Pith Number

pith:LIRZAW2X

pith:2026:LIRZAW2XCCZQT5YUYNBCKRMLE3

not attested not anchored not stored refs pending

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

Hao Feng, Haozhe Wang, Kilar Zhang, Tian-Shun Chen

arxiv:2606.09795 v1 · 2026-06-08 · math.CO · cs.IT · cs.NA · hep-th · math-ph · math.IT · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIRZAW2XCCZQT5YUYNBCKRMLE3}

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	2026-06-09T02:09:10.283965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a23905b5710b309f714c34225458b26fac059a79c54989968a2a3b2bfefd140

Aliases

arxiv: 2606.09795 · arxiv_version: 2606.09795v1 · doi: 10.48550/arxiv.2606.09795 · pith_short_12: LIRZAW2XCCZQ · pith_short_16: LIRZAW2XCCZQT5YU · pith_short_8: LIRZAW2X

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/LIRZAW2XCCZQT5YUYNBCKRMLE3 \
  | 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: 5a23905b5710b309f714c34225458b26fac059a79c54989968a2a3b2bfefd140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48c5c56bc801f5866ea536891d49abd19dc9c18c1f542d74ffdd204c6fe41a73",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.NA",
      "hep-th",
      "math-ph",
      "math.IT",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-08T17:51:27Z",
    "title_canon_sha256": "71b7704ac7b48825c2ac31f41072e696bf628b7e1a206f74a16b335c69a983ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09795",
    "kind": "arxiv",
    "version": 1
  }
}