Pith Number

pith:4MUSKOYX

pith:2026:4MUSKOYXQCS2NYWZWOICOSB675

not attested not anchored not stored refs pending

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

Benedek N\'ador, D\'avid Melj\'an, M\'at\'e J\'anosik, Tam\'as G\'abriel

arxiv:2606.02843 v1 · 2026-06-01 · 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{4MUSKOYXQCS2NYWZWOICOSB675}

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	2026-06-03T01:05:24.408589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e329253b1780a5a6e2d9b39027483eff694de078fad3a0c8d26ba7b7a81b10ae

Aliases

arxiv: 2606.02843 · arxiv_version: 2606.02843v1 · doi: 10.48550/arxiv.2606.02843 · pith_short_12: 4MUSKOYXQCS2 · pith_short_16: 4MUSKOYXQCS2NYWZ · pith_short_8: 4MUSKOYX

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/4MUSKOYXQCS2NYWZWOICOSB675 \
  | 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: e329253b1780a5a6e2d9b39027483eff694de078fad3a0c8d26ba7b7a81b10ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bde8f15f8cd1fbb3c80c9e863dc880ecf5ee6e39e15f5cc39ecb0e1e43c8c01e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-01T20:07:01Z",
    "title_canon_sha256": "2462ab6bedf8c3476c4b62773d87688ce60bf7b143eac0542ad50f11c5bbfeac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02843",
    "kind": "arxiv",
    "version": 1
  }
}