Pith Number

pith:OLZPBQ7Y

pith:2026:OLZPBQ7YNFKRFNHO6YC3Z6KJAP

not attested not anchored not stored refs pending

Termination of the Lattice-Automorphism Tower for Direct Products of Symmetric Groups

Sonukumar, Vinay Madhusudanan

arxiv:2605.21025 v1 · 2026-05-20 · 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{OLZPBQ7YNFKRFNHO6YC3Z6KJAP}

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	2026-05-21T01:05:33.005569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72f2f0c3f8695512b4eef605bcf94903de4bfd913531418975a6ad9de2f70cc5

Aliases

arxiv: 2605.21025 · arxiv_version: 2605.21025v1 · doi: 10.48550/arxiv.2605.21025 · pith_short_12: OLZPBQ7YNFKR · pith_short_16: OLZPBQ7YNFKRFNHO · pith_short_8: OLZPBQ7Y

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/OLZPBQ7YNFKRFNHO6YC3Z6KJAP \
  | 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: 72f2f0c3f8695512b4eef605bcf94903de4bfd913531418975a6ad9de2f70cc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08aea0c90345d67e61e2393cc355abc81e2c3d269784e59ca9140e89071ee37e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-20T11:00:00Z",
    "title_canon_sha256": "826a36eac87c0f2194d06dc6918b3c8835c127e15fee7d2effc2c15d3ca52750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21025",
    "kind": "arxiv",
    "version": 1
  }
}