Pith Number

pith:GPKPDC6E

pith:2011:GPKPDC6EAOTLJXDO67UOWVNDJM

not attested not anchored not stored refs pending

The Weak Lefschetz Property for monomial complete intersections

Adela Vraciu, Andrew R. Kustin

arxiv:1110.2822 v1 · 2011-10-13 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPKPDC6EAOTLJXDO67UOWVNDJM}

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	2026-05-18T04:11:06.904164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33d4f18bc403a6b4dc6ef7e8eb55a34b3bb6c9fa55e6d7c621e27fb5657d7a90

Aliases

arxiv: 1110.2822 · arxiv_version: 1110.2822v1 · doi: 10.48550/arxiv.1110.2822 · pith_short_12: GPKPDC6EAOTL · pith_short_16: GPKPDC6EAOTLJXDO · pith_short_8: GPKPDC6E

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/GPKPDC6EAOTLJXDO67UOWVNDJM \
  | 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: 33d4f18bc403a6b4dc6ef7e8eb55a34b3bb6c9fa55e6d7c621e27fb5657d7a90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f89760aac1633044c60ea98254e15e30cac9ec30073916e97ee035caf5106042",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-13T00:57:32Z",
    "title_canon_sha256": "9473b78f38be72b792aa8345201d3ff2146d871c02b60e4316e6ad74326c25bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2822",
    "kind": "arxiv",
    "version": 1
  }
}