Pith Number

pith:VWXWEKO4

pith:2013:VWXWEKO4MSUGZAG33TTZWXYAKP

not attested not anchored not stored refs pending

Sets of beta-expansions and the Hausdorff Measure of Slices through Fractals

Tom Kempton

arxiv:1307.2091 v1 · 2013-07-08 · math.DS · math.CA · 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{VWXWEKO4MSUGZAG33TTZWXYAKP}

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	2026-05-18T03:19:02.496682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adaf6229dc64a86c80dbdce79b5f0053f8239171dc8fdda6329204bef84ec319

Aliases

arxiv: 1307.2091 · arxiv_version: 1307.2091v1 · doi: 10.48550/arxiv.1307.2091 · pith_short_12: VWXWEKO4MSUG · pith_short_16: VWXWEKO4MSUGZAG3 · pith_short_8: VWXWEKO4

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/VWXWEKO4MSUGZAG33TTZWXYAKP \
  | 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: adaf6229dc64a86c80dbdce79b5f0053f8239171dc8fdda6329204bef84ec319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "110bf819ab94f9290b8c285a18dd4a622b1831d4dd556826ed00c333cc0b964e",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-08T13:46:10Z",
    "title_canon_sha256": "dece9e6d87f92ce0905eac5d96f7990ef2bd22e374c03e1d397d7ae644f8139d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2091",
    "kind": "arxiv",
    "version": 1
  }
}