. Dunkl

arxiv:1210.3010 v1 · 2012-10-10 · 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{BWU657EYJESBWN6F7XDBB5FYYD}

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	2026-05-18T03:43:30.811496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0da9eefc9849241b37c5fdc610f4b8c0cee6a579762e5607f1933f23df1cc501

Aliases

arxiv: 1210.3010 · arxiv_version: 1210.3010v1 · doi: 10.48550/arxiv.1210.3010 · pith_short_12: BWU657EYJESB · pith_short_16: BWU657EYJESBWN6F · pith_short_8: BWU657EY

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/BWU657EYJESBWN6F7XDBB5FYYD \
  | 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: 0da9eefc9849241b37c5fdc610f4b8c0cee6a579762e5607f1933f23df1cc501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5ceaf590ede12e039ee5eb1080084b418a55425db5ba6b1a0c2a468ce84b0e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-10T19:25:01Z",
    "title_canon_sha256": "6e3540e602c8dc2f91b97c1f6efe853fe9e2d8f1da9243e3fc9161d29e9dc2e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3010",
    "kind": "arxiv",
    "version": 1
  }
}