Pith Number

pith:Y254RZ24

pith:2018:Y254RZ24WOQRYWXKCEP752U3CG

not attested not anchored not stored refs pending

On the rank of a random binary matrix

A.M. Frieze, C. Cooper, W.Pegden

arxiv:1806.04988 v2 · 2018-06-13 · 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{Y254RZ24WOQRYWXKCEP752U3CG}

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	2026-05-18T00:00:39.499279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6bbc8e75cb3a11c5aea111ffeea9b11a34af32dd1820dfcfe1b4bdc3627a099

Aliases

arxiv: 1806.04988 · arxiv_version: 1806.04988v2 · doi: 10.48550/arxiv.1806.04988 · pith_short_12: Y254RZ24WOQR · pith_short_16: Y254RZ24WOQRYWXK · pith_short_8: Y254RZ24

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/Y254RZ24WOQRYWXKCEP752U3CG \
  | 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: c6bbc8e75cb3a11c5aea111ffeea9b11a34af32dd1820dfcfe1b4bdc3627a099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91c4302a51223d4788d4caf7289a67bc55bb40312d5d7078a809a17fcbba52f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-13T12:43:19Z",
    "title_canon_sha256": "5f73c35c125b70aab568365658c2af2067dc1ae629a1585469d4d368243e10bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04988",
    "kind": "arxiv",
    "version": 2
  }
}