Pith Number

pith:YR5U6UCT

pith:2012:YR5U6UCT7CC5L4PADR77VXVE5Y

not attested not anchored not stored refs pending

On Cliques and Lagrangians of 3-uniform Hypergraphs

Cheng Zhao, Hegui Zhu, Yanling Zheng, Yuejian Peng

arxiv:1211.6508 v3 · 2012-11-28 · 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{YR5U6UCT7CC5L4PADR77VXVE5Y}

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	2026-05-18T02:55:04.349103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c47b4f5053f885d5f1e01c7ffadea4ee2a98fad1a44101fedab60140b372ddf9

Aliases

arxiv: 1211.6508 · arxiv_version: 1211.6508v3 · doi: 10.48550/arxiv.1211.6508 · pith_short_12: YR5U6UCT7CC5 · pith_short_16: YR5U6UCT7CC5L4PA · pith_short_8: YR5U6UCT

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/YR5U6UCT7CC5L4PADR77VXVE5Y \
  | 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: c47b4f5053f885d5f1e01c7ffadea4ee2a98fad1a44101fedab60140b372ddf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54d3f0ebfc10c436d41059600521fdda74e078d424676c6f64a9fed81196f272",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-28T03:22:33Z",
    "title_canon_sha256": "09936bc1dbc78597c2b8fc7f5ed8414b4fe198053168e7a28cdbb9132da8afa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6508",
    "kind": "arxiv",
    "version": 3
  }
}