Pith Number

pith:OA7CCXDC

pith:2012:OA7CCXDCNELODE3TY7WGIM2N7X

not attested not anchored not stored refs pending

Completions of epsilon-dense partial Latin squares

Padraic Bartlett

arxiv:1205.1558 v4 · 2012-05-07 · 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{OA7CCXDCNELODE3TY7WGIM2N7X}

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	2026-05-18T03:22:06.174336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

703e215c626916e19373c7ec64334dfdc6ffe8bd447693b6e40aaca6bce62773

Aliases

arxiv: 1205.1558 · arxiv_version: 1205.1558v4 · doi: 10.48550/arxiv.1205.1558 · pith_short_12: OA7CCXDCNELO · pith_short_16: OA7CCXDCNELODE3T · pith_short_8: OA7CCXDC

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/OA7CCXDCNELODE3TY7WGIM2N7X \
  | 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: 703e215c626916e19373c7ec64334dfdc6ffe8bd447693b6e40aaca6bce62773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aac5ba922fb82402fa84e820931f6f503aec0a91285e3129e3ea7282e2f3cc60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-07T23:10:00Z",
    "title_canon_sha256": "4d60e827779fcd53ad8f3bd2ce523e220651770168bb5b0da0bed8fa5f7b3b52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1558",
    "kind": "arxiv",
    "version": 4
  }
}