Pith Number

pith:GHTLLF3M

pith:2005:GHTLLF3M7CQJG6D5M55C5HH3LB

not attested not anchored not stored refs pending

Defining relations associated with the principal sl(2)-subalgebras of simple Lie algebras

Dimitry Leites, Pavel Grozman

arxiv:math-ph/0510013 v1 · 2005-10-03 · 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{GHTLLF3M7CQJG6D5M55C5HH3LB}

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	2026-05-18T01:05:30.067904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31e6b5976cf8a093787d677a2e9cfb587d25cf7f69ed9907b45e859b4f161dba

Aliases

arxiv: math-ph/0510013 · arxiv_version: math-ph/0510013v1 · doi: 10.48550/arxiv.math-ph/0510013 · pith_short_12: GHTLLF3M7CQJ · pith_short_16: GHTLLF3M7CQJG6D5 · pith_short_8: GHTLLF3M

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/GHTLLF3M7CQJG6D5M55C5HH3LB \
  | 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: 31e6b5976cf8a093787d677a2e9cfb587d25cf7f69ed9907b45e859b4f161dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d183cd335a4d26a763e03c4666869daa2989527c85b8a500e1dc78693357977",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-10-03T16:11:36Z",
    "title_canon_sha256": "f9c4d73959ccec6d2795cf55f2a8413b57705d9469d81262cba7f97f6d9b8da4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0510013",
    "kind": "arxiv",
    "version": 1
  }
}