Pith Number

pith:QQ5Y23PT

pith:2024:QQ5Y23PTJGA7RSE5DOUUHRMP62

not attested not anchored not stored refs pending

A short proof of the Hilton-Milner Theorem

Denys Bulavka, Russ Woodroofe

arxiv:2411.02513 v4 · 2024-11-04 · 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{QQ5Y23PTJGA7RSE5DOUUHRMP62}

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	2026-06-19T16:10:52.925645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843b8d6df34981f8c89d1ba943c58ff684c60209838a046f8c8634ada72bedcd

Aliases

arxiv: 2411.02513 · arxiv_version: 2411.02513v4 · doi: 10.48550/arxiv.2411.02513 · pith_short_12: QQ5Y23PTJGA7 · pith_short_16: QQ5Y23PTJGA7RSE5 · pith_short_8: QQ5Y23PT

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/QQ5Y23PTJGA7RSE5DOUUHRMP62 \
  | 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: 843b8d6df34981f8c89d1ba943c58ff684c60209838a046f8c8634ada72bedcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1085a0b4ddf4d8cab4f082d643e440acf42d7014ba1103f9248f8851dfdd2b6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-04T19:00:19Z",
    "title_canon_sha256": "0386e701463318908f2711be03e08020b1976628d496ae42d3cd538a9386e7ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.02513",
    "kind": "arxiv",
    "version": 4
  }
}