Pith Number

pith:2YAUMRXE

pith:2021:2YAUMRXEXOI5YPQT5EOAD7HR4Q

not attested not anchored not stored refs pending

Solution to a problem of Erd\H{o}s on the chromatic index of hypergraphs with bounded codegree

Abhishek Methuku, Daniela K\"uhn, Deryk Osthus, Dong Yeap Kang, Tom Kelly

arxiv:2110.06181 v2 · 2021-10-12 · 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{2YAUMRXEXOI5YPQT5EOAD7HR4Q}

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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

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

Receipt and verification

First computed	2026-07-05T09:22:35.620712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6014646e4bb91dc3e13e91c01fcf1e42809d0f01f425753b90fda12fad4227a

Aliases

arxiv: 2110.06181 · arxiv_version: 2110.06181v2 · doi: 10.48550/arxiv.2110.06181 · pith_short_12: 2YAUMRXEXOI5 · pith_short_16: 2YAUMRXEXOI5YPQT · pith_short_8: 2YAUMRXE

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/2YAUMRXEXOI5YPQT5EOAD7HR4Q \
  | 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: d6014646e4bb91dc3e13e91c01fcf1e42809d0f01f425753b90fda12fad4227a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c84ccefce1d79b88636d2117d0c3511fc1a46c9d7901893549770c0197be9001",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-10-12T17:27:54Z",
    "title_canon_sha256": "c6d0ebc8fd7c710345f2ec39d5ce7d2cf0c48f8fca77d51dd0abdf260f275e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.06181",
    "kind": "arxiv",
    "version": 2
  }
}