Pith Number

pith:NGT32EV7

pith:2019:NGT32EV7P5YWVG7UFH55JBUZ3N

not attested not anchored not stored refs pending

Improved bounds for the Kakeya maximal conjecture in higher dimensions

Jonathan Hickman, Keith M. Rogers, Ruixiang Zhang

arxiv:1908.05589 v1 · 2019-08-14 · 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{NGT32EV7P5YWVG7UFH55JBUZ3N}

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	2026-07-04T23:56:54.048370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69a7bd12bf7f716a9bf429fbd48699db4db2981a18d7e9fa1a1d6767574537a2

Aliases

arxiv: 1908.05589 · arxiv_version: 1908.05589v1 · doi: 10.48550/arxiv.1908.05589 · pith_short_12: NGT32EV7P5YW · pith_short_16: NGT32EV7P5YWVG7U · pith_short_8: NGT32EV7

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/NGT32EV7P5YWVG7UFH55JBUZ3N \
  | 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: 69a7bd12bf7f716a9bf429fbd48699db4db2981a18d7e9fa1a1d6767574537a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd77a356ee666cb2938421dbdeb697aecd7e294bc03a259d8c94c89ea88440ef",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-14T10:39:56Z",
    "title_canon_sha256": "a457431a263ff89d27c31827cfcfa13c1a99af780790be13e25c6e13a953f56c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05589",
    "kind": "arxiv",
    "version": 1
  }
}