Pith Number

pith:TKQ4ZRF6

pith:2014:TKQ4ZRF6OGFW2ZCUVW5HGEG337

not attested not anchored not stored refs pending

Matrix roots of imprimitive irreducible nonnegative matrices

Judith J. McDonald, Pietro Paparella

arxiv:1407.4487 v2 · 2014-07-16 · 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{TKQ4ZRF6OGFW2ZCUVW5HGEG337}

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	2026-05-18T01:53:09.255978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aa1ccc4be718b6d6454adba7310dbdffef37e2a56f97544bc1683f5abba444d

Aliases

arxiv: 1407.4487 · arxiv_version: 1407.4487v2 · doi: 10.48550/arxiv.1407.4487 · pith_short_12: TKQ4ZRF6OGFW · pith_short_16: TKQ4ZRF6OGFW2ZCU · pith_short_8: TKQ4ZRF6

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/TKQ4ZRF6OGFW2ZCUVW5HGEG337 \
  | 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: 9aa1ccc4be718b6d6454adba7310dbdffef37e2a56f97544bc1683f5abba444d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f78e9d20e4cf7775b2086047957c189d1f3f706d55504470365d09b7b5ad3048",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-07-16T20:24:40Z",
    "title_canon_sha256": "b26c9ad9400d7b3b778196f1bf00d56543a4f26b67ca84addc6500283282f2c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4487",
    "kind": "arxiv",
    "version": 2
  }
}