Pith Number

pith:M7RWR5NZ

pith:2024:M7RWR5NZ5RWKIFXJNTK4JQA7K6

not attested not anchored not stored refs pending

Solving systems of equations on antichains for the computation of the ninth Dedekind Number

Lennart Van Hirtum, Patrick De Causmaecker

arxiv:2405.20904 v4 · 2024-05-31 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7RWR5NZ5RWKIFXJNTK4JQA7K6}

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	2026-07-05T09:20:23.510328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67e368f5b9ec6ca416e96cd5c4c01f57a164b8d80477b28a26781e466ab4bac3

Aliases

arxiv: 2405.20904 · arxiv_version: 2405.20904v4 · doi: 10.48550/arxiv.2405.20904 · pith_short_12: M7RWR5NZ5RWK · pith_short_16: M7RWR5NZ5RWKIFXJ · pith_short_8: M7RWR5NZ

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/M7RWR5NZ5RWKIFXJNTK4JQA7K6 \
  | 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: 67e368f5b9ec6ca416e96cd5c4c01f57a164b8d80477b28a26781e466ab4bac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "563bf9d6a0ff731fcf4c6473cf18100d2e593a1a8edcc687e113ebb147903ee6",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-05-31T15:15:51Z",
    "title_canon_sha256": "52ed291981a9c1830a385b7e3fe2b89cfc58efe5650a68dc53f424192dd7f947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.20904",
    "kind": "arxiv",
    "version": 4
  }
}