Pith Number

pith:23Y5PU6J

pith:2021:23Y5PU6JXVX3VGRCN3TWMEN7QJ

not attested not anchored not stored refs pending

Koszul Gorenstein algebras from Cohen-Macaulay simplicial complexes

Alessio D'Al\`i, Lorenzo Venturello

arxiv:2106.05051 v2 · 2021-06-09 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23Y5PU6JXVX3VGRCN3TWMEN7QJ}

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	2026-07-05T06:07:28.437493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6f1d7d3c9bd6fba9a226ee76611bf8258266900066f62675b587c796d509e8c

Aliases

arxiv: 2106.05051 · arxiv_version: 2106.05051v2 · doi: 10.48550/arxiv.2106.05051 · pith_short_12: 23Y5PU6JXVX3 · pith_short_16: 23Y5PU6JXVX3VGRC · pith_short_8: 23Y5PU6J

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/23Y5PU6JXVX3VGRCN3TWMEN7QJ \
  | 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: d6f1d7d3c9bd6fba9a226ee76611bf8258266900066f62675b587c796d509e8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35435eb32cc8f4fc1c241169df6f2cd6e7c3f6495e046a4ca9c7e88b122b41f9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-06-09T13:05:18Z",
    "title_canon_sha256": "eb8c96e33bb78805188cd683e599185d1eddaef0fe362c507545c6c55a40ff96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.05051",
    "kind": "arxiv",
    "version": 2
  }
}