Pith Number

pith:VCOGKBH4

pith:2015:VCOGKBH4DEOWAJDGGT2QVEOBXZ

not attested not anchored not stored refs pending

The $\mathbb{Z}_2^n$ Dirac-Dunkl operator and a higher rank Bannai-Ito algebra

Hendrik De Bie, Luc Vinet, Vincent X. Genest

arxiv:1511.02177 v2 · 2015-11-06 · 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{VCOGKBH4DEOWAJDGGT2QVEOBXZ}

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	2026-05-18T00:50:52.420638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89c6504fc191d60246634f50a91c1be760674ab8e92e65f56a5a40c405d1a3a

Aliases

arxiv: 1511.02177 · arxiv_version: 1511.02177v2 · doi: 10.48550/arxiv.1511.02177 · pith_short_12: VCOGKBH4DEOW · pith_short_16: VCOGKBH4DEOWAJDG · pith_short_8: VCOGKBH4

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/VCOGKBH4DEOWAJDGGT2QVEOBXZ \
  | 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: a89c6504fc191d60246634f50a91c1be760674ab8e92e65f56a5a40c405d1a3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "563d6257516cbebf433c41808a0f0154f977600164e0d3c40999883ce789117b",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-06T18:03:51Z",
    "title_canon_sha256": "19196fcfca3709e114ecd5798aa8d6073ee85c2350af96baa11d9b0c75c78eaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02177",
    "kind": "arxiv",
    "version": 2
  }
}