Pith Number

pith:DGZHOGEJ

pith:2007:DGZHOGEJ3PT6LXBRQM4YGFIV7H

not attested not anchored not stored refs pending

Overlapping self-affine sets of Kakeya type

Antti Kaenmaki, Pablo Shmerkin

arxiv:0710.0442 v1 · 2007-10-02 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DGZHOGEJ3PT6LXBRQM4YGFIV7H}

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	2026-05-18T00:51:34.482380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19b2771889dbe7e5dc318339831515f9d199df38ca8e966d91dca2e38c5beffc

Aliases

arxiv: 0710.0442 · arxiv_version: 0710.0442v1 · doi: 10.48550/arxiv.0710.0442 · pith_short_12: DGZHOGEJ3PT6 · pith_short_16: DGZHOGEJ3PT6LXBR · pith_short_8: DGZHOGEJ

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/DGZHOGEJ3PT6LXBRQM4YGFIV7H \
  | 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: 19b2771889dbe7e5dc318339831515f9d199df38ca8e966d91dca2e38c5beffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48eced703f91106700773a39759bfd7ca542e77894ea7df356812b9b8f4cb982",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2007-10-02T06:36:59Z",
    "title_canon_sha256": "854226ec7a90e1f73994f61901f1c41df49cf09127d7a23027da09f96ce0c7db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0442",
    "kind": "arxiv",
    "version": 1
  }
}