Pith. sign in
Pith Number

pith:PKVNHSIM

pith:2026:PKVNHSIMZUUWXWYKCDWKA2765Z
not attested not anchored not stored refs pending

Automorphisms of Twisted Chevalley Groups of type ${}^2 A_\ell \ (\ell \geq 5)$ over Local Rings

Deep H. Makadiya, Elena I. Bunina

arxiv:2607.22284 v1 · 2026-07-24 · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PKVNHSIMZUUWXWYKCDWKA2765Z}

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 2026-07-27T01:20:57.765654Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7aaad3c90ccd296bdb0a10eca06bfeee61223b82547618828f03508e9f8ba5b9

Aliases

arxiv: 2607.22284 · arxiv_version: 2607.22284v1 · doi: 10.48550/arxiv.2607.22284 · pith_short_12: PKVNHSIMZUUW · pith_short_16: PKVNHSIMZUUWXWYK · pith_short_8: PKVNHSIM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PKVNHSIMZUUWXWYKCDWKA2765Z \
  | 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: 7aaad3c90ccd296bdb0a10eca06bfeee61223b82547618828f03508e9f8ba5b9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "da86d64af2aa27d5660d578c49bcfa2d115a4644d68490f41a0fe541c0d40aa2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-07-24T13:20:59Z",
    "title_canon_sha256": "d6d4c3e9184949bddd946fce911c3b1c048203b33accafeb376d4dabd70322ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22284",
    "kind": "arxiv",
    "version": 1
  }
}