Pith Number

pith:HI6FOBJ6

pith:2011:HI6FOBJ6DSAWSNQBE6MLRIKUFO

not attested not anchored not stored refs pending

An Analogue of Hilton-Milner Theorem for Set Partitions

Cheng Yeaw Ku, Kok Bin Wong

arxiv:1109.0417 v1 · 2011-09-02 · 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{HI6FOBJ6DSAWSNQBE6MLRIKUFO}

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	2026-05-18T04:14:15.742139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a3c57053e1c816936012798b8a1542b8bca8900258061dae49f488859585952

Aliases

arxiv: 1109.0417 · arxiv_version: 1109.0417v1 · doi: 10.48550/arxiv.1109.0417 · pith_short_12: HI6FOBJ6DSAW · pith_short_16: HI6FOBJ6DSAWSNQB · pith_short_8: HI6FOBJ6

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/HI6FOBJ6DSAWSNQBE6MLRIKUFO \
  | 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: 3a3c57053e1c816936012798b8a1542b8bca8900258061dae49f488859585952

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6620b8679c9e9d82ada285b7075c8a2ed4648f1b66ee15f4f4bb464777a6b6ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-02T11:59:25Z",
    "title_canon_sha256": "ada53f6764833bb506db1942b58dd83ffeb18c474ac26cefb77e7ddafca0cb11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0417",
    "kind": "arxiv",
    "version": 1
  }
}