Pith Number

pith:FSSBAXEE

pith:2017:FSSBAXEE3G5EOZ7BLOEF272QLJ

not attested not anchored not stored refs pending

Lefschetz Properties of Gorenstein Graded Algebras associated to the Ap\'ery Set of a Numerical Semigroup

Lorenzo Guerrieri

arxiv:1712.01569 v2 · 2017-12-05 · 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{FSSBAXEE3G5EOZ7BLOEF272QLJ}

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	2026-05-18T00:07:32.898051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ca4105c84d9ba4767e15b885d7f505a7d1103ea97bae2b0b0637c134bec15ab

Aliases

arxiv: 1712.01569 · arxiv_version: 1712.01569v2 · doi: 10.48550/arxiv.1712.01569 · pith_short_12: FSSBAXEE3G5E · pith_short_16: FSSBAXEE3G5EOZ7B · pith_short_8: FSSBAXEE

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/FSSBAXEE3G5EOZ7BLOEF272QLJ \
  | 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: 2ca4105c84d9ba4767e15b885d7f505a7d1103ea97bae2b0b0637c134bec15ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b795d6083bf84e860cd9a26d3a910ab9ccf58b592b9c5fa81c85959c719185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-12-05T11:04:50Z",
    "title_canon_sha256": "9436ed5e6d1914e6a9b8e7014ce806eb8a6d3cf640ed73fa3f4d332729f46140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01569",
    "kind": "arxiv",
    "version": 2
  }
}