Pith Number

pith:ZXZSPG2Z

pith:2026:ZXZSPG2ZNN2ND3LKHMKIJFTZAM

not attested not anchored not stored refs pending

Characterization and chromatic number of triangle-free graphs with diameter 2

Akihiro Higashitani, Diogo Kendy Matsumoto, Naoki Matsumoto

arxiv:2606.03267 v1 · 2026-06-02 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXZSPG2ZNN2ND3LKHMKIJFTZAM}

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	2026-06-03T01:05:37.386987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdf3279b596b74d1ed6a3b148496790326c3f2a8f64a88eed9cefd3b458a9f4d

Aliases

arxiv: 2606.03267 · arxiv_version: 2606.03267v1 · doi: 10.48550/arxiv.2606.03267 · pith_short_12: ZXZSPG2ZNN2N · pith_short_16: ZXZSPG2ZNN2ND3LK · pith_short_8: ZXZSPG2Z

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/ZXZSPG2ZNN2ND3LKHMKIJFTZAM \
  | 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: cdf3279b596b74d1ed6a3b148496790326c3f2a8f64a88eed9cefd3b458a9f4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e90080ef4a1b40eed51b00319ed2672fc4bd336070d3a20629d878b5a6e9d0f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-02T07:33:09Z",
    "title_canon_sha256": "bf8593b32eaf40d92aea3296547609cf21069ddc3ed9e823211201eb6aa11b16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03267",
    "kind": "arxiv",
    "version": 1
  }
}