Pith Number

pith:XYRKZV3W

pith:2016:XYRKZV3WQ26ANEG555LL4TXMP5

not attested not anchored not stored refs pending

C^m Eigenfunctions of Perron-Frobenius Operators and a New Approach to Numerical Computation of Hausdorff Dimension

Richard S. Falk, Roger D. Nussbaum

arxiv:1601.06737 v1 · 2016-01-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYRKZV3WQ26ANEG555LL4TXMP5}

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	2026-05-18T01:22:03.835575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be22acd77686bc0690ddef56be4eec7f594f907d170306843ace76737660d5be

Aliases

arxiv: 1601.06737 · arxiv_version: 1601.06737v1 · doi: 10.48550/arxiv.1601.06737 · pith_short_12: XYRKZV3WQ26A · pith_short_16: XYRKZV3WQ26ANEG5 · pith_short_8: XYRKZV3W

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/XYRKZV3WQ26ANEG555LL4TXMP5 \
  | 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: be22acd77686bc0690ddef56be4eec7f594f907d170306843ace76737660d5be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f1e9a1142f7dc9db86a9f412a2a53fcbb274598ce2df02458335589f0398b75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-25T19:32:49Z",
    "title_canon_sha256": "6dae75179a3dc573f22a4473eeec521fe77779b6a27c98356e09485c9f1943c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06737",
    "kind": "arxiv",
    "version": 1
  }
}