Pith Number

pith:WDZKAUXM

pith:2014:WDZKAUXMWN2C26LBOUDTBXZUWG

not attested not anchored not stored refs pending

Two new kinds of numbers and related divisibility results

Zhi-Wei Sun

arxiv:1408.5381 v10 · 2014-08-21 · math.NT · 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{WDZKAUXMWN2C26LBOUDTBXZUWG}

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	2026-05-18T00:01:10.935411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f2a052ecb3742d7961750730df34b1a429e90f1510d3aaae2c8f675b76bbb2

Aliases

arxiv: 1408.5381 · arxiv_version: 1408.5381v10 · doi: 10.48550/arxiv.1408.5381 · pith_short_12: WDZKAUXMWN2C · pith_short_16: WDZKAUXMWN2C26LB · pith_short_8: WDZKAUXM

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/WDZKAUXMWN2C26LBOUDTBXZUWG \
  | 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: b0f2a052ecb3742d7961750730df34b1a429e90f1510d3aaae2c8f675b76bbb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da4086f8a1e247b3c5f4fa46eea958d599dfcf57a435640b8c83f6745f1aaf60",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-21T16:15:50Z",
    "title_canon_sha256": "496ee05a089a81e1e4400161739631fe4efe53eeb395c6bec553b284656afe27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5381",
    "kind": "arxiv",
    "version": 10
  }
}