Pith Number

pith:PCCLASUL

pith:2026:PCCLASUL24GNKZQWZGYDNDTOYE

not attested not anchored not stored refs pending

Generating simple vigorous groups

Casey Donoven, Collin Bleak, James Hyde, Scott Harper

arxiv:2607.21754 v1 · 2026-07-23 · 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{PCCLASUL24GNKZQWZGYDNDTOYE}

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	2026-07-27T00:20:19.280842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7884b04a8bd70cd56616c9b0368e6ec1312f38f29af30d5f6988d2203ccae329

Aliases

arxiv: 2607.21754 · arxiv_version: 2607.21754v1 · doi: 10.48550/arxiv.2607.21754 · pith_short_12: PCCLASUL24GN · pith_short_16: PCCLASUL24GNKZQW · pith_short_8: PCCLASUL

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/PCCLASUL24GNKZQWZGYDNDTOYE \
  | 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: 7884b04a8bd70cd56616c9b0368e6ec1312f38f29af30d5f6988d2203ccae329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5397572193a8a545b4312d47f037fc38b09b94b93feb4d843a02204dad980cb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-07-23T19:06:33Z",
    "title_canon_sha256": "805819c940f3272a07be77ce349c803df2a0f10da716b554d4fe915669618f43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21754",
    "kind": "arxiv",
    "version": 1
  }
}