Pith Number

pith:76WATIQG

pith:2020:76WATIQGQS73HWG77SQCB4KEZX

not attested not anchored not stored refs pending

Gorenstein rings generated by strongly stable sets of quadratic monomials

Lisa Nicklasson, Ralf Fr\"oberg

arxiv:2008.00898 v3 · 2020-08-03 · 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{76WATIQGQS73HWG77SQCB4KEZX}

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	2026-07-05T04:20:52.672418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffac09a20684bfb3d8dffca020f144cdf6eeb3b22c1e5c2e8ef006dbe948cc73

Aliases

arxiv: 2008.00898 · arxiv_version: 2008.00898v3 · doi: 10.48550/arxiv.2008.00898 · pith_short_12: 76WATIQGQS73 · pith_short_16: 76WATIQGQS73HWG7 · pith_short_8: 76WATIQG

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/76WATIQGQS73HWG77SQCB4KEZX \
  | 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: ffac09a20684bfb3d8dffca020f144cdf6eeb3b22c1e5c2e8ef006dbe948cc73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88ea7829c928422356aafb80b36fd2c5c210377dc4164451633d484403f1b18c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2020-08-03T14:29:34Z",
    "title_canon_sha256": "1196f9eb629b49bddca0f3764f554617d79467e98cb1c3d688dbe43f2d32c1bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.00898",
    "kind": "arxiv",
    "version": 3
  }
}