Pith Number

pith:LFXMDLKZ

pith:2025:LFXMDLKZTX72PR2W2ANM44GE4E

not attested not anchored not stored refs pending

Settling the no-$(k+1)$-in-line problem when $k$ is not small

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

arxiv:2502.00176 v1 · 2025-01-31 · 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{LFXMDLKZTX72PR2W2ANM44GE4E}

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 $k \geqslant 3$

The extensible no-$(k(n)+1)$-in-line problem

Receipt and verification

First computed	2026-07-05T10:08:30.264620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

596ec1ad599dffa7c756d01ace70c4e12718faf8182c2c65555324eeca6364ae

Aliases

arxiv: 2502.00176 · arxiv_version: 2502.00176v1 · doi: 10.48550/arxiv.2502.00176 · pith_short_12: LFXMDLKZTX72 · pith_short_16: LFXMDLKZTX72PR2W · pith_short_8: LFXMDLKZ

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/LFXMDLKZTX72PR2W2ANM44GE4E \
  | 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: 596ec1ad599dffa7c756d01ace70c4e12718faf8182c2c65555324eeca6364ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c39b4d4c63c8711792e63a0497683d5a6fb1a8e6212d26647e794c83aa676b0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-31T21:40:16Z",
    "title_canon_sha256": "057ba86284fc5e88b5275edd4e2adc927d4ffd9c9a7ceab17278084e317e0908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.00176",
    "kind": "arxiv",
    "version": 1
  }
}