Pith Number

pith:XAZN7QJH

pith:2011:XAZN7QJHFGUNZ2YNQM7T3ZHV27

not attested not anchored not stored refs pending

On some properties of nonnegative weakly irreducible tensors

Qingzhi Yang, Yuning Yang

arxiv:1111.0713 v3 · 2011-11-03 · math.SP · math.NA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XAZN7QJHFGUNZ2YNQM7T3ZHV27}

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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

Generalized spectral Tur\'an problems for disjoint cliques

Receipt and verification

First computed	2026-05-18T04:00:15.504775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b832dfc12729a8dceb0d833f3de4f5d7f9b21911cad285a745214cd48fbba31b

Aliases

arxiv: 1111.0713 · arxiv_version: 1111.0713v3 · doi: 10.48550/arxiv.1111.0713 · pith_short_12: XAZN7QJHFGUN · pith_short_16: XAZN7QJHFGUNZ2YN · pith_short_8: XAZN7QJH

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/XAZN7QJHFGUNZ2YNQM7T3ZHV27 \
  | 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: b832dfc12729a8dceb0d833f3de4f5d7f9b21911cad285a745214cd48fbba31b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8540d5a2b4cd3c39cde42c71fb5ba6211923324d270bd5207856c0d7adf16ca7",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-11-03T02:26:36Z",
    "title_canon_sha256": "2984ed89ad882ab71d66e332a286e2d1c21ed4cf4b34a36729412cb7952efa12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0713",
    "kind": "arxiv",
    "version": 3
  }
}