Pith Number

pith:L7BGLHAW

pith:2006:L7BGLHAWNT4ZHWYKFYUP4VXNLZ

not attested not anchored not stored refs pending

Column-partitioned matrices over rings without invertible transversal submatrices

Erkko Lehtonen, Stephan Foldes

arxiv:math/0611551 v1 · 2006-11-18 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7BGLHAWNT4ZHWYKFYUP4VXNLZ}

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	2026-05-18T04:27:15.464144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fc2659c166cf993db0a2e28fe56ed5e5b4df67b668f58d711207c21bc6a9a90

Aliases

arxiv: math/0611551 · arxiv_version: math/0611551v1 · doi: 10.48550/arxiv.math/0611551 · pith_short_12: L7BGLHAWNT4Z · pith_short_16: L7BGLHAWNT4ZHWYK · pith_short_8: L7BGLHAW

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/L7BGLHAWNT4ZHWYKFYUP4VXNLZ \
  | 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: 5fc2659c166cf993db0a2e28fe56ed5e5b4df67b668f58d711207c21bc6a9a90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39f6cb48f025fc1423c017464bc480c2c1dff8d22492715263d357ab61ac381c",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-11-18T00:27:24Z",
    "title_canon_sha256": "a32cba68921dd4f454cc9eeeaf08240d3a5f05ca53d1809d856f63611d6fd9eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611551",
    "kind": "arxiv",
    "version": 1
  }
}