Pith Number

pith:4BPKXR54

pith:2009:4BPKXR54MAYQTPJ4MWIGDTX5XM

not attested not anchored not stored refs pending

The Favard length of product Cantor sets

Izabella Laba, Kelan Zhai

arxiv:0902.0964 v1 · 2009-02-05 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BPKXR54MAYQTPJ4MWIGDTX5XM}

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	2026-05-18T04:37:34.394953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e05eabc7bc603109bd3c659061cefdbb25bd9d06abf698fbdb593e3305c4bbf4

Aliases

arxiv: 0902.0964 · arxiv_version: 0902.0964v1 · doi: 10.48550/arxiv.0902.0964 · pith_short_12: 4BPKXR54MAYQ · pith_short_16: 4BPKXR54MAYQTPJ4 · pith_short_8: 4BPKXR54

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/4BPKXR54MAYQTPJ4MWIGDTX5XM \
  | 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: e05eabc7bc603109bd3c659061cefdbb25bd9d06abf698fbdb593e3305c4bbf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48c42e3664ce2e1218804fce6f3010d36bed5a609920cba4de3c4c9b2a2b90cb",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-02-05T19:38:52Z",
    "title_canon_sha256": "e3075fa0477d70c297c150f369c816a4473eeba1734037e1541bf70882f3a7cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0964",
    "kind": "arxiv",
    "version": 1
  }
}