Pith Number

pith:7TXULB56

pith:2022:7TXULB56LOURCDMZQ5N6R6ZQW5

not attested not anchored not stored refs pending

A Flexible Approach for the Enumeration of Down-Sets and its Application on Dedekind Numbers

Frank a Campo

arxiv:2206.10293 v2 · 2022-06-21 · 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{7TXULB56LOURCDMZQ5N6R6ZQW5}

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

Finite-n Estimate of Dedekind Numbers by Layer-Ratio Monte Carlo

Receipt and verification

First computed	2026-07-05T04:34:55.232163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcef4587be5ba9110d99875be8fb30b77a315d4e965025b70f159d2ef6eeafaa

Aliases

arxiv: 2206.10293 · arxiv_version: 2206.10293v2 · doi: 10.48550/arxiv.2206.10293 · pith_short_12: 7TXULB56LOUR · pith_short_16: 7TXULB56LOURCDMZ · pith_short_8: 7TXULB56

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/7TXULB56LOURCDMZQ5N6R6ZQW5 \
  | 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: fcef4587be5ba9110d99875be8fb30b77a315d4e965025b70f159d2ef6eeafaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ff8aaf91e025adad0a236b4b0e613763fb38af7d592fdfb44718ae4254aedf1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-21T12:17:51Z",
    "title_canon_sha256": "2342571f48c62ce0e2acbae2d48832790127806c73d9c24e23433118fe711958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.10293",
    "kind": "arxiv",
    "version": 2
  }
}