Pith Number

pith:3EJV23U2

pith:2015:3EJV23U2CHULTB7HXVYQFJK2OG

not attested not anchored not stored refs pending

Kakeya-Type Sets in Local Fields with Finite Residue Field

Robert Fraser

arxiv:1503.07574 v1 · 2015-03-25 · 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{3EJV23U2CHULTB7HXVYQFJK2OG}

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	2026-05-18T01:20:11.948374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9135d6e9a11e8b987e7bd7102a55a719d23f818a9ad2c3d551a4d8c1063e540

Aliases

arxiv: 1503.07574 · arxiv_version: 1503.07574v1 · doi: 10.48550/arxiv.1503.07574 · pith_short_12: 3EJV23U2CHUL · pith_short_16: 3EJV23U2CHULTB7H · pith_short_8: 3EJV23U2

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/3EJV23U2CHULTB7HXVYQFJK2OG \
  | 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: d9135d6e9a11e8b987e7bd7102a55a719d23f818a9ad2c3d551a4d8c1063e540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09ab405eb0ab0e718139c9bdb3762d0613ffbc75a210b9f653a8ac62e5ddf283",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-25T23:05:39Z",
    "title_canon_sha256": "a21c63571494e9f987625462cd5b5869a55379d6f7b9a5f4027dd315efb2c29c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07574",
    "kind": "arxiv",
    "version": 1
  }
}