Pith Number

pith:XLJ4FINA

pith:2017:XLJ4FINASUZNHNCMBJCUGDWVXU

not attested not anchored not stored refs pending

On well-covered Cartesian products

Bert L. Hartnell, Douglas F. Rall, Kirsti Wash

arxiv:1703.08716 v1 · 2017-03-25 · 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{XLJ4FINASUZNHNCMBJCUGDWVXU}

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	2026-05-18T00:47:55.771493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bad3c2a1a09532d3b44c0a45430ed5bd000cc3254cba972e8249607505624fe0

Aliases

arxiv: 1703.08716 · arxiv_version: 1703.08716v1 · doi: 10.48550/arxiv.1703.08716 · pith_short_12: XLJ4FINASUZN · pith_short_16: XLJ4FINASUZNHNCM · pith_short_8: XLJ4FINA

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/XLJ4FINASUZNHNCMBJCUGDWVXU \
  | 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: bad3c2a1a09532d3b44c0a45430ed5bd000cc3254cba972e8249607505624fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52c7e38c5298b5282dba5c19abe6203361e215336c006d9cbb7661f87cbfcabf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-25T17:24:20Z",
    "title_canon_sha256": "567727ec2bb6b85ffb34dc29f43951a042eabb690e6cd19f2e7abc7dd5635ef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08716",
    "kind": "arxiv",
    "version": 1
  }
}