Pith Number

pith:PWK537AL

pith:2026:PWK537ALD3IFJV3DHUJ2XDWGRS

not attested not anchored not stored refs pending

On the possible cardinalities of quantum Latin squares

Haitao Cao, Mingzhen Lv, Yuyuan Zhang

arxiv:2607.19969 v1 · 2026-07-22 · 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{PWK537ALD3IFJV3DHUJ2XDWGRS}

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	2026-07-23T01:24:52.707739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d95ddfc0b1ed054d7633d13ab8ec68cb6dd5b1c3fa754b0d9473417f73893e0

Aliases

arxiv: 2607.19969 · arxiv_version: 2607.19969v1 · doi: 10.48550/arxiv.2607.19969 · pith_short_12: PWK537ALD3IF · pith_short_16: PWK537ALD3IFJV3D · pith_short_8: PWK537AL

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/PWK537ALD3IFJV3DHUJ2XDWGRS \
  | 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: 7d95ddfc0b1ed054d7633d13ab8ec68cb6dd5b1c3fa754b0d9473417f73893e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b8f18543f83ce9e4adbff37187bd4110a1a6ce874b46de0b7e28c21581435ff",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-22T09:53:26Z",
    "title_canon_sha256": "8a176056acc6ffa65dad5e944d8f2ecb89379c03f7accd07bda19c7cc48501e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19969",
    "kind": "arxiv",
    "version": 1
  }
}