Pith Number

pith:XK2U77VN

pith:2018:XK2U77VN4OZIIB4OZQEETCOPUZ

not attested not anchored not stored refs pending

Maximum of the characteristic polynomial for a random permutation matrix

Nicholas Cook, Ofer Zeitouni

arxiv:1806.07549 v1 · 2018-06-20 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XK2U77VN4OZIIB4OZQEETCOPUZ}

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	2026-05-18T00:12:47.411090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bab54ffeade3b284078ecc084989cfa66ab6752abcabe0a805335e7052813f83

Aliases

arxiv: 1806.07549 · arxiv_version: 1806.07549v1 · doi: 10.48550/arxiv.1806.07549 · pith_short_12: XK2U77VN4OZI · pith_short_16: XK2U77VN4OZIIB4O · pith_short_8: XK2U77VN

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/XK2U77VN4OZIIB4OZQEETCOPUZ \
  | 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: bab54ffeade3b284078ecc084989cfa66ab6752abcabe0a805335e7052813f83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e4e77de8e92c46360c9553019fb3df9a79a232397e13dd67473f424b875b22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-20T04:46:23Z",
    "title_canon_sha256": "0bec24b8ff1065e2a351ee9b09596c1da797ded7805edd0414a23a70a5dde58c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07549",
    "kind": "arxiv",
    "version": 1
  }
}