Pith Number

pith:S677YVW7

pith:2022:S677YVW7MHOKQ3SW33HPTIVA3Q

not attested not anchored not stored refs pending

A Product Version of the Hilton-Milner-Frankl Theorem

Jian Wang, Peter Frankl

arxiv:2206.07217 v2 · 2022-06-15 · 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{S677YVW7MHOKQ3SW33HPTIVA3Q}

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	2026-07-05T05:16:00.760422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97bffc56df61dca86e56decef9a2a0dc3d28f9e363f4ba5a98e0f46839d58f6b

Aliases

arxiv: 2206.07217 · arxiv_version: 2206.07217v2 · doi: 10.48550/arxiv.2206.07217 · pith_short_12: S677YVW7MHOK · pith_short_16: S677YVW7MHOKQ3SW · pith_short_8: S677YVW7

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/S677YVW7MHOKQ3SW33HPTIVA3Q \
  | 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: 97bffc56df61dca86e56decef9a2a0dc3d28f9e363f4ba5a98e0f46839d58f6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04797b3a124184f23670a49ec2d7633b81f75876a1b1f38e5444a8cc71842de8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-15T00:13:43Z",
    "title_canon_sha256": "5f9878dd9cf5e39acbe465471971da41651afa2e17a841eeccfee67a9e0027e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.07217",
    "kind": "arxiv",
    "version": 2
  }
}