Pith Number

pith:PZVLB23A

pith:2024:PZVLB23APTRCVO2ZF72ULELO62

not attested not anchored not stored refs pending

The Assouad dimension of Kakeya sets in $\mathbb{R}^3$

Hong Wang, Joshua Zahl

arxiv:2401.12337 v2 · 2024-01-22 · math.CA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZVLB23APTRCVO2ZF72ULELO62}

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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

Improved packing of hypersurfaces in $\mathbb R^d$

Receipt and verification

First computed	2026-07-05T10:58:44.874888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e6ab0eb607ce22abb592ff545916ef68f095bf6259afdf774842d8973e3c0d5

Aliases

arxiv: 2401.12337 · arxiv_version: 2401.12337v2 · doi: 10.48550/arxiv.2401.12337 · pith_short_12: PZVLB23APTRC · pith_short_16: PZVLB23APTRCVO2Z · pith_short_8: PZVLB23A

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/PZVLB23APTRCVO2ZF72ULELO62 \
  | 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: 7e6ab0eb607ce22abb592ff545916ef68f095bf6259afdf774842d8973e3c0d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccab098b9208b47bda48ef2b60a8d6e13501826f9a7c1222ec451448328da3c5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-01-22T20:06:05Z",
    "title_canon_sha256": "0a70b35ba00539cede14f7982370562dbf61f0921e5e72d914ba8219dcfb94e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.12337",
    "kind": "arxiv",
    "version": 2
  }
}