Pith Number

pith:ZWCFIWBR

pith:2015:ZWCFIWBRIK5VDRYXAZ7HCYCKFS

not attested not anchored not stored refs pending

On the characterization of the numbers $n$ such that any group of order $n$ has a given property $P$

Logan Crew

arxiv:1501.03170 v1 · 2015-01-06 · 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{ZWCFIWBRIK5VDRYXAZ7HCYCKFS}

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	2026-05-18T02:29:24.532663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd8454583142bb51c717067e71604a2ca88a484a6afa644d78013608d3716d64

Aliases

arxiv: 1501.03170 · arxiv_version: 1501.03170v1 · doi: 10.48550/arxiv.1501.03170 · pith_short_12: ZWCFIWBRIK5V · pith_short_16: ZWCFIWBRIK5VDRYX · pith_short_8: ZWCFIWBR

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/ZWCFIWBRIK5VDRYXAZ7HCYCKFS \
  | 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: cd8454583142bb51c717067e71604a2ca88a484a6afa644d78013608d3716d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d73f647bdb1376c4684609d2653e85e75a7d07ff7deb2f59af360e936e82959",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-06T17:20:46Z",
    "title_canon_sha256": "05f7400f8ba8c78179ca3aa43a29bf8ff17ba83d1198d930439ddcf3507f248c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03170",
    "kind": "arxiv",
    "version": 1
  }
}