Pith Number

pith:Q3IBDKWD

pith:2017:Q3IBDKWD7QYBEKENVKTA3BZXQA

not attested not anchored not stored refs pending

The class three groups of order $p^9$ with exponent $p$

Michael Vaughan-Lee

arxiv:1702.04898 v1 · 2017-02-16 · 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{Q3IBDKWD7QYBEKENVKTA3BZXQA}

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	2026-05-18T00:50:36.839297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d011aac3fc3012288daaa60d87378005dcf81731d9acad562904f6e13c1b30

Aliases

arxiv: 1702.04898 · arxiv_version: 1702.04898v1 · doi: 10.48550/arxiv.1702.04898 · pith_short_12: Q3IBDKWD7QYB · pith_short_16: Q3IBDKWD7QYBEKEN · pith_short_8: Q3IBDKWD

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/Q3IBDKWD7QYBEKENVKTA3BZXQA \
  | 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: 86d011aac3fc3012288daaa60d87378005dcf81731d9acad562904f6e13c1b30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35c65be4fbdbcb377e2288dd850e85077e5f42fbda5e874ffe4b998713f7bad6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-16T09:14:44Z",
    "title_canon_sha256": "31176f7329af0532f615126d2d2d36cd623fd39b2e8803c2825a7ccf8568d9eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04898",
    "kind": "arxiv",
    "version": 1
  }
}