Pith Number

pith:BEXREC5V

pith:2013:BEXREC5VZTQGNGKZ54MD3IFLW5

not attested not anchored not stored refs pending

Connection between the clique number and the Lagrangian of $3$-uniform hypergraphs

Cheng Zhao, Qingsong Tang, Xiangde Zhang, Yuejian Peng

arxiv:1312.7529 v1 · 2013-12-29 · math.CO

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

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	2026-05-18T03:03:43.160832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

092f120bb5cce0669959ef183da0abb7447afa5427cc332c8742092f48e15c32

Aliases

arxiv: 1312.7529 · arxiv_version: 1312.7529v1 · doi: 10.48550/arxiv.1312.7529 · pith_short_12: BEXREC5VZTQG · pith_short_16: BEXREC5VZTQGNGKZ · pith_short_8: BEXREC5V

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/BEXREC5VZTQGNGKZ54MD3IFLW5 \
  | 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: 092f120bb5cce0669959ef183da0abb7447afa5427cc332c8742092f48e15c32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b4e47be3ff177423f30889f39168df9a3fa046ca87cf1af6f86aaa68759e4dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-29T12:29:00Z",
    "title_canon_sha256": "35857de1dde2bd74bfb97a1d3e0048425841e3c94a87f68b4862284a65159b0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7529",
    "kind": "arxiv",
    "version": 1
  }
}