Pith Number

pith:WCE4U6VH

pith:2017:WCE4U6VHRZ4NT3Q3T76O7O7MS2

not attested not anchored not stored refs pending

A degree version of the Hilton--Milner theorem

Hao Huang, Jie Han, Peter Frankl, Yi Zhao

arxiv:1703.03896 v2 · 2017-03-11 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCE4U6VHRZ4NT3Q3T76O7O7MS2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:43:35.118354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b089ca7aa78e78d9ee1b9ffcefbbec96bf0bc040360655197ceb8a00951cfdf9

Aliases

arxiv: 1703.03896 · arxiv_version: 1703.03896v2 · doi: 10.48550/arxiv.1703.03896 · pith_short_12: WCE4U6VHRZ4N · pith_short_16: WCE4U6VHRZ4NT3Q3 · pith_short_8: WCE4U6VH

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/WCE4U6VHRZ4NT3Q3T76O7O7MS2 \
  | 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: b089ca7aa78e78d9ee1b9ffcefbbec96bf0bc040360655197ceb8a00951cfdf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a731b8acbafbeb2d16160da4b0ea3df7779ae4c74eab20c244b87cf62e2e703",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-11T02:39:58Z",
    "title_canon_sha256": "297652c6dff3cf8544eca916151ecf38da34a9a2616b729b0717a7fc039de29b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03896",
    "kind": "arxiv",
    "version": 2
  }
}