Pith Number

pith:5HEQS23L

pith:2025:5HEQS23LLVGWLB6RFSPCYGUE5W

not attested not anchored not stored refs pending

Randomised algebraic constructions for the no-$(k+1)$-in-line problem

Benedek Kov\'acs, D\'avid R. Szab\'o, Zolt\'an L\'or\'ant Nagy

arxiv:2508.07632 v1 · 2025-08-11 · 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{5HEQS23LLVGWLB6RFSPCYGUE5W}

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

3 papers in Pith

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

Geometry-Aware MCTS for Extremal Problems in Combinatorial Geometry

No-three-in-line sets on the checkerboard grid

Receipt and verification

First computed	2026-07-05T11:51:49.490990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c9096b6b5d4d6587d12c9e2c1a84eda3f4b70a8d67e051865c6dfaa6f1cfa0

Aliases

arxiv: 2508.07632 · arxiv_version: 2508.07632v1 · doi: 10.48550/arxiv.2508.07632 · pith_short_12: 5HEQS23LLVGW · pith_short_16: 5HEQS23LLVGWLB6R · pith_short_8: 5HEQS23L

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/5HEQS23LLVGWLB6RFSPCYGUE5W \
  | 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: e9c9096b6b5d4d6587d12c9e2c1a84eda3f4b70a8d67e051865c6dfaa6f1cfa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1ddd774b2715edd3a1f7c543067619bb998aca07fb9d2fbd206fe8317067693",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-11T05:25:37Z",
    "title_canon_sha256": "eb1c172ef3dc68041a7782f660f9ff85264f608674d16b5efd7c2350d88f4337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07632",
    "kind": "arxiv",
    "version": 1
  }
}