Pith Number

pith:GELSAV2Y

pith:2016:GELSAV2YD36QPW3M2JH4Q5RFDB

not attested not anchored not stored refs pending

Lefschetz properties for Artinian Gorenstein algebras presented by quadrics

Giuseppe Zappal\`a, Rodrigo Gondim

arxiv:1601.04454 v2 · 2016-01-18 · 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{GELSAV2YD36QPW3M2JH4Q5RFDB}

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	2026-05-18T00:45:30.607206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31172057581efd07db6cd24fc876251842ff710733c0cb6f2a643d1cfa74ef71

Aliases

arxiv: 1601.04454 · arxiv_version: 1601.04454v2 · doi: 10.48550/arxiv.1601.04454 · pith_short_12: GELSAV2YD36Q · pith_short_16: GELSAV2YD36QPW3M · pith_short_8: GELSAV2Y

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/GELSAV2YD36QPW3M2JH4Q5RFDB \
  | 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: 31172057581efd07db6cd24fc876251842ff710733c0cb6f2a643d1cfa74ef71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b335a2dad6c9fed40e38637d36214be8cf62fbec4770c714381c29cf274bde5c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-18T10:26:29Z",
    "title_canon_sha256": "d0f7e21678a6aab7df071c20ba84729b3e5c8bfd380e2bdaeef9e011e28ce275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04454",
    "kind": "arxiv",
    "version": 2
  }
}