Pith Number

pith:4O3MZXTA

pith:2016:4O3MZXTARTIT4GHHZ4PQ6PENJ7

not attested not anchored not stored refs pending

A higher rank Racah algebra and the $\mathbb{Z}_2^{n}$ Laplace-Dunkl operator

Hendrik De Bie, Luc Vinet, Vincent X. Genest, Wouter van de Vijver

arxiv:1610.02638 v2 · 2016-10-09 · math-ph · math.CA · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4O3MZXTARTIT4GHHZ4PQ6PENJ7}

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	2026-05-18T00:06:26.734637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b6ccde608cd13e18e7cf1f0f3c8d4fdfe64b74c1286b1767514e6017820b2c

Aliases

arxiv: 1610.02638 · arxiv_version: 1610.02638v2 · doi: 10.48550/arxiv.1610.02638 · pith_short_12: 4O3MZXTARTIT · pith_short_16: 4O3MZXTARTIT4GHH · pith_short_8: 4O3MZXTA

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/4O3MZXTARTIT4GHHZ4PQ6PENJ7 \
  | 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: e3b6ccde608cd13e18e7cf1f0f3c8d4fdfe64b74c1286b1767514e6017820b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "795b1b2040bc72d722252b5d6766738cd0316dc5eb030af1f68571c4b06f7cfd",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-09T07:31:04Z",
    "title_canon_sha256": "134925c87de93603ede1f4e6a465a75c6d26932059988b28ae9fc6432d629c22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02638",
    "kind": "arxiv",
    "version": 2
  }
}