Pith Number

pith:UZR2KDKV

pith:2017:UZR2KDKVWPZ5UTZ25OO2AXKT2U

not attested not anchored not stored refs pending

Dimension estimates for Kakeya sets defined in an axiomatic setting

Laura Venieri

arxiv:1703.03635 v1 · 2017-03-10 · 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{UZR2KDKVWPZ5UTZ25OO2AXKT2U}

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	2026-05-18T00:48:58.465398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a663a50d55b3f3da4f3aeb9da05d53d52cb7ab9d6702f32ad27ae1b9a958a0c4

Aliases

arxiv: 1703.03635 · arxiv_version: 1703.03635v1 · doi: 10.48550/arxiv.1703.03635 · pith_short_12: UZR2KDKVWPZ5 · pith_short_16: UZR2KDKVWPZ5UTZ2 · pith_short_8: UZR2KDKV

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/UZR2KDKVWPZ5UTZ25OO2AXKT2U \
  | 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: a663a50d55b3f3da4f3aeb9da05d53d52cb7ab9d6702f32ad27ae1b9a958a0c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ffb7e98e5ece54df39304fdd4d2414e5c344517d90d511c977bf1551e30d484",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-10T11:35:41Z",
    "title_canon_sha256": "6814bb76472953dd958190f826774723426b630c8878d8221d9f36f0418f6b84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03635",
    "kind": "arxiv",
    "version": 1
  }
}