Pith Number

pith:RDX3XHUC

pith:2011:RDX3XHUCO43DV746M4IQNZ7OC2

not attested not anchored not stored refs pending

Superboolean rank and the size of the largest triangular submatrix of a random matrix

John Rhodes, Svante Janson, Zur Izhakian

arxiv:1109.5503 v1 · 2011-09-26 · math.RA · math.CO · 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{RDX3XHUCO43DV746M4IQNZ7OC2}

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	2026-05-18T04:12:19.635842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88efbb9e8277363aff9e671106e7ee16a1e6af358e4c917794842773c35a1a72

Aliases

arxiv: 1109.5503 · arxiv_version: 1109.5503v1 · doi: 10.48550/arxiv.1109.5503 · pith_short_12: RDX3XHUCO43D · pith_short_16: RDX3XHUCO43DV746 · pith_short_8: RDX3XHUC

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/RDX3XHUCO43DV746M4IQNZ7OC2 \
  | 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: 88efbb9e8277363aff9e671106e7ee16a1e6af358e4c917794842773c35a1a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbffa6c27094ed98dd296b09162b0047434a297efe1410d26729aa7ca6d3fab4",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-09-26T09:42:05Z",
    "title_canon_sha256": "0173d4d5e0c1e71c5ca723f43d545ed13b7123b29f74f4e9b70f2d9b897bbd9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5503",
    "kind": "arxiv",
    "version": 1
  }
}