Pith Number

pith:2UKM67ZH

pith:2016:2UKM67ZHV4OLW3CIQ3SYXHIXA5

not attested not anchored not stored refs pending

Teaching dimension, VC dimension, and critical sets in Latin squares

Hamed Hatami, Yingjie Qian

arxiv:1606.00032 v2 · 2016-05-31 · 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{2UKM67ZHV4OLW3CIQ3SYXHIXA5}

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	2026-05-18T01:04:37.247921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d514cf7f27af1cbb6c4886e58b9d17074a19b9304a2f8b6b12f1baf4353d5324

Aliases

arxiv: 1606.00032 · arxiv_version: 1606.00032v2 · doi: 10.48550/arxiv.1606.00032 · pith_short_12: 2UKM67ZHV4OL · pith_short_16: 2UKM67ZHV4OLW3CI · pith_short_8: 2UKM67ZH

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/2UKM67ZHV4OLW3CIQ3SYXHIXA5 \
  | 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: d514cf7f27af1cbb6c4886e58b9d17074a19b9304a2f8b6b12f1baf4353d5324

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbb14fae9e56385bbfd0e6c6dbb52717a89e11c61deedcf431aa093c6a3cc501",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-31T20:24:13Z",
    "title_canon_sha256": "4129b072f64a8018c04fd4c26644a114110bb26c4d4b8ac00ad2b08eecbe0d12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00032",
    "kind": "arxiv",
    "version": 2
  }
}