Pith Number

pith:U6QHN6NG

pith:2015:U6QHN6NGAQYJ2BOGF2WMJ6GV26

not attested not anchored not stored refs pending

A finite version of the Kakeya problem

Aart Blokhuis, Diego Domenzain, Simeon Ball

arxiv:1503.06639 v4 · 2015-03-23 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6QHN6NGAQYJ2BOGF2WMJ6GV26}

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	2026-05-18T01:15:53.048093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7a076f9a604309d05c62eacc4f8d5d78b7689e8a7006501f88716a9bcd29f62

Aliases

arxiv: 1503.06639 · arxiv_version: 1503.06639v4 · doi: 10.48550/arxiv.1503.06639 · pith_short_12: U6QHN6NGAQYJ · pith_short_16: U6QHN6NGAQYJ2BOG · pith_short_8: U6QHN6NG

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/U6QHN6NGAQYJ2BOGF2WMJ6GV26 \
  | 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: a7a076f9a604309d05c62eacc4f8d5d78b7689e8a7006501f88716a9bcd29f62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "920c8a3caf2af24f77c22718945c43b1d356a66eb93aa50b782e3b1ee61f7d3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-23T14:04:41Z",
    "title_canon_sha256": "12523de870abbd009e64f4b1ca4b9274e0f904de2c5df2758c0f132602da0667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06639",
    "kind": "arxiv",
    "version": 4
  }
}