Pith Number

pith:UGJA6WFQ

pith:2024:UGJA6WFQYJEILF3YL6G7ODEX2A

not attested not anchored not stored refs pending

On the weak Lefschetz property for ideals generated by powers of general linear forms

Adela Vraciu, Matthew D. Booth, Pankaj Singh

arxiv:2410.22542 v3 · 2024-10-29 · 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{UGJA6WFQYJEILF3YL6G7ODEX2A}

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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.

Cited by

1 paper in Pith

Gr\"obner bases, resolutions, and the Lefschetz properties for powers of a general linear form in the squarefree algebra

Receipt and verification

First computed	2026-07-05T11:06:24.731160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1920f58b0c2488597785f8df70c97d0011b207eebf531a3c78973fc66babce9

Aliases

arxiv: 2410.22542 · arxiv_version: 2410.22542v3 · doi: 10.48550/arxiv.2410.22542 · pith_short_12: UGJA6WFQYJEI · pith_short_16: UGJA6WFQYJEILF3Y · pith_short_8: UGJA6WFQ

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/UGJA6WFQYJEILF3YL6G7ODEX2A \
  | 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: a1920f58b0c2488597785f8df70c97d0011b207eebf531a3c78973fc66babce9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f925560480416677c39214a2c2ed731ddd98247574c2abce3d1200022b6aa5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-10-29T21:16:44Z",
    "title_canon_sha256": "ffdc4529f1a206f2b91776eaa75f049c03782ae0d6c3918ba6d6692a2d7dcd35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.22542",
    "kind": "arxiv",
    "version": 3
  }
}