Pith Number

pith:OM6H5ELK

pith:2012:OM6H5ELKSUOLZZ6Z76ZCQ2NOSI

not attested not anchored not stored refs pending

Indecomposable representations and oscillator realizations of the exceptional Lie algebra G_2

Beijing, China), Dong Ruan (Department of Physics, Hua-Jun Huang, Tsinghua University, You-Ning Li

arxiv:1202.3347 v1 · 2012-02-15 · math-ph · hep-th · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OM6H5ELKSUOLZZ6Z76ZCQ2NOSI}

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	2026-05-18T04:02:14.071390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

733c7e916a951cbce7d9ffb22869ae92251f39f5a32ff692b33cf960300e0077

Aliases

arxiv: 1202.3347 · arxiv_version: 1202.3347v1 · doi: 10.48550/arxiv.1202.3347 · pith_short_12: OM6H5ELKSUOL · pith_short_16: OM6H5ELKSUOLZZ6Z · pith_short_8: OM6H5ELK

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/OM6H5ELKSUOLZZ6Z76ZCQ2NOSI \
  | 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: 733c7e916a951cbce7d9ffb22869ae92251f39f5a32ff692b33cf960300e0077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "696b343f155b78fb538112d1f58f21f282707094842549b335c0745890e9869b",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-15T15:55:17Z",
    "title_canon_sha256": "83e9c59894f133b5d374cf7cd7da944232e0f62ad973d2f68c6f11c8d19f763e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3347",
    "kind": "arxiv",
    "version": 1
  }
}