Pith Number

pith:54CLU6IJ

pith:2012:54CLU6IJWYZVFGVIIIV5IUAGNH

not attested not anchored not stored refs pending

Counting fine gradings on matrix algebras and on classical simple Lie algebras

Mikhail Kochetov, Nicholas Parsons, Sergey Sadov

arxiv:1210.4589 v3 · 2012-10-16 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54CLU6IJWYZVFGVIIIV5IUAGNH}

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	2026-05-18T01:59:59.244298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef04ba7909b633529aa8422bd4500669d6a4c3de678f534204a36eff02a2a3f4

Aliases

arxiv: 1210.4589 · arxiv_version: 1210.4589v3 · doi: 10.48550/arxiv.1210.4589 · pith_short_12: 54CLU6IJWYZV · pith_short_16: 54CLU6IJWYZVFGVI · pith_short_8: 54CLU6IJ

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/54CLU6IJWYZVFGVIIIV5IUAGNH \
  | 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: ef04ba7909b633529aa8422bd4500669d6a4c3de678f534204a36eff02a2a3f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "657567672b2cc700c94548656682f2eac0d2dd1e9f25ce06a6569f2be1ecaa02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-10-16T22:23:20Z",
    "title_canon_sha256": "392c366db070dfe0705bd796225bca60e7e48a486a26ce2f2fb6a44d587f4dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4589",
    "kind": "arxiv",
    "version": 3
  }
}