Pith Number

pith:OEA3VWZB

pith:2015:OEA3VWZBG3ZVK23K36DNTXY3EC

not attested not anchored not stored refs pending

The Smith Normal Form Distribution of a Random Integer Matrix

Richard P. Stanley, Yinghui Wang

arxiv:1506.00160 v2 · 2015-05-30 · 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{OEA3VWZBG3ZVK23K36DNTXY3EC}

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	2026-05-18T00:25:12.109760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7101badb2136f3556b6adf86d9df1b208ce2e92acc1a4e9d69912164d2ef2b27

Aliases

arxiv: 1506.00160 · arxiv_version: 1506.00160v2 · doi: 10.48550/arxiv.1506.00160 · pith_short_12: OEA3VWZBG3ZV · pith_short_16: OEA3VWZBG3ZVK23K · pith_short_8: OEA3VWZB

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/OEA3VWZBG3ZVK23K36DNTXY3EC \
  | 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: 7101badb2136f3556b6adf86d9df1b208ce2e92acc1a4e9d69912164d2ef2b27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c8f28de23805c7e794caefcbe038f6f79868c3ede3e112e0880c89161a11fdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-30T20:00:44Z",
    "title_canon_sha256": "af59cf156d1ac89411632b6ee5d05c47c1d6d29fa5d84991d5abc89c3819acbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00160",
    "kind": "arxiv",
    "version": 2
  }
}