Pith Number

pith:4S7XGTY6

pith:2011:4S7XGTY6JBH3F6SUDYFSNCD33C

not attested not anchored not stored refs pending

The spherical systems of the wonderful reductive subgroups

Guido Pezzini, Paolo Bravi

arxiv:1109.6777 v2 · 2011-09-30 · math.RT · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4S7XGTY6JBH3F6SUDYFSNCD33C}

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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.

Cited by

1 paper in Pith

On computing the spherical roots for a class of spherical subgroups

Receipt and verification

First computed	2026-05-18T00:32:36.785855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4bf734f1e484fb2fa541e0b26887bd8bdbd8255e5eb24b44ad00897089d2148

Aliases

arxiv: 1109.6777 · arxiv_version: 1109.6777v2 · doi: 10.48550/arxiv.1109.6777 · pith_short_12: 4S7XGTY6JBH3 · pith_short_16: 4S7XGTY6JBH3F6SU · pith_short_8: 4S7XGTY6

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/4S7XGTY6JBH3F6SUDYFSNCD33C \
  | 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: e4bf734f1e484fb2fa541e0b26887bd8bdbd8255e5eb24b44ad00897089d2148

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40622be13d6a9c0fc0433fdf0f4641d09fc6fd8e7c6a0a1d65a93ba862dc78cf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-09-30T10:01:39Z",
    "title_canon_sha256": "15b010a489756781ec2fdb5898431b841c707806f8beaa31235eded3ce609879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6777",
    "kind": "arxiv",
    "version": 2
  }
}