Pith Number

pith:VHGRZGOH

pith:2023:VHGRZGOHUTLHCBVQ7WEPY7EJR5

not attested not anchored not stored refs pending

Graphs with large minimum degree and no small odd cycles are $3$-colourable

Domenico Mergoni Cecchelli, Jozef Skokan, Julia B\"ottcher, N\'ora Frankl, Olaf Parczyk

arxiv:2302.01875 v2 · 2023-02-03 · 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{VHGRZGOHUTLHCBVQ7WEPY7EJR5}

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

2 papers in Pith

On the chromatic profile for tripartite graphs and beyond

Receipt and verification

First computed	2026-07-05T05:48:50.345758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9cd1c99c7a4d67106b0fd88fc7c898f6093a2cf168ea031ba47b1f67f26417d

Aliases

arxiv: 2302.01875 · arxiv_version: 2302.01875v2 · doi: 10.48550/arxiv.2302.01875 · pith_short_12: VHGRZGOHUTLH · pith_short_16: VHGRZGOHUTLHCBVQ · pith_short_8: VHGRZGOH

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/VHGRZGOHUTLHCBVQ7WEPY7EJR5 \
  | 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: a9cd1c99c7a4d67106b0fd88fc7c898f6093a2cf168ea031ba47b1f67f26417d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd4279671f47dc8ea38125d6fb70904b04469d6c92e5091e0f80eca87be4974d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-02-03T17:24:54Z",
    "title_canon_sha256": "51ae6d98be6f7dd647d3c5c6d37506d53878ddee4e7d9fbbbcdbc8ac2dee2557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.01875",
    "kind": "arxiv",
    "version": 2
  }
}