Pith Number

pith:XCGBHXMF

pith:2018:XCGBHXMFB4NBVR6FGEZCUWC2BH

not attested not anchored not stored refs pending

A Probabilistic Proof of the Perron-Frobenius Theorem

Paritosh Y. Desai, Peter W. Glynn

arxiv:1808.04964 v1 · 2018-08-15 · math.PR · stat.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XCGBHXMFB4NBVR6FGEZCUWC2BH}

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	2026-05-18T00:08:02.026068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b88c13dd850f1a1ac7c531322a585a09feedc50252f3a90a14cb5931a19cf23d

Aliases

arxiv: 1808.04964 · arxiv_version: 1808.04964v1 · doi: 10.48550/arxiv.1808.04964 · pith_short_12: XCGBHXMFB4NB · pith_short_16: XCGBHXMFB4NBVR6F · pith_short_8: XCGBHXMF

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/XCGBHXMFB4NBVR6FGEZCUWC2BH \
  | 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: b88c13dd850f1a1ac7c531322a585a09feedc50252f3a90a14cb5931a19cf23d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5404441dde0af8e57c5a5ce8b628d623d0e870e831d8427992bcd9aa49092c9f",
    "cross_cats_sorted": [
      "stat.OT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-15T04:19:38Z",
    "title_canon_sha256": "098a953fd3f5e5b410252745f22d6c9702496d39f526994da2db609c22871731"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04964",
    "kind": "arxiv",
    "version": 1
  }
}