Pith Number

pith:O2FZKPLU

pith:2025:O2FZKPLUUGPIUL36VMTPNC56DO

not attested not anchored not stored refs pending

A Counterexample to a Conjecture of Lov\'asz

Alexander Clow, Bojan Mohar, Penny Haxell

arxiv:2505.05339 v2 · 2025-05-08 · 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{O2FZKPLUUGPIUL36VMTPNC56DO}

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

1 paper in Pith

Infinitely many counterexamples to a conjecture of Lov\'asz

Receipt and verification

First computed	2026-07-05T11:19:26.835637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

768b953d74a19e8a2f7eab26f68bbe1bb889090694d6a3050f58b2b88163c520

Aliases

arxiv: 2505.05339 · arxiv_version: 2505.05339v2 · doi: 10.48550/arxiv.2505.05339 · pith_short_12: O2FZKPLUUGPI · pith_short_16: O2FZKPLUUGPIUL36 · pith_short_8: O2FZKPLU

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/O2FZKPLUUGPIUL36VMTPNC56DO \
  | 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: 768b953d74a19e8a2f7eab26f68bbe1bb889090694d6a3050f58b2b88163c520

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "778a1f397821565ff3a49558dcd933ed4664c874c778c7f865851dcfa8d67cd2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-08T15:28:47Z",
    "title_canon_sha256": "383b9073695c62cbdf966b97a1421d1b46047d97fd8d7f62bcfa836e75ed78d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.05339",
    "kind": "arxiv",
    "version": 2
  }
}