Pith Number

pith:CLYB3X5D

pith:2017:CLYB3X5DOHCUFM4PMPCXBO5ZGO

not attested not anchored not stored refs pending

A finite simple group is CCA if and only if it has no element of order four

Gabriel Verret, Joy Morris, Luke Morgan

arxiv:1703.07905 v1 · 2017-03-23 · math.GR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLYB3X5DOHCUFM4PMPCXBO5ZGO}

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	2026-05-18T00:48:04.472270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f01ddfa371c542b38f63c570bbb933a302197e51cb6d14feb1ea5f01e5e181

Aliases

arxiv: 1703.07905 · arxiv_version: 1703.07905v1 · doi: 10.48550/arxiv.1703.07905 · pith_short_12: CLYB3X5DOHCU · pith_short_16: CLYB3X5DOHCUFM4P · pith_short_8: CLYB3X5D

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/CLYB3X5DOHCUFM4PMPCXBO5ZGO \
  | 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: 12f01ddfa371c542b38f63c570bbb933a302197e51cb6d14feb1ea5f01e5e181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369ba3ff8fa8960a799b54ee295a04fe2935c692155253fcde7bb8af269c0403",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-23T01:54:28Z",
    "title_canon_sha256": "c6ee6d025de0a8e27043a122d2da751c25b0ec6f9fb7fa947d87ef7cf0797adc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07905",
    "kind": "arxiv",
    "version": 1
  }
}