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Pith Number

pith:65MOSTCV

pith:2012:65MOSTCVVAHOFVPFIET6OT72FA
not attested not anchored not stored refs pending

Representations of complex semi-simple Lie groups and Lie algebras

Apoorva Khare

arxiv:1208.0416 v2 · 2012-08-02 · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{65MOSTCVVAHOFVPFIET6OT72FA}

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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 2026-05-18T03:46:06.657567Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f758e94c55a80ee2d5e54127e74ffa281b914b3c63e001c9b5e5f9f5c36c878b

Aliases

arxiv: 1208.0416 · arxiv_version: 1208.0416v2 · doi: 10.48550/arxiv.1208.0416 · pith_short_12: 65MOSTCVVAHO · pith_short_16: 65MOSTCVVAHOFVPF · pith_short_8: 65MOSTCV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/65MOSTCVVAHOFVPFIET6OT72FA \
  | 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: f758e94c55a80ee2d5e54127e74ffa281b914b3c63e001c9b5e5f9f5c36c878b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b6910c01570d22b39fa257003558a3d723993f2e70f38b5a6ef72cbb06e75acb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-02T06:59:32Z",
    "title_canon_sha256": "13cccad11a0963759f7ecbfaa5636c590adfb1c2cd222dfaee0e95401675621d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0416",
    "kind": "arxiv",
    "version": 2
  }
}