Pith Number

pith:2XRCUZV5

pith:2023:2XRCUZV5Z7LRFGHVVZUOGA2W5S

not attested not anchored not stored refs pending

Edge-coloring a graph $G$ so that every copy of a graph $H$ has an odd color class

Emily Heath, Patrick Bennett, Shira Zerbib

arxiv:2307.01314 v3 · 2023-07-03 · 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{2XRCUZV5Z7LRFGHVVZUOGA2W5S}

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

New results on the odd- and unique-Ramsey numbers

Receipt and verification

First computed	2026-07-05T06:43:03.708659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5e22a66bdcfd71298f5ae68e30356ecb55f843f9733b39e14b1371b19d415d0

Aliases

arxiv: 2307.01314 · arxiv_version: 2307.01314v3 · doi: 10.48550/arxiv.2307.01314 · pith_short_12: 2XRCUZV5Z7LR · pith_short_16: 2XRCUZV5Z7LRFGHV · pith_short_8: 2XRCUZV5

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/2XRCUZV5Z7LRFGHVVZUOGA2W5S \
  | 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: d5e22a66bdcfd71298f5ae68e30356ecb55f843f9733b39e14b1371b19d415d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e541a9f5ac4b9b1986cc1dcb39c59873da3a6956c3e978d4c031d1a75742ec6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-03T19:40:31Z",
    "title_canon_sha256": "b9cb3dfde5c709a0df61a9c6cf92692ca3bfb7560b514d1cc72efe95b1c34cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.01314",
    "kind": "arxiv",
    "version": 3
  }
}