Pith Number

pith:WKWQJNBX

pith:2021:WKWQJNBX5U3JCZZQJEMDRRYNZX

not attested not anchored not stored refs pending

A lower bound for the $n$-queens problem

Michael Simkin, Zur Luria

arxiv:2105.11431 v2 · 2021-05-24 · 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{WKWQJNBX5U3JCZZQJEMDRRYNZX}

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

3 papers in Pith

The extensible no-$(k(n)+1)$-in-line problem

Statistical mechanics of the $N$-queens problem

Receipt and verification

First computed	2026-07-05T02:56:28.067408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2ad04b437ed36916730491838c70dcdcc72a4bdc19d247ee5398f7ab38da085

Aliases

arxiv: 2105.11431 · arxiv_version: 2105.11431v2 · doi: 10.48550/arxiv.2105.11431 · pith_short_12: WKWQJNBX5U3J · pith_short_16: WKWQJNBX5U3JCZZQ · pith_short_8: WKWQJNBX

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/WKWQJNBX5U3JCZZQJEMDRRYNZX \
  | 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: b2ad04b437ed36916730491838c70dcdcc72a4bdc19d247ee5398f7ab38da085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8deb3bb058270b43f4b8cfe507527b04788a7f48964d941f3ab48b8e0a1be65b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-05-24T17:40:48Z",
    "title_canon_sha256": "58ef342952d98f0def222f3c33ebd551481c6e0ec8072c9f22571ff9c7f8b6fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.11431",
    "kind": "arxiv",
    "version": 2
  }
}