Pith Number

pith:WYMKEU4D

pith:2026:WYMKEU4DBQZT5BH72SJDSUZWK6

not attested not anchored not stored refs pending

A construction of Kakeya Sets in Arbitrary Dimension

Mikael de la Salle, Rafael J. Fern\'andez-Delgado

arxiv:2607.14824 v1 · 2026-07-16 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYMKEU4DBQZT5BH72SJDSUZWK6}

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

A Study on Kakeya Needle Problem for $(n-1)$-Rectifiable Sets

Receipt and verification

First computed	2026-07-17T01:21:33.059728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b618a253830c333e84ffd492395336578048ef91b63ff49ffd8533a8409f099d

Aliases

arxiv: 2607.14824 · arxiv_version: 2607.14824v1 · doi: 10.48550/arxiv.2607.14824 · pith_short_12: WYMKEU4DBQZT · pith_short_16: WYMKEU4DBQZT5BH7 · pith_short_8: WYMKEU4D

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/WYMKEU4DBQZT5BH72SJDSUZWK6 \
  | 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: b618a253830c333e84ffd492395336578048ef91b63ff49ffd8533a8409f099d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5179c6e235018ecfde52e98a03ac9d4d0da9573620541549ab577e87477735c1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-16T10:40:18Z",
    "title_canon_sha256": "50666c87aaa3b2befcdca654da7b3aa406a5f1a2218e489e311dcd52e863cd94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14824",
    "kind": "arxiv",
    "version": 1
  }
}