Pith Number

pith:Z7IR6CFI

pith:2009:Z7IR6CFI2GU66FADGRGZM567G6

not attested not anchored not stored refs pending

Perron-Frobenius theorem for nonnegative multilinear forms and extensions

L. Han, S. Friedland, S. Gaubert

arxiv:0905.1626 v3 · 2009-05-11 · math.SP · 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{Z7IR6CFI2GU66FADGRGZM567G6}

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	2026-05-18T04:05:46.169664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd11f08a8d1a9ef1403344d9677df3781facceb337e0764f8b54c05bd5a400e

Aliases

arxiv: 0905.1626 · arxiv_version: 0905.1626v3 · doi: 10.48550/arxiv.0905.1626 · pith_short_12: Z7IR6CFI2GU6 · pith_short_16: Z7IR6CFI2GU66FAD · pith_short_8: Z7IR6CFI

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/Z7IR6CFI2GU66FADGRGZM567G6 \
  | 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: cfd11f08a8d1a9ef1403344d9677df3781facceb337e0764f8b54c05bd5a400e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3739198c0f8eaf53e18d535ea919c42e8fd5edff6cc0eee018d8fca2c7ad625",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2009-05-11T19:33:28Z",
    "title_canon_sha256": "988fb8404cf5b4183933f84ffbd04db5f3621c6ee830bca1d6663eaf6ee3334b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1626",
    "kind": "arxiv",
    "version": 3
  }
}