Pith Number

pith:RIMQMKU4

pith:2021:RIMQMKU4XCSVAZ4B3QXMXIKJZL

not attested not anchored not stored refs pending

Racah algebras, the centralizer $Z_n(\mathfrak{sl}_2)$ and its Hilbert-Poincar\'e series

Julien Gaboriaud, Lo\"ic Poulain d'Andecy, Luc Vinet, Nicolas Crampe

arxiv:2105.01086 v1 · 2021-05-03 · math.RT · 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{RIMQMKU4XCSVAZ4B3QXMXIKJZL}

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	2026-07-05T06:29:59.837055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a19062a9cb8a5506781dc2ecba149caf24b8a0a7309f8719c70749f7fc95e58

Aliases

arxiv: 2105.01086 · arxiv_version: 2105.01086v1 · doi: 10.48550/arxiv.2105.01086 · pith_short_12: RIMQMKU4XCSV · pith_short_16: RIMQMKU4XCSVAZ4B · pith_short_8: RIMQMKU4

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/RIMQMKU4XCSVAZ4B3QXMXIKJZL \
  | 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: 8a19062a9cb8a5506781dc2ecba149caf24b8a0a7309f8719c70749f7fc95e58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82bce25f6bce2ac631ba33fadde961e3e2048edd0d0dfe4f69d584c160d347d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-05-03T18:00:06Z",
    "title_canon_sha256": "b7a212d065061b5a9bca874c2fc0f35b4ba16aa1b898d6f6e29443574b8cd3cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.01086",
    "kind": "arxiv",
    "version": 1
  }
}