Pith Number

pith:4GXJQ36Z

pith:2025:4GXJQ36Z4HIL6LOPZNJ23ZD2L3

not attested not anchored not stored refs pending

Infinitely many counterexamples to a conjecture of Lov\'asz

Aida Abiad, Christoph Spiegel, Frederik Garbe, Xavier Povill

arxiv:2506.21286 v2 · 2025-06-26 · 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{4GXJQ36Z4HIL6LOPZNJ23ZD2L3}

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	2026-07-05T11:36:56.251346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1ae986fd9e1d0bf2dcfcb53ade47a5ed236673d23f37137be43a2d9b5ab24fb

Aliases

arxiv: 2506.21286 · arxiv_version: 2506.21286v2 · doi: 10.48550/arxiv.2506.21286 · pith_short_12: 4GXJQ36Z4HIL · pith_short_16: 4GXJQ36Z4HIL6LOP · pith_short_8: 4GXJQ36Z

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/4GXJQ36Z4HIL6LOPZNJ23ZD2L3 \
  | 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: e1ae986fd9e1d0bf2dcfcb53ade47a5ed236673d23f37137be43a2d9b5ab24fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86350bceb778400d646af4329078ae8517510ba2ff14f584a3faa8746d59bda0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-26T14:06:41Z",
    "title_canon_sha256": "a3860b949e4649c665738f37b7c286d1545e4ca97ea2033ff9e5c7f50545f7c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21286",
    "kind": "arxiv",
    "version": 2
  }
}