Pith Number

pith:24GVFPQ2

pith:2018:24GVFPQ2V2STU5XXYHYUZDTVKO

not attested not anchored not stored refs pending

The Kakeya problem for circular arcs

Korn\'elia H\'era, Mikl\'os Laczkovich

arxiv:1802.00290 v1 · 2018-02-01 · math.MG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24GVFPQ2V2STU5XXYHYUZDTVKO}

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	2026-05-18T00:24:36.334193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d70d52be1aaea53a76f7c1f14c8e7553ace2c8045531604182a1e284f936ebff

Aliases

arxiv: 1802.00290 · arxiv_version: 1802.00290v1 · doi: 10.48550/arxiv.1802.00290 · pith_short_12: 24GVFPQ2V2ST · pith_short_16: 24GVFPQ2V2STU5XX · pith_short_8: 24GVFPQ2

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/24GVFPQ2V2STU5XXYHYUZDTVKO \
  | 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: d70d52be1aaea53a76f7c1f14c8e7553ace2c8045531604182a1e284f936ebff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c382c6c36291bd0ebc39c6c841ad9b80949c558afb240b5581841d8fa3744072",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-02-01T14:02:09Z",
    "title_canon_sha256": "0ffeaa452fbff00ae85afcc4e8ac9bb8a1535e1299be0bab9a4eb60aa346973f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00290",
    "kind": "arxiv",
    "version": 1
  }
}