Pith Number

pith:LCKY4S2B

pith:2023:LCKY4S2B5DWI6ERJ2RSVMFZ3EW

not attested not anchored not stored refs pending

On the number of inequivalent monotone Boolean functions of 9 variables

Bart{\l}omiej Pawelski

arxiv:2305.06346 v1 · 2023-05-10 · 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{LCKY4S2B5DWI6ERJ2RSVMFZ3EW}

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.

Cited by

1 paper in Pith

Statistical Estimation of higher Dedekind Numbers

Receipt and verification

First computed	2026-07-05T06:09:02.174867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58958e4b41e8ec8f1229d46556173b25a1cf09d4e497894d3cf1f91069c1893a

Aliases

arxiv: 2305.06346 · arxiv_version: 2305.06346v1 · doi: 10.48550/arxiv.2305.06346 · pith_short_12: LCKY4S2B5DWI · pith_short_16: LCKY4S2B5DWI6ERJ · pith_short_8: LCKY4S2B

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/LCKY4S2B5DWI6ERJ2RSVMFZ3EW \
  | 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: 58958e4b41e8ec8f1229d46556173b25a1cf09d4e497894d3cf1f91069c1893a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd917921c635a95ea2c0513e9db8ead7633b092f0bae9c1ebf91eb32b1d372f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-10T17:53:34Z",
    "title_canon_sha256": "a3069b6a2afeddaf45ae8bbb30caddb8e177f7838b654699c073bd2d393e0cfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.06346",
    "kind": "arxiv",
    "version": 1
  }
}