Pith Number

pith:HMBZ4C5O

pith:2026:HMBZ4C5OB4FZPECVVOLRFKIPPP

not attested not anchored not stored refs pending

A finitely presented group of non-uniform exponential growth

Eduard Schesler, Roman Sauer

arxiv:2605.30163 v1 · 2026-05-28 · 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{HMBZ4C5OB4FZPECVVOLRFKIPPP}

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	2026-05-29T02:06:11.457416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b039e0bae0f0b979055ab9712a90f7beb0ee4fea6303d454d596a97a2271854

Aliases

arxiv: 2605.30163 · arxiv_version: 2605.30163v1 · doi: 10.48550/arxiv.2605.30163 · pith_short_12: HMBZ4C5OB4FZ · pith_short_16: HMBZ4C5OB4FZPECV · pith_short_8: HMBZ4C5O

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/HMBZ4C5OB4FZPECVVOLRFKIPPP \
  | 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: 3b039e0bae0f0b979055ab9712a90f7beb0ee4fea6303d454d596a97a2271854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bc59b41f3c594feb84144fbfba7e161a30d755451537139913aacfdcb04f5ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-28T16:18:08Z",
    "title_canon_sha256": "6d8f813fa1429e963976a898fe6f1d11dd30f8f7f289523d1a05b9fd593499a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30163",
    "kind": "arxiv",
    "version": 1
  }
}