Pith Number

pith:M27YU3V2

pith:2009:M27YU3V26VN5PPLDQGWK36DOQR

not attested not anchored not stored refs pending

The Weak Lefschetz Property and powers of linear forms in K[x,y,z]

Alexandra Seceleanu, Hal Schenck

arxiv:0911.0876 v1 · 2009-11-04 · 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{M27YU3V26VN5PPLDQGWK36DOQR}

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	2026-05-18T04:03:43.856551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66bf8a6ebaf55bd7bd6381acadf86e84736962ba46c211e6a0366a5178024cdb

Aliases

arxiv: 0911.0876 · arxiv_version: 0911.0876v1 · doi: 10.48550/arxiv.0911.0876 · pith_short_12: M27YU3V26VN5 · pith_short_16: M27YU3V26VN5PPLD · pith_short_8: M27YU3V2

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/M27YU3V26VN5PPLDQGWK36DOQR \
  | 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: 66bf8a6ebaf55bd7bd6381acadf86e84736962ba46c211e6a0366a5178024cdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a677f24842dcf5165667003316ac0d583d6c87d1990ddf43f880f06d0d30d44",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-11-04T16:51:43Z",
    "title_canon_sha256": "883c182bb906fd9abf9c94a11c3300afd2a7b57e651ff691e8f018acf99041b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0876",
    "kind": "arxiv",
    "version": 1
  }
}