Pith Number

pith:CI4GC3XA

pith:2018:CI4GC3XADXC5MXPOXMO46ZQO46

not attested not anchored not stored refs pending

A probabilistic proof of Perron's theorem

Joseba Dalmau, Rapha\"el Cerf

arxiv:1801.05252 v2 · 2018-01-16 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CI4GC3XADXC5MXPOXMO46ZQO46}

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	2026-07-05T00:29:18.148860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1238616ee01dc5d65deebb1dcf660ee780d61f4855e5f5d4b03dc73198739423

Aliases

arxiv: 1801.05252 · arxiv_version: 1801.05252v2 · doi: 10.48550/arxiv.1801.05252 · pith_short_12: CI4GC3XADXC5 · pith_short_16: CI4GC3XADXC5MXPO · pith_short_8: CI4GC3XA

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/CI4GC3XADXC5MXPOXMO46ZQO46 \
  | 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: 1238616ee01dc5d65deebb1dcf660ee780d61f4855e5f5d4b03dc73198739423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b07f75ad964e19d0d32f6d2c2a8d75ceb04575b338c5b2e214446b493da0de67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-16T13:37:20Z",
    "title_canon_sha256": "350623f35d1def7692f38388cfac95dddefe1611ed50d42477a8098a8e7a898e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05252",
    "kind": "arxiv",
    "version": 2
  }
}