Pith Number

pith:3FTPCTVL

pith:2025:3FTPCTVLECWEVXQOEYFIB66BRA

not attested not anchored not stored refs pending

Introduction to the proof of the Kakeya conjecture

Larry Guth

arxiv:2505.07695 v1 · 2025-05-12 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FTPCTVLECWEVXQOEYFIB66BRA}

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

Bourgain's condition, sticky Kakeya, and new examples

Receipt and verification

First computed	2026-07-05T11:01:51.891447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d966f14eab20ac4ade0e260a80fbc188260f0792c56729892a379ef67dc75576

Aliases

arxiv: 2505.07695 · arxiv_version: 2505.07695v1 · doi: 10.48550/arxiv.2505.07695 · pith_short_12: 3FTPCTVLECWE · pith_short_16: 3FTPCTVLECWEVXQO · pith_short_8: 3FTPCTVL

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/3FTPCTVLECWEVXQOEYFIB66BRA \
  | 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: d966f14eab20ac4ade0e260a80fbc188260f0792c56729892a379ef67dc75576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba0384c6b3e9ffb562eabc3d22b61d920de7d92c8dd4d048464893b59b7455ac",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-05-12T16:03:41Z",
    "title_canon_sha256": "cbf726a24276fdf57129b7cf4aa99498968c67ebd3c39f04ae8adbec9ec19445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07695",
    "kind": "arxiv",
    "version": 1
  }
}