Pith Number

pith:UOJWHCOG

pith:2011:UOJWHCOGOPVRRDKW7K3BRK67VY

not attested not anchored not stored refs pending

The smallest 3-uniform bi-hypergraphs which are one-realization of a given set

Kaishun Wang, Kefeng Diao, Ping Zhao

arxiv:1111.1368 v1 · 2011-11-06 · 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{UOJWHCOGOPVRRDKW7K3BRK67VY}

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	2026-05-18T04:09:26.369720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3936389c673eb188d56fab618abdfae1d31755d3e5e6f6deedf4b33347510d1

Aliases

arxiv: 1111.1368 · arxiv_version: 1111.1368v1 · doi: 10.48550/arxiv.1111.1368 · pith_short_12: UOJWHCOGOPVR · pith_short_16: UOJWHCOGOPVRRDKW · pith_short_8: UOJWHCOG

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/UOJWHCOGOPVRRDKW7K3BRK67VY \
  | 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: a3936389c673eb188d56fab618abdfae1d31755d3e5e6f6deedf4b33347510d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a30bf3331e56739aa85285b48b8b63da88ee7f684421c58e4b397c3b224d4c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-06T02:39:43Z",
    "title_canon_sha256": "37ce49bf6a38ce00d24e5ac4a05043aa21668dad4995e2aa18486d42be784b05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1368",
    "kind": "arxiv",
    "version": 1
  }
}