Pith Number

pith:KWPFMAIV

pith:2013:KWPFMAIVVPENZU5G7W2Q7GYWXR

not attested not anchored not stored refs pending

Enumerations of lozenge tilings, lattice paths, and perfect matchings and the weak Lefschetz property

David Cook II, Uwe Nagel

arxiv:1305.1314 v1 · 2013-05-06 · math.CO · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KWPFMAIVVPENZU5G7W2Q7GYWXR}

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	2026-05-18T03:26:22.058043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

559e560115abc8dcd3a6fdb50f9b16bc5181c5625a7aad618d984784b4bfdcb4

Aliases

arxiv: 1305.1314 · arxiv_version: 1305.1314v1 · doi: 10.48550/arxiv.1305.1314 · pith_short_12: KWPFMAIVVPEN · pith_short_16: KWPFMAIVVPENZU5G · pith_short_8: KWPFMAIV

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/KWPFMAIVVPENZU5G7W2Q7GYWXR \
  | 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: 559e560115abc8dcd3a6fdb50f9b16bc5181c5625a7aad618d984784b4bfdcb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f777e70495669f72330e855085d451aa64fdea0eb8c6520d346956b9e5f8f3a",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-06T20:11:04Z",
    "title_canon_sha256": "f596ed47f729321721cbe6cb998710da87adb38bdf43869da1bb1496a75b0f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1314",
    "kind": "arxiv",
    "version": 1
  }
}