Pith Number

pith:EBCHHB6P

pith:2016:EBCHHB6PSZ7EABAWX7WQK25LG3

not attested not anchored not stored refs pending

On the number of cyclic subgroup in finite groups

Wei Zhou

arxiv:1605.00193 v1 · 2016-05-01 · 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{EBCHHB6PSZ7EABAWX7WQK25LG3}

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	2026-05-18T01:15:56.485380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20447387cf967e400416bfed056bab36fafc27e623c223455380a44a14a5cc64

Aliases

arxiv: 1605.00193 · arxiv_version: 1605.00193v1 · doi: 10.48550/arxiv.1605.00193 · pith_short_12: EBCHHB6PSZ7E · pith_short_16: EBCHHB6PSZ7EABAW · pith_short_8: EBCHHB6P

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/EBCHHB6PSZ7EABAWX7WQK25LG3 \
  | 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: 20447387cf967e400416bfed056bab36fafc27e623c223455380a44a14a5cc64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29fda13e04e7ab5f839fe9791b38a7a3af52769a7ac614b879fb62f5bf80bc2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-01T00:56:43Z",
    "title_canon_sha256": "b34e3e720f5f8e556c870d077fed03307aa40c3a55b4b869def0e6f933d5fc67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00193",
    "kind": "arxiv",
    "version": 1
  }
}