Pith Number

pith:2UFK5JL5

pith:2011:2UFK5JL5GUEZXHAPYJTCKSZ7OU

not attested not anchored not stored refs pending

The Main Diagonal of a Permutation Matrix

Gilbert Strang, Marko Lindner

arxiv:1112.0582 v2 · 2011-12-02 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2UFK5JL5GUEZXHAPYJTCKSZ7OU}

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	2026-05-18T04:06:18.826280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d50aaea57d35099b9c0fc266254b3f75391fb472ea4ae9f1d706d4d4d3490ce7

Aliases

arxiv: 1112.0582 · arxiv_version: 1112.0582v2 · doi: 10.48550/arxiv.1112.0582 · pith_short_12: 2UFK5JL5GUEZ · pith_short_16: 2UFK5JL5GUEZXHAP · pith_short_8: 2UFK5JL5

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/2UFK5JL5GUEZXHAPYJTCKSZ7OU \
  | 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: d50aaea57d35099b9c0fc266254b3f75391fb472ea4ae9f1d706d4d4d3490ce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0682535c3e11935b28ada79668c76182d51f2877d8e37412b496348638721dd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-12-02T21:15:06Z",
    "title_canon_sha256": "7b8741ec36b6ef1582ee27392ea231a156ccabd6d8b23a3ded5d2f4a6d65c649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0582",
    "kind": "arxiv",
    "version": 2
  }
}