Pith Number

pith:HWUSVJOS

pith:2009:HWUSVJOSMYWOE6JP7G3H7SBSYB

not attested not anchored not stored refs pending

An Aschbacher--O'Nan--Scott theorem for countable linear groups

Tsachik Gelander, Yair Glasner

arxiv:0911.0628 v3 · 2009-11-03 · 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{HWUSVJOSMYWOE6JP7G3H7SBSYB}

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	2026-05-18T03:30:26.263102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3da92aa5d2662ce2792ff9b67fc832c055e1050c140007ab49a32f12876f5b25

Aliases

arxiv: 0911.0628 · arxiv_version: 0911.0628v3 · doi: 10.48550/arxiv.0911.0628 · pith_short_12: HWUSVJOSMYWO · pith_short_16: HWUSVJOSMYWOE6JP · pith_short_8: HWUSVJOS

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/HWUSVJOSMYWOE6JP7G3H7SBSYB \
  | 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: 3da92aa5d2662ce2792ff9b67fc832c055e1050c140007ab49a32f12876f5b25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fec01845c9aa67fbef6bc82021dc5e1589b9312eab0a714c173ac9a3fafeb09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-11-03T20:59:33Z",
    "title_canon_sha256": "b4f2f7f089831e4b32a7879ef93959e8c4b7b4c5dd8b5e017f48133fbc85ed8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0628",
    "kind": "arxiv",
    "version": 3
  }
}