Pith Number

pith:4NU327MU

pith:2025:4NU327MUSDSZWJJ3XSBIU6XSNQ

not attested not anchored not stored refs pending

Large grid subsets without many cospherical points

Zichao Dong, Zijian Xu

arxiv:2506.18113 v1 · 2025-06-22 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NU327MUSDSZWJJ3XSBIU6XSNQ}

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.

Cited by

2 papers in Pith

No-$(k+1)$-in-line problem for $k \geqslant 3$

Geometry-Aware MCTS for Extremal Problems in Combinatorial Geometry

Receipt and verification

First computed	2026-07-05T11:25:28.814388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e369bd7d9490e59b253bbc828a7af26c0d083277628204117e8d5f6711e08999

Aliases

arxiv: 2506.18113 · arxiv_version: 2506.18113v1 · doi: 10.48550/arxiv.2506.18113 · pith_short_12: 4NU327MUSDSZ · pith_short_16: 4NU327MUSDSZWJJ3 · pith_short_8: 4NU327MU

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/4NU327MUSDSZWJJ3XSBIU6XSNQ \
  | 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: e369bd7d9490e59b253bbc828a7af26c0d083277628204117e8d5f6711e08999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf298f04f16788a592449d7a731c3d4927b2e05a04e2f9a343640aceb33d081f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-22T17:52:05Z",
    "title_canon_sha256": "d2fbd26bbf37e50d5a9cf5554bc643481557b2a3364e912760aecae80cdecd18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18113",
    "kind": "arxiv",
    "version": 1
  }
}