Pith Number

pith:ZP4MK56C

pith:2018:ZP4MK56CZFS262CUJHPYU6FSCO

not attested not anchored not stored refs pending

The Racah algebra as a commutant and Howe duality

Alexei Zhedanov, Julien Gaboriaud, Luc Vinet, St\'ephane Vinet

arxiv:1808.05261 v1 · 2018-08-15 · math-ph · 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{ZP4MK56CZFS262CUJHPYU6FSCO}

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	2026-05-17T23:59:05.752291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbf8c577c2c965af685449df8a78b213aec41f9027c58cf4980e1a9cc2628ece

Aliases

arxiv: 1808.05261 · arxiv_version: 1808.05261v1 · doi: 10.48550/arxiv.1808.05261 · pith_short_12: ZP4MK56CZFS2 · pith_short_16: ZP4MK56CZFS262CU · pith_short_8: ZP4MK56C

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/ZP4MK56CZFS262CUJHPYU6FSCO \
  | 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: cbf8c577c2c965af685449df8a78b213aec41f9027c58cf4980e1a9cc2628ece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce3b36d5406ef03bffbbeaa09b5693e90c23bccb6a75f7ff8bc3cb68409a530",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-15T19:19:28Z",
    "title_canon_sha256": "ad23de20beee137a52559bbe1d7aecf12fe32d1b05d7e870f1eb13f473ae2c6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05261",
    "kind": "arxiv",
    "version": 1
  }
}