Pith Number

pith:YAHT2UNH

pith:2026:YAHT2UNHEKYAW22VX35NE35RYS

not attested not anchored not stored refs pending

All minimum $C_4$-saturated multipartite graphs

Mei Lu, Yanzhe Qiu, Yiduo Xu, Zhen He

arxiv:2606.28903 v1 · 2026-06-27 · 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{YAHT2UNHEKYAW22VX35NE35RYS}

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	2026-06-30T01:17:44.460587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c00f3d51a722b00b6b55befad26fb1c4aa94f07ed26d12fc8e461b4b406e3e8e

Aliases

arxiv: 2606.28903 · arxiv_version: 2606.28903v1 · doi: 10.48550/arxiv.2606.28903 · pith_short_12: YAHT2UNHEKYA · pith_short_16: YAHT2UNHEKYAW22V · pith_short_8: YAHT2UNH

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/YAHT2UNHEKYAW22VX35NE35RYS \
  | 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: c00f3d51a722b00b6b55befad26fb1c4aa94f07ed26d12fc8e461b4b406e3e8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e31b72155c7cf1ebd59307494978fb9eab98bcdd74e20079bc118b7fd8d1d79d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-27T13:18:08Z",
    "title_canon_sha256": "1107ffa2759e09fcbd3d7cb744561edcde7dbc981117bc5be76f10d804f4ccf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28903",
    "kind": "arxiv",
    "version": 1
  }
}