Pith Number

pith:NHTW5RRS

pith:2016:NHTW5RRSPRSTBKNOUGXAZFZAAZ

not attested not anchored not stored refs pending

Perron-Frobenius theory and frequency convergence for reducible substitutions

Caglar Uyanik, Martin Lustig

arxiv:1605.02242 v2 · 2016-05-07 · math.DS · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHTW5RRSPRSTBKNOUGXAZFZAAZ}

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	2026-05-17T23:40:36.906484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69e76ec6327c6530a9aea1ae0c9720066a6e21a37a2e1637e0d34b1ca1afb491

Aliases

arxiv: 1605.02242 · arxiv_version: 1605.02242v2 · doi: 10.48550/arxiv.1605.02242 · pith_short_12: NHTW5RRSPRST · pith_short_16: NHTW5RRSPRSTBKNO · pith_short_8: NHTW5RRS

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/NHTW5RRSPRSTBKNOUGXAZFZAAZ \
  | 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: 69e76ec6327c6530a9aea1ae0c9720066a6e21a37a2e1637e0d34b1ca1afb491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "246874d1d56b9c0752410c31dd2e2e64de4200879e22b91e41599298fb6481b8",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-07T20:17:16Z",
    "title_canon_sha256": "8a161da15428c9439c3b83d6af5aec8cecccc45fb78d7f912297130ae4715202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02242",
    "kind": "arxiv",
    "version": 2
  }
}