Pith Number

pith:S5HAZTRK

pith:2015:S5HAZTRK5OGKMI4CBBBX2OKA4K

not attested not anchored not stored refs pending

Gelfand-Kirillov dimensions of the $Z^2$-graded oscillator representations of sl(n)

Zhanqiang Bai

arxiv:1501.04774 v2 · 2015-01-20 · 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{S5HAZTRK5OGKMI4CBBBX2OKA4K}

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	2026-05-18T01:26:34.413416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

974e0cce2aeb8ca6238208437d3940e2afcabae2ce5fea0d1c829f27dcf178f9

Aliases

arxiv: 1501.04774 · arxiv_version: 1501.04774v2 · doi: 10.48550/arxiv.1501.04774 · pith_short_12: S5HAZTRK5OGK · pith_short_16: S5HAZTRK5OGKMI4C · pith_short_8: S5HAZTRK

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/S5HAZTRK5OGKMI4CBBBX2OKA4K \
  | 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: 974e0cce2aeb8ca6238208437d3940e2afcabae2ce5fea0d1c829f27dcf178f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9357902f64c1556e9184f7ebbe76d56278aa822ffa2ed7716ad20a24f025b6f2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-01-20T12:17:18Z",
    "title_canon_sha256": "8735f84b1bec0c0754bbca3b740f0d71c410b27857f5a2329138306c601fdef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04774",
    "kind": "arxiv",
    "version": 2
  }
}