Pith Number

pith:WJTUQLIL

pith:2016:WJTUQLIL564DNE2NUPIDGO2BJV

not attested not anchored not stored refs pending

Some algebras with the weak Lefschetz property

David Cook II, Uwe Nagel

arxiv:1606.01812 v1 · 2016-06-06 · math.AC · 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{WJTUQLIL564DNE2NUPIDGO2BJV}

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	2026-05-18T01:12:53.574299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b267482d0befb836934da3d0333b414d4927cb1c81cfb040e99256bc085d46de

Aliases

arxiv: 1606.01812 · arxiv_version: 1606.01812v1 · doi: 10.48550/arxiv.1606.01812 · pith_short_12: WJTUQLIL564D · pith_short_16: WJTUQLIL564DNE2N · pith_short_8: WJTUQLIL

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/WJTUQLIL564DNE2NUPIDGO2BJV \
  | 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: b267482d0befb836934da3d0333b414d4927cb1c81cfb040e99256bc085d46de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e946016d85bce1feb2aa9697aa9a09e6058eb214465a6a248964e654fb8ba26",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-06-06T16:21:16Z",
    "title_canon_sha256": "ca81b1782a54ec6bc2095ba20b491b2214ff20f2601c00e140bb3c983e5196ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01812",
    "kind": "arxiv",
    "version": 1
  }
}