Pith Number

pith:B57WWF5H

pith:2010:B57WWF5HWVV45JKS4DFJJAMUTC

not attested not anchored not stored refs pending

Monomial Complete Intersections, The Weak Lefschetz Property and Plane Partitions

Fabrizio Zanello, Jizhou Li

arxiv:1002.4400 v2 · 2010-02-23 · math.AC · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B57WWF5HWVV45JKS4DFJJAMUTC}

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	2026-05-18T04:39:50.297218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f7f6b17a7b56bcea552e0ca94819498a1d6254f12379590a412075ceed70af8

Aliases

arxiv: 1002.4400 · arxiv_version: 1002.4400v2 · doi: 10.48550/arxiv.1002.4400 · pith_short_12: B57WWF5HWVV4 · pith_short_16: B57WWF5HWVV45JKS · pith_short_8: B57WWF5H

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/B57WWF5HWVV45JKS4DFJJAMUTC \
  | 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: 0f7f6b17a7b56bcea552e0ca94819498a1d6254f12379590a412075ceed70af8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "084c093b1d18e6cb4e4752d0f792836e19235dc56ec4e0513191b428db50003b",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-02-23T20:00:42Z",
    "title_canon_sha256": "1ce5ae87c940935fafa14af843bf64876bc3905ab16815b9ed9762b921c782ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4400",
    "kind": "arxiv",
    "version": 2
  }
}