Pith Number

pith:MEYXHPM3

pith:2025:MEYXHPM3NPWNGYAXDALQGZGFZ4

not attested not anchored not stored refs pending

Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Hong Wang, Joshua Zahl

arxiv:2502.17655 v1 · 2025-02-24 · 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{MEYXHPM3NPWNGYAXDALQGZGFZ4}

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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

6 papers in Pith

Monochromatic $k$ in a row

Fourier analytic variants of the Furstenberg and Kakeya problems

A smooth Alpert testing characterization of convolution type for the Fourier extension conjecture on paraboloids

Mathematical exploration and discovery at scale

Bourgain's condition, sticky Kakeya, and new examples

Receipt and verification

First computed	2026-07-05T10:19:41.969914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

613173bd9b6becd3601718170364c5cf3415fe0b99f43eb5685dd199b8b97399

Aliases

arxiv: 2502.17655 · arxiv_version: 2502.17655v1 · doi: 10.48550/arxiv.2502.17655 · pith_short_12: MEYXHPM3NPWN · pith_short_16: MEYXHPM3NPWNGYAX · pith_short_8: MEYXHPM3

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/MEYXHPM3NPWNGYAXDALQGZGFZ4 \
  | 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: 613173bd9b6becd3601718170364c5cf3415fe0b99f43eb5685dd199b8b97399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbcc45c4008e50e888e113d333d0c198d442b02dec54db5fd9bd400a120a4ed2",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-02-24T21:08:02Z",
    "title_canon_sha256": "f39b8b718ea8722eee543afd33c36a5c575b0339a231a8fd2622199055770c02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.17655",
    "kind": "arxiv",
    "version": 1
  }
}