Pith Number

pith:PQSK6IPZ

pith:2010:PQSK6IPZDMK6MX7ZN6PTASNZOE

not attested not anchored not stored refs pending

Bethe subalgebras of the group algebra of the symmetric group

A.Varchenko, E.Mukhin, V.Tarasov

arxiv:1004.4248 v4 · 2010-04-24 · math.QA · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQSK6IPZDMK6MX7ZN6PTASNZOE}

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	2026-05-18T03:30:42.674992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c24af21f91b15e65ff96f9f3049b971363ee14e2f14bbc1ead638e18dbd7de4

Aliases

arxiv: 1004.4248 · arxiv_version: 1004.4248v4 · doi: 10.48550/arxiv.1004.4248 · pith_short_12: PQSK6IPZDMK6 · pith_short_16: PQSK6IPZDMK6MX7Z · pith_short_8: PQSK6IPZ

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/PQSK6IPZDMK6MX7ZN6PTASNZOE \
  | 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: 7c24af21f91b15e65ff96f9f3049b971363ee14e2f14bbc1ead638e18dbd7de4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f5ba72f1984d418eb11d3d34675a268e8f2b19007d9f64ab4ed43b729a0ab0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-04-24T01:52:26Z",
    "title_canon_sha256": "d07bbdd2695ab5741ae12c5db2bbf030a6b33cd6ce457d3b791fcc6fa3a09dd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4248",
    "kind": "arxiv",
    "version": 4
  }
}