Pith Number

pith:AMIZNVJF

pith:2018:AMIZNVJF4LTO3HGVVBOATOWMWF

not attested not anchored not stored refs pending

Finite Groups with a Prescribed Number of Cyclic Subgroups II

Joe Dillstrom, Les Reid, Richard Belshoff

arxiv:1810.08328 v1 · 2018-10-19 · 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{AMIZNVJF4LTO3HGVVBOATOWMWF}

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	2026-05-18T00:02:48.479590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

031196d525e2e6ed9cd5a85c09baccb14daf9161ca49a4846f08866a4edae65c

Aliases

arxiv: 1810.08328 · arxiv_version: 1810.08328v1 · doi: 10.48550/arxiv.1810.08328 · pith_short_12: AMIZNVJF4LTO · pith_short_16: AMIZNVJF4LTO3HGV · pith_short_8: AMIZNVJF

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/AMIZNVJF4LTO3HGVVBOATOWMWF \
  | 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: 031196d525e2e6ed9cd5a85c09baccb14daf9161ca49a4846f08866a4edae65c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f21e19d852713b1ccb44f3caa97642314c45bc55c96f57bcf29daaff4263fee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-10-19T01:11:59Z",
    "title_canon_sha256": "981f0939e4d079d8670d701f9ddb6a6bc6214d9dd09f2d1039191394f97644b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08328",
    "kind": "arxiv",
    "version": 1
  }
}