Pith Number

pith:7MWRZHBL

pith:2008:7MWRZHBLFENMYFXQNQ6VZEK56H

not attested not anchored not stored refs pending

On the size of Kakeya sets in finite fields

Zeev Dvir

arxiv:0803.2336 v3 · 2008-03-16 · math.CO · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MWRZHBLFENMYFXQNQ6VZEK56H}

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	2026-05-18T02:16:00.200188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb2d1c9c2b291acc16f06c3d5c915df1f181a2ae3001b636f4a5bb2d26ab0e4b

Aliases

arxiv: 0803.2336 · arxiv_version: 0803.2336v3 · doi: 10.48550/arxiv.0803.2336 · pith_short_12: 7MWRZHBLFENM · pith_short_16: 7MWRZHBLFENMYFXQ · pith_short_8: 7MWRZHBL

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/7MWRZHBLFENMYFXQNQ6VZEK56H \
  | 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: fb2d1c9c2b291acc16f06c3d5c915df1f181a2ae3001b636f4a5bb2d26ab0e4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fe8c82342c9895c6f91cf81a3c3ca3996e15cb95921286e0c0877493401058a",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-03-16T16:31:49Z",
    "title_canon_sha256": "426a786764e09714b4d69b67110d02ffe4af5f2d67a1fe2b0a922af148a3f26d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.2336",
    "kind": "arxiv",
    "version": 3
  }
}