Pith Number

pith:K4UEZAGZ

pith:2013:K4UEZAGZLAIT62EXI6WR7L42BD

not attested not anchored not stored refs pending

Isomorphism classes of $k$-involutions of algebraic groups of type $F_4$

John Hutchens

arxiv:1311.5872 v2 · 2013-11-22 · 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{K4UEZAGZLAIT62EXI6WR7L42BD}

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	2026-05-18T01:23:29.958546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57284c80d958113f689747ad1faf9a08e25248c7e0aa84971d0ffe4dfab37154

Aliases

arxiv: 1311.5872 · arxiv_version: 1311.5872v2 · doi: 10.48550/arxiv.1311.5872 · pith_short_12: K4UEZAGZLAIT · pith_short_16: K4UEZAGZLAIT62EX · pith_short_8: K4UEZAGZ

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/K4UEZAGZLAIT62EXI6WR7L42BD \
  | 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: 57284c80d958113f689747ad1faf9a08e25248c7e0aa84971d0ffe4dfab37154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "870e9d85301fa017255de5de537f9ed04e15831c44a70c9635e775e2c96a8007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-22T20:31:00Z",
    "title_canon_sha256": "ee6ce43447ad287873873f21443e6bf9d2c472a6e6f37b26842708a8b9663493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5872",
    "kind": "arxiv",
    "version": 2
  }
}