Pith Number

pith:AFNQ23UP

pith:2003:AFNQ23UPX5TYVUGPF2QJHVXMIO

not attested not anchored not stored refs pending

Good Gradings of Simple Lie Algebras

A.G. Elashvili, V.G. Kac

arxiv:math-ph/0312030 v2 · 2003-12-10 · 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{AFNQ23UPX5TYVUGPF2QJHVXMIO}

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	2026-05-18T03:01:56.897691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

015b0d6e8fbf678ad0cf2ea093d6ec43ac28937651e33fef02bf863ae6ae2463

Aliases

arxiv: math-ph/0312030 · arxiv_version: math-ph/0312030v2 · doi: 10.48550/arxiv.math-ph/0312030 · pith_short_12: AFNQ23UPX5TY · pith_short_16: AFNQ23UPX5TYVUGP · pith_short_8: AFNQ23UP

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/AFNQ23UPX5TYVUGPF2QJHVXMIO \
  | 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: 015b0d6e8fbf678ad0cf2ea093d6ec43ac28937651e33fef02bf863ae6ae2463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23745baf1fa7aa895f849e944cf3aad38c4a0a22e87611d666d37bb616d911bc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-12-10T16:32:46Z",
    "title_canon_sha256": "52b201bff6cd84f52fbb4cecbacce7dc46b202a8cec34f1bd23c769da862fd42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0312030",
    "kind": "arxiv",
    "version": 2
  }
}