Pith Number

pith:DF355P37

pith:2009:DF355P375QPTJWC2FWK4Q3FCRG

not attested not anchored not stored refs pending

The weak Lefschetz property, monomial ideals, and lozenges

David Cook II, Uwe Nagel

arxiv:0909.3509 v1 · 2009-09-18 · 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{DF355P375QPTJWC2FWK4Q3FCRG}

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	2026-05-18T03:35:54.696239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1977debf7fec1f34d85a2d95c86ca289bdb664efa9f591e119fa4e04c02ae389

Aliases

arxiv: 0909.3509 · arxiv_version: 0909.3509v1 · doi: 10.48550/arxiv.0909.3509 · pith_short_12: DF355P375QPT · pith_short_16: DF355P375QPTJWC2 · pith_short_8: DF355P37

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/DF355P375QPTJWC2FWK4Q3FCRG \
  | 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: 1977debf7fec1f34d85a2d95c86ca289bdb664efa9f591e119fa4e04c02ae389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a405cf0785ff9a8468193f822ba1d45740dc0034e2b494b6b7520d8819d01b31",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-09-18T19:36:16Z",
    "title_canon_sha256": "38f6911072a52f386671942b743e180d357e4518aa8fa070432d0b358f795af7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3509",
    "kind": "arxiv",
    "version": 1
  }
}