Pith Number

pith:PCHQXO3Z

pith:2015:PCHQXO3ZRNNYRAO6TGHVMWE5WG

not attested not anchored not stored refs pending

Isomorphism classes of $k$-involutions of algebraic groups of type $E_6$

John Hutchens

arxiv:1504.04587 v3 · 2015-04-17 · 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{PCHQXO3ZRNNYRAO6TGHVMWE5WG}

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	2026-05-18T01:23:29.362978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

788f0bbb798b5b8881de998f56589db19bf47339f20979bcd3b56f85b39cb08d

Aliases

arxiv: 1504.04587 · arxiv_version: 1504.04587v3 · doi: 10.48550/arxiv.1504.04587 · pith_short_12: PCHQXO3ZRNNY · pith_short_16: PCHQXO3ZRNNYRAO6 · pith_short_8: PCHQXO3Z

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/PCHQXO3ZRNNYRAO6TGHVMWE5WG \
  | 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: 788f0bbb798b5b8881de998f56589db19bf47339f20979bcd3b56f85b39cb08d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b889d192dbd3c6ae0c09b642aeec1fd86ed2dd9f1b788db62ce8ae2709b9a9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-17T17:29:06Z",
    "title_canon_sha256": "47fd8e9d5541c765db827700dbc1d13a1291e4a8b3ab45c010e1bcfaadf9dc7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04587",
    "kind": "arxiv",
    "version": 3
  }
}