Pith Number

pith:CW5LVPLZ

pith:2026:CW5LVPLZAUZDHOVHQXPD2Y637K

not attested not anchored not stored refs pending

Two problems on booksize and triangular edges in Nosal graphs

Jing Zeng, Lihua You, Xiaoxue Zhang, Xinghui Zhao

arxiv:2607.15071 v1 · 2026-07-16 · 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{CW5LVPLZAUZDHOVHQXPD2Y637K}

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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

On a spectral booksize problem fo non bipartite graphs

Receipt and verification

First computed	2026-07-17T01:22:07.983088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15bababd79053233baa785de3d63dbfabd874a789ae3b79057b8cac7063c394a

Aliases

arxiv: 2607.15071 · arxiv_version: 2607.15071v1 · doi: 10.48550/arxiv.2607.15071 · pith_short_12: CW5LVPLZAUZD · pith_short_16: CW5LVPLZAUZDHOVH · pith_short_8: CW5LVPLZ

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/CW5LVPLZAUZDHOVHQXPD2Y637K \
  | 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: 15bababd79053233baa785de3d63dbfabd874a789ae3b79057b8cac7063c394a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e549f1d793f945340553d75e928677ab80eea6d2505090468bdc05d25aa4ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-16T14:43:37Z",
    "title_canon_sha256": "37ff9667e83f3dd065b848ae0cf0b431d298af7d7addc1afda57031878f32ecf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15071",
    "kind": "arxiv",
    "version": 1
  }
}