Pith Number

pith:UNA7PRDY

pith:2026:UNA7PRDYP3QY5JDUGYLPYCYAVF

not attested not anchored not stored refs pending

Graphs with girth 8 and without longer even holes are 3-colorable

Rong Wu, Yan Wang

arxiv:2605.27943 v1 · 2026-05-27 · 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{UNA7PRDYP3QY5JDUGYLPYCYAVF}

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	2026-05-28T01:04:53.451432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a341f7c4787ee18ea4743616fc0b00a95b2592fc003dde5e2ac495616890fd0b

Aliases

arxiv: 2605.27943 · arxiv_version: 2605.27943v1 · doi: 10.48550/arxiv.2605.27943 · pith_short_12: UNA7PRDYP3QY · pith_short_16: UNA7PRDYP3QY5JDU · pith_short_8: UNA7PRDY

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/UNA7PRDYP3QY5JDUGYLPYCYAVF \
  | 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: a341f7c4787ee18ea4743616fc0b00a95b2592fc003dde5e2ac495616890fd0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f564e7130cbf6b3e113bbb334d58c0359758bb293896ccf44ed7933c62a94de",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-27T04:30:32Z",
    "title_canon_sha256": "cc28ebeb230ba0e329a3552446f04ed022d2e6cf231a155466735295a71a1c07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27943",
    "kind": "arxiv",
    "version": 1
  }
}