Pith Number

pith:N6OHYRDW

pith:2006:N6OHYRDWG5BN5CAPQPCZEEZUX3

not attested not anchored not stored refs pending

On the size of the minimum critical set of a Latin square

Ebadollah S. Mahmoodian, Hamed Hatami, Mahya Ghandehari

arxiv:math/0701015 v1 · 2006-12-31 · 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{N6OHYRDWG5BN5CAPQPCZEEZUX3}

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	2026-07-04T14:58:19.987475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f9c7c44763742de880f83c5921334bee5e10eec645665deb6b776bd1925f223

Aliases

arxiv: math/0701015 · arxiv_version: math/0701015v1 · doi: 10.48550/arxiv.math/0701015 · pith_short_12: N6OHYRDWG5BN · pith_short_16: N6OHYRDWG5BN5CAP · pith_short_8: N6OHYRDW

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/N6OHYRDWG5BN5CAPQPCZEEZUX3 \
  | 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: 6f9c7c44763742de880f83c5921334bee5e10eec645665deb6b776bd1925f223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0eb5f49861e1f3cab34cdb1f25a544a6353cdf4673c8040ffdd6231f76b4537",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-12-31T04:36:41Z",
    "title_canon_sha256": "c35a57112fc4a881b053f506c268d9e1df910c3a93ea0856fbbbd0974bc74b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701015",
    "kind": "arxiv",
    "version": 1
  }
}