Pith Number

pith:BPWA2SPN

pith:2010:BPWA2SPNKS3PXX4IJOQ2NHGKK3

not attested not anchored not stored refs pending

Singularity of Random Matrices over Finite Fields

Kenneth Maples

arxiv:1012.2372 v2 · 2010-12-10 · 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{BPWA2SPNKS3PXX4IJOQ2NHGKK3}

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.

Cited by

1 paper in Pith

Probability of super-regular matrices and MDS codes over finite fields

Receipt and verification

First computed	2026-05-18T03:17:54.259758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bec0d49ed54b6fbdf884ba1a69cca56feeef2757fc5d273d485e7091fa39935

Aliases

arxiv: 1012.2372 · arxiv_version: 1012.2372v2 · doi: 10.48550/arxiv.1012.2372 · pith_short_12: BPWA2SPNKS3P · pith_short_16: BPWA2SPNKS3PXX4I · pith_short_8: BPWA2SPN

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/BPWA2SPNKS3PXX4IJOQ2NHGKK3 \
  | 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: 0bec0d49ed54b6fbdf884ba1a69cca56feeef2757fc5d273d485e7091fa39935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f18ec29699eb696da62e8d78689a65e22bfc53fc189dd372c5854ed5d28d27df",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-10T20:30:10Z",
    "title_canon_sha256": "f2215d4638fae20917e17cbeb08bf0cb31569d6176bb45330a8c96979c0cb476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2372",
    "kind": "arxiv",
    "version": 2
  }
}