Pith Number

pith:ILW5P5FW

pith:2010:ILW5P5FWUD7A4LL7AARV7X2VJ7

not attested not anchored not stored refs pending

On the Weak Lefschetz Property for Powers of Linear Forms

Juan Migliore, Rosa M. Mir\'o-Roig, Uwe Nagel

arxiv:1008.2149 v1 · 2010-08-12 · 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{ILW5P5FWUD7A4LL7AARV7X2VJ7}

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	2026-05-18T04:42:14.911712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42edd7f4b6a0fe0e2d7f00235fdf554fd5e9f5a7fcc6ff217b52618e070d9a59

Aliases

arxiv: 1008.2149 · arxiv_version: 1008.2149v1 · doi: 10.48550/arxiv.1008.2149 · pith_short_12: ILW5P5FWUD7A · pith_short_16: ILW5P5FWUD7A4LL7 · pith_short_8: ILW5P5FW

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/ILW5P5FWUD7A4LL7AARV7X2VJ7 \
  | 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: 42edd7f4b6a0fe0e2d7f00235fdf554fd5e9f5a7fcc6ff217b52618e070d9a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5876dea530ab9323b560919b421571c126522d9471affce9ed6bb7dafc2c1197",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-08-12T15:53:40Z",
    "title_canon_sha256": "3db1d1159a71e7f647f197147a9dddbf892e12099725390eacaca99ae56a0e42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2149",
    "kind": "arxiv",
    "version": 1
  }
}