Pith Number

pith:YDMM4RRO

pith:2012:YDMM4RROE5EBCWOMIPZ4GHI33A

not attested not anchored not stored refs pending

Cyclic elements in semisimple Lie algebras

A. G. Elashvili, E. B. Vinberg, V. G. Kac

arxiv:1205.0515 v1 · 2012-05-02 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDMM4RROE5EBCWOMIPZ4GHI33A}

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	2026-05-18T03:02:05.871301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0d8ce462e27481159cc43f3c31d1bd82a1702ee7a0fd0b53d903def851df91d

Aliases

arxiv: 1205.0515 · arxiv_version: 1205.0515v1 · doi: 10.48550/arxiv.1205.0515 · pith_short_12: YDMM4RROE5EB · pith_short_16: YDMM4RROE5EBCWOM · pith_short_8: YDMM4RRO

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/YDMM4RROE5EBCWOMIPZ4GHI33A \
  | 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: c0d8ce462e27481159cc43f3c31d1bd82a1702ee7a0fd0b53d903def851df91d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6087cfb6d739966d90b10ab259ba0e6a77d66bdca57f39bccf571ad89963b2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-02T18:28:38Z",
    "title_canon_sha256": "6751b25cb79b54c0017715fa1c9cd8f3f697992a288000388e9da22ed03b716c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0515",
    "kind": "arxiv",
    "version": 1
  }
}