Pith Number

pith:XY5AMMZP

pith:2015:XY5AMMZPK2O5HEMCJ65XZSTV67

not attested not anchored not stored refs pending

Dunkl kernel associated with dihedral group

Hassan Youssfi, Luc Deleaval, Nizar Demni

arxiv:1504.07220 v3 · 2015-04-27 · math.GR · math.CA · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XY5AMMZPK2O5HEMCJ65XZSTV67}

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	2026-05-18T01:37:03.619358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be3a06332f569dd391824fbb7cca75f7d52cc50d129a5fb2c8c888faa1d465c2

Aliases

arxiv: 1504.07220 · arxiv_version: 1504.07220v3 · doi: 10.48550/arxiv.1504.07220 · pith_short_12: XY5AMMZPK2O5 · pith_short_16: XY5AMMZPK2O5HEMC · pith_short_8: XY5AMMZP

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/XY5AMMZPK2O5HEMCJ65XZSTV67 \
  | 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: be3a06332f569dd391824fbb7cca75f7d52cc50d129a5fb2c8c888faa1d465c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26eb5b8802abed5854f192ddd0f9365e56ad63589c9e6c43ca417181aba2d935",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-27T19:31:21Z",
    "title_canon_sha256": "dec6be57ee22e712c7c3b18e90c344fe4438a877a7b97e7a4450f11bb59e92fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07220",
    "kind": "arxiv",
    "version": 3
  }
}