Pith Number

pith:3N53LPRE

pith:2026:3N53LPREXYMYMZEXOIA462JGLQ

not attested not anchored not stored refs pending

Fourier analytic variants of the Furstenberg and Kakeya problems

Jonathan M. Fraser, Lijian Yang

arxiv:2605.21668 v1 · 2026-05-20 · 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{3N53LPREXYMYMZEXOIA462JGLQ}

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.

Receipt and verification

First computed	2026-05-22T01:03:27.371800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db7bb5be24be198664977201cf69265c05cc85017897282c3e2ac0908e6a0bb6

Aliases

arxiv: 2605.21668 · arxiv_version: 2605.21668v1 · doi: 10.48550/arxiv.2605.21668 · pith_short_12: 3N53LPREXYMY · pith_short_16: 3N53LPREXYMYMZEX · pith_short_8: 3N53LPRE

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/3N53LPREXYMYMZEXOIA462JGLQ \
  | 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: db7bb5be24be198664977201cf69265c05cc85017897282c3e2ac0908e6a0bb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a585e9b87be85043f1086ca6f0fca6555d2e1b46e2ac0699ad4a0e2332dedc9b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-05-20T19:22:21Z",
    "title_canon_sha256": "3deab1e9222dab4f678ed370760ed6302a186e9df238f59290fbcf8bb5a33946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21668",
    "kind": "arxiv",
    "version": 1
  }
}