Pith Number

pith:XFRT6IBS

pith:2013:XFRT6IBSMBWKUOVACQ32MTIYDA

not attested not anchored not stored refs pending

On the size of Kakeya sets in finite vector spaces

Gohar Kyureghyan, Peter M\"uller, Qi Wang

arxiv:1302.5591 v1 · 2013-02-22 · 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{XFRT6IBSMBWKUOVACQ32MTIYDA}

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	2026-05-18T03:32:46.322103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9633f2032606caa3aa01437a64d18183e8f7199e66d8ab5ee269c64bf83ce0b

Aliases

arxiv: 1302.5591 · arxiv_version: 1302.5591v1 · doi: 10.48550/arxiv.1302.5591 · pith_short_12: XFRT6IBSMBWK · pith_short_16: XFRT6IBSMBWKUOVA · pith_short_8: XFRT6IBS

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/XFRT6IBSMBWKUOVACQ32MTIYDA \
  | 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: b9633f2032606caa3aa01437a64d18183e8f7199e66d8ab5ee269c64bf83ce0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "116b357b2b255dbf3e7f552a8dc176e57aab379a2e903c97359295f3c4e7eb95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-22T13:50:35Z",
    "title_canon_sha256": "526024d64462b0374314c84bdf3d8c90c31ae44b6b97709a94d83235a3ed6057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5591",
    "kind": "arxiv",
    "version": 1
  }
}