Pith Number

pith:UPF3D6BC

pith:2012:UPF3D6BCXROCJ5QVYYF6J2TDYK

not attested not anchored not stored refs pending

Induced conjugacy classes, prehomogeneous varieties, and canonical parabolic subgroups

Werner Hoffmann

arxiv:1206.3068 v2 · 2012-06-14 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPF3D6BCXROCJ5QVYYF6J2TDYK}

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	2026-05-18T03:37:18.935913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3cbb1f822bc5c24f615c60be4ea63c2bb915560d640f9d2ba06b7d3827ca085

Aliases

arxiv: 1206.3068 · arxiv_version: 1206.3068v2 · doi: 10.48550/arxiv.1206.3068 · pith_short_12: UPF3D6BCXROC · pith_short_16: UPF3D6BCXROCJ5QV · pith_short_8: UPF3D6BC

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/UPF3D6BCXROCJ5QVYYF6J2TDYK \
  | 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: a3cbb1f822bc5c24f615c60be4ea63c2bb915560d640f9d2ba06b7d3827ca085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b904f67be9615cd6dcfe39c7f48a67f7620ebecaa1826456c708d1d68bb71ffa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-06-14T10:35:21Z",
    "title_canon_sha256": "f6bfa1b50d369355e6bd4291214b93520966bc5e22cdfb1e5ed32a3c75fa7136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3068",
    "kind": "arxiv",
    "version": 2
  }
}