Pith Number

pith:WMB6IGZ7

pith:2013:WMB6IGZ7L5GX7N4S4T3TK32X5W

not attested not anchored not stored refs pending

On the maximal cross number of unique factorization indexed multisets

Daniel Kriz

arxiv:1301.1401 v1 · 2013-01-08 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMB6IGZ7L5GX7N4S4T3TK32X5W}

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	2026-05-18T03:36:57.602218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b303e41b3f5f4d7fb792e4f7356f57edafedb87d76e62d5ae18da99a917533f5

Aliases

arxiv: 1301.1401 · arxiv_version: 1301.1401v1 · doi: 10.48550/arxiv.1301.1401 · pith_short_12: WMB6IGZ7L5GX · pith_short_16: WMB6IGZ7L5GX7N4S · pith_short_8: WMB6IGZ7

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/WMB6IGZ7L5GX7N4S4T3TK32X5W \
  | 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: b303e41b3f5f4d7fb792e4f7356f57edafedb87d76e62d5ae18da99a917533f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b930c5749abe087cdd5f709e02e56cd21a8924b0b4c46a0cd5f67c206656790d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-08T03:01:13Z",
    "title_canon_sha256": "341f1c3d920710f67eb153613437b9539374988199b8007548ce8415ac177d0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1401",
    "kind": "arxiv",
    "version": 1
  }
}