Pith Number

pith:UUGPOQWN

pith:2026:UUGPOQWNWW2GHI2WYA6J5677KY

not attested not anchored not stored refs pending

Finite groups and rings generating varieties with rapid growth

Alexander Olshanskii

arxiv:2606.04577 v1 · 2026-06-03 · 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{UUGPOQWNWW2GHI2WYA6J5677KY}

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	2026-06-04T01:09:18.920002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a50cf742cdb5b463a356c03c9efbff5600f1ce3f2850ac83f27f12fd4ee3d285

Aliases

arxiv: 2606.04577 · arxiv_version: 2606.04577v1 · doi: 10.48550/arxiv.2606.04577 · pith_short_12: UUGPOQWNWW2G · pith_short_16: UUGPOQWNWW2GHI2W · pith_short_8: UUGPOQWN

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/UUGPOQWNWW2GHI2WYA6J5677KY \
  | 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: a50cf742cdb5b463a356c03c9efbff5600f1ce3f2850ac83f27f12fd4ee3d285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60b765b9b181fe368dba73f6681f8b16cf1b6a2b55c73e6d5aed8321fedb2630",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-03T08:12:04Z",
    "title_canon_sha256": "6f5d20484f4c7f7f987036b9249799ed97d475fbe1a1e42d91083bea7323a452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04577",
    "kind": "arxiv",
    "version": 1
  }
}