Pith Number

pith:XD7FIKVN

pith:2026:XD7FIKVNICOWDDU7FZKTQTYIV6

not attested not anchored not stored refs pending

The structure of finite groups invariably generated by two elements of prime order

Chris Parker, Inna Capdeboscq

arxiv:2608.03935 v1 · 2026-08-04 · 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{XD7FIKVNICOWDDU7FZKTQTYIV6}

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	2026-08-05T01:37:32.392558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8fe542aad409d618e9f2e55384f08afbd9974a73f7ea382011af22ebe843dc8

Aliases

arxiv: 2608.03935 · arxiv_version: 2608.03935v1 · doi: 10.48550/arxiv.2608.03935 · pith_short_12: XD7FIKVNICOW · pith_short_16: XD7FIKVNICOWDDU7 · pith_short_8: XD7FIKVN

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/XD7FIKVNICOWDDU7FZKTQTYIV6 \
  | 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: b8fe542aad409d618e9f2e55384f08afbd9974a73f7ea382011af22ebe843dc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5665e93a7cf559a981c01586548ecb9bdc70f8735bcd459f9f3563282cb46fb7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-08-04T17:06:50Z",
    "title_canon_sha256": "5a2e0ac52a755c4742fb3c0d9bba32f5a6479ec1062e65a35eb193a7ecdc5d2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03935",
    "kind": "arxiv",
    "version": 1
  }
}