Pith Number

pith:B56BPLM3

pith:2026:B56BPLM3LXD5FB57CZP6OO3UDE

not attested not anchored not stored refs pending

An Improved Lower Bound for the Erd\H{o}s-Lov\'asz Cover Number Problem

Varun Sivashankar

arxiv:2606.24878 v1 · 2026-06-23 · 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{B56BPLM3LXD5FB57CZP6OO3UDE}

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	2026-06-24T01:15:45.199557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f7c17ad9b5dc7d287bf165fe73b741919ee3d7dc1c8c3c1061ca0bcf4e7abca

Aliases

arxiv: 2606.24878 · arxiv_version: 2606.24878v1 · doi: 10.48550/arxiv.2606.24878 · pith_short_12: B56BPLM3LXD5 · pith_short_16: B56BPLM3LXD5FB57 · pith_short_8: B56BPLM3

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/B56BPLM3LXD5FB57CZP6OO3UDE \
  | 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: 0f7c17ad9b5dc7d287bf165fe73b741919ee3d7dc1c8c3c1061ca0bcf4e7abca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a58f15cb7110076d5d3361fee665220329a242563a192202825905329e3340e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-23T17:55:10Z",
    "title_canon_sha256": "54e1dc10720b089359f6b95256c83cf134e237e9248e3c6cd7dfd431071d7d5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24878",
    "kind": "arxiv",
    "version": 1
  }
}