Pith Number

pith:PAVEIFT7

pith:2009:PAVEIFT7JQTSOTNN6CX6O6GU2S

not attested not anchored not stored refs pending

The Kakeya set and maximal conjectures for algebraic varieties over finite fields

Jordan Ellenberg, Richard Oberlin, Terence Tao

arxiv:0903.1879 v2 · 2009-03-10 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAVEIFT7JQTSOTNN6CX6O6GU2S}

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	2026-05-18T03:02:44.733958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

782a44167f4c27274dadf0afe778d4d4bd83caf0cd14c42fafd4534f2baef5be

Aliases

arxiv: 0903.1879 · arxiv_version: 0903.1879v2 · doi: 10.48550/arxiv.0903.1879 · pith_short_12: PAVEIFT7JQTS · pith_short_16: PAVEIFT7JQTSOTNN · pith_short_8: PAVEIFT7

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/PAVEIFT7JQTSOTNN6CX6O6GU2S \
  | 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: 782a44167f4c27274dadf0afe778d4d4bd83caf0cd14c42fafd4534f2baef5be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "891ade7ff78cb7380f4febb500ab1ce27f45dff9037b807232ff4b95062b7be4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-03-10T22:35:22Z",
    "title_canon_sha256": "f61a773c1214b0358a7251ca49d69936c9ebe76db77cda0212cb77e82ec4c384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1879",
    "kind": "arxiv",
    "version": 2
  }
}