Pith Number

pith:66AGJ5BK

pith:2015:66AGJ5BK3KZ2RFWZBX2YNTNY6Q

not attested not anchored not stored refs pending

A p-adic Perron-Frobenius Theorem

Clayton Petsche, Patrick Dynes, Robert Costa

arxiv:1509.01702 v2 · 2015-09-05 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66AGJ5BK3KZ2RFWZBX2YNTNY6Q}

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	2026-05-18T01:17:32.957352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f78064f42adab3a896d90df586cdb8f41951a1c74deb88168e5e9688c717a4b1

Aliases

arxiv: 1509.01702 · arxiv_version: 1509.01702v2 · doi: 10.48550/arxiv.1509.01702 · pith_short_12: 66AGJ5BK3KZ2 · pith_short_16: 66AGJ5BK3KZ2RFWZ · pith_short_8: 66AGJ5BK

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/66AGJ5BK3KZ2RFWZBX2YNTNY6Q \
  | 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: f78064f42adab3a896d90df586cdb8f41951a1c74deb88168e5e9688c717a4b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9711ca12b1ca4e22fcafe7fb76d3e14d5a03348fad7b59311302d863b041a9c8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-05T14:12:22Z",
    "title_canon_sha256": "06894e4bc195e2c8960212d0735046b143e4ca04e909d187cd44351a2fbb4b80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01702",
    "kind": "arxiv",
    "version": 2
  }
}