Pith Number

pith:ZNQKCAOL

pith:2019:ZNQKCAOLWKU5X3WGCUZNLCY5JL

not attested not anchored not stored refs pending

New Kakeya estimates using the polynomial Wolff axioms

Jonathan Hickman, Keith M Rogers

arxiv:1901.01802 v1 · 2019-01-07 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNQKCAOLWKU5X3WGCUZNLCY5JL}

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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.

Cited by

1 paper in Pith

New Kakeya estimates using Gromov's algebraic lemma

Receipt and verification

First computed	2026-05-17T23:56:51.218214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb60a101cbb2a9dbeec61532d58b1d4ac5d77cff531d999ac4958084aa4acaad

Aliases

arxiv: 1901.01802 · arxiv_version: 1901.01802v1 · doi: 10.48550/arxiv.1901.01802 · pith_short_12: ZNQKCAOLWKU5 · pith_short_16: ZNQKCAOLWKU5X3WG · pith_short_8: ZNQKCAOL

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/ZNQKCAOLWKU5X3WGCUZNLCY5JL \
  | 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: cb60a101cbb2a9dbeec61532d58b1d4ac5d77cff531d999ac4958084aa4acaad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8711db84e97802e70372ed568bcff61ffef7862b1532999f7710a1a6e253c9b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-07T13:45:44Z",
    "title_canon_sha256": "e06cc7f836828fed85f368e73b0ec3c81fef74f823b44672a4de080e6ff13981"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01802",
    "kind": "arxiv",
    "version": 1
  }
}