Pith Number

pith:SAODCCL3

pith:2024:SAODCCL3UTJZ3M52CVUYTUAL6Y

not attested not anchored not stored refs pending

Complete tripartite subgraphs of balanced tripartite graphs with large minimum degree

Allan Lo, Cong Luo, Jialin He, Jie Ma, Yihan Chen, Yi Zhao

arxiv:2411.19773 v2 · 2024-11-29 · 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{SAODCCL3UTJZ3M52CVUYTUAL6Y}

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	2026-07-05T11:25:05.932666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

901c31097ba4d39db3ba156989d00bf63a459498f4d338aebae54c5d6eed3e61

Aliases

arxiv: 2411.19773 · arxiv_version: 2411.19773v2 · doi: 10.48550/arxiv.2411.19773 · pith_short_12: SAODCCL3UTJZ · pith_short_16: SAODCCL3UTJZ3M52 · pith_short_8: SAODCCL3

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/SAODCCL3UTJZ3M52CVUYTUAL6Y \
  | 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: 901c31097ba4d39db3ba156989d00bf63a459498f4d338aebae54c5d6eed3e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62604d9504f0ee6c8df6b649e98182975d8dec20ed4192f9c571373e294c1641",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-29T15:18:09Z",
    "title_canon_sha256": "880e6227489e29cfad12fbcaeaee58c67bc21eb1575fc12de809d4a8c50f02b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19773",
    "kind": "arxiv",
    "version": 2
  }
}