Pith Number

pith:GTUZY7SF

pith:2025:GTUZY7SFJQOCJUTUVWJPW33QRW

not attested not anchored not stored refs pending

A non-sticky Kakeya set of Lebesgue measure zero

Adeline E. Wong, Chun-kit Lai

arxiv:2506.18142 v1 · 2025-06-22 · 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{GTUZY7SFJQOCJUTUVWJPW33QRW}

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.

Cited by

1 paper in Pith

Mathematical exploration and discovery at scale

Receipt and verification

First computed	2026-07-05T11:25:29.546417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e99c7e454c1c24d274ad92fb6f708da448f405c8360f230e1a0d9f8eafc755

Aliases

arxiv: 2506.18142 · arxiv_version: 2506.18142v1 · doi: 10.48550/arxiv.2506.18142 · pith_short_12: GTUZY7SFJQOC · pith_short_16: GTUZY7SFJQOCJUTU · pith_short_8: GTUZY7SF

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/GTUZY7SFJQOCJUTUVWJPW33QRW \
  | 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: 34e99c7e454c1c24d274ad92fb6f708da448f405c8360f230e1a0d9f8eafc755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e1ca39aa352b8249e9e04ebb33069096a6f4cb3ad2d85125ea66ae47ead4c54",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-06-22T19:10:38Z",
    "title_canon_sha256": "0d43baddde4eb8692c7d661464c1f7068a92e6939bdd26e0e0d4520d3ded5f7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18142",
    "kind": "arxiv",
    "version": 1
  }
}