Pith Number

pith:QPDV5USI

pith:2016:QPDV5USIPSNWQHZE4WF6DIB26T

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: Applications in $\mathbb{R}^1$

Richard S. Falk, Roger D. Nussbaum

arxiv:1612.00870 v2 · 2016-12-02 · 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{QPDV5USIPSNWQHZE4WF6DIB26T}

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	2026-05-18T00:36:19.454681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83c75ed2487c9b681f24e58be1a03af4d7625c09fc9fff846a7528ef856284c3

Aliases

arxiv: 1612.00870 · arxiv_version: 1612.00870v2 · doi: 10.48550/arxiv.1612.00870 · pith_short_12: QPDV5USIPSNW · pith_short_16: QPDV5USIPSNWQHZE · pith_short_8: QPDV5USI

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/QPDV5USIPSNWQHZE4WF6DIB26T \
  | 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: 83c75ed2487c9b681f24e58be1a03af4d7625c09fc9fff846a7528ef856284c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1813ec840c778b822d5e80825f9287247a8dc6aac441a3c4cb2c102a5339d9f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-02T21:42:25Z",
    "title_canon_sha256": "c1b7988345a42e67f98cba685b3af31f472bd8d10c91e73724c78acdcaf79e0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00870",
    "kind": "arxiv",
    "version": 2
  }
}