Pith Number

pith:2TDW7WJK

pith:2017:2TDW7WJK6DS6JZOZFJJ7LHMP66

not attested not anchored not stored refs pending

On the arithmetic Kakeya conjecture of Katz and Tao

Ben Green, Imre Ruzsa

arxiv:1712.02108 v1 · 2017-12-06 · math.NT · math.CA · 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{2TDW7WJK6DS6JZOZFJJ7LHMP66}

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	2026-05-18T00:28:39.162560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4c76fd92af0e5e4e5d92a53f59d8ff790b314c28383f70e0b58fa14fd44129e

Aliases

arxiv: 1712.02108 · arxiv_version: 1712.02108v1 · doi: 10.48550/arxiv.1712.02108 · pith_short_12: 2TDW7WJK6DS6 · pith_short_16: 2TDW7WJK6DS6JZOZ · pith_short_8: 2TDW7WJK

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/2TDW7WJK6DS6JZOZFJJ7LHMP66 \
  | 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: d4c76fd92af0e5e4e5d92a53f59d8ff790b314c28383f70e0b58fa14fd44129e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4586133fd9e2098b827ed17142b9eb9aa81f2365cfd1ce42bba56e4d024c2afd",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-06T09:55:13Z",
    "title_canon_sha256": "e11b793f6d58f00ba93836475b1d8d35bb30f520e33babeea72a4cd64bec8f65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02108",
    "kind": "arxiv",
    "version": 1
  }
}