Pith Number

pith:RXB42CE2

pith:2015:RXB42CE2QHSYAM6NSVII5GGIXC

not attested not anchored not stored refs pending

A Dirac-Dunkl equation on $S^2$ and the Bannai-Ito algebra

Hendrik De Bie, Luc Vinet, Vincent X. Genest

arxiv:1501.03108 v1 · 2015-01-13 · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RXB42CE2QHSYAM6NSVII5GGIXC}

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	2026-05-18T01:11:00.303376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dc3cd089a81e58033cd95508e98c8b88d4da212c2443db66a1a535f7a297d4b

Aliases

arxiv: 1501.03108 · arxiv_version: 1501.03108v1 · doi: 10.48550/arxiv.1501.03108 · pith_short_12: RXB42CE2QHSY · pith_short_16: RXB42CE2QHSYAM6N · pith_short_8: RXB42CE2

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/RXB42CE2QHSYAM6NSVII5GGIXC \
  | 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: 8dc3cd089a81e58033cd95508e98c8b88d4da212c2443db66a1a535f7a297d4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca8a315ae3df719f94a34192d6d166fda28c66a12c22d3400b233a3d776abe9a",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-01-13T18:55:27Z",
    "title_canon_sha256": "c1f77d082dcd1a2567c505bfdc236409b36d3313e31e83efdcb078564a3dec47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03108",
    "kind": "arxiv",
    "version": 1
  }
}