Pith Number

pith:AODZSHCH

pith:2022:AODZSHCHP4SUHWH5MIN5V4MFD3

not attested not anchored not stored refs pending

Substructures in Latin squares

Ashwin Sah, Matthew Kwan, Mehtaab Sawhney, Michael Simkin

arxiv:2202.05088 v4 · 2022-02-10 · 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{AODZSHCHP4SUHWH5MIN5V4MFD3}

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	2026-07-05T04:45:57.856777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0387991c477f2543d8fd621bdaf1851ef9df45924277dae8889e0f2ac0176e5d

Aliases

arxiv: 2202.05088 · arxiv_version: 2202.05088v4 · doi: 10.48550/arxiv.2202.05088 · pith_short_12: AODZSHCHP4SU · pith_short_16: AODZSHCHP4SUHWH5 · pith_short_8: AODZSHCH

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/AODZSHCHP4SUHWH5MIN5V4MFD3 \
  | 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: 0387991c477f2543d8fd621bdaf1851ef9df45924277dae8889e0f2ac0176e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d47c144761b3ab2d3f28797cb23f1bb09c9f90a4c26dc1e4bcf4351b40f6928",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-02-10T15:16:04Z",
    "title_canon_sha256": "5c699c178e3b2793e73c69a32c3942b9e1974158b6b40a254599d9f529c3b552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.05088",
    "kind": "arxiv",
    "version": 4
  }
}