Pith Number

pith:B5BPLT2K

pith:2026:B5BPLT2K36TK5PIV7B4ZMME47D

not attested not anchored not stored refs pending

On the maximum number of $k$-holes in point sets with no $(k + 1)$-hole

Andrew Suk, Su Zhou

arxiv:2606.05721 v1 · 2026-06-04 · 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{B5BPLT2K36TK5PIV7B4ZMME47D}

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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

Many holes but no large one: maximizing $k$-holes while forbidding $(k+1)$-holes

Receipt and verification

First computed	2026-06-05T01:15:00.279003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f42f5cf4adfa6aebd15f87996309cf8fa8feff3d7284cd472257d0184bc96fd

Aliases

arxiv: 2606.05721 · arxiv_version: 2606.05721v1 · doi: 10.48550/arxiv.2606.05721 · pith_short_12: B5BPLT2K36TK · pith_short_16: B5BPLT2K36TK5PIV · pith_short_8: B5BPLT2K

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/B5BPLT2K36TK5PIV7B4ZMME47D \
  | 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: 0f42f5cf4adfa6aebd15f87996309cf8fa8feff3d7284cd472257d0184bc96fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bbd6c49d82c75e7409bed936acb6970e18f20cbcec7b0f1c4aafa736edd8bc7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-04T05:25:07Z",
    "title_canon_sha256": "d64b4478d7eac1c51c24eabacc8e5d4f780e5eef1d0e070df6446f4fb6934507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05721",
    "kind": "arxiv",
    "version": 1
  }
}