Pith Number

pith:3ZRJGGQV

pith:2011:3ZRJGGQV6AS473D3LV2GQTXDHT

not attested not anchored not stored refs pending

When the associated graded ring of a semigroup ring is Complete Intersection

Alessio Sammartano, Marco D'Anna, Vincenzo Micale

arxiv:1111.1294 v5 · 2011-11-05 · 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{3ZRJGGQV6AS473D3LV2GQTXDHT}

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	2026-05-18T03:35:41.299421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de62931a15f025cfec7b5d74684ee33ccade9f398f414b5a3adbd198f5ec51e1

Aliases

arxiv: 1111.1294 · arxiv_version: 1111.1294v5 · doi: 10.48550/arxiv.1111.1294 · pith_short_12: 3ZRJGGQV6AS4 · pith_short_16: 3ZRJGGQV6AS473D3 · pith_short_8: 3ZRJGGQV

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/3ZRJGGQV6AS473D3LV2GQTXDHT \
  | 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: de62931a15f025cfec7b5d74684ee33ccade9f398f414b5a3adbd198f5ec51e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1de2e6bf2432fcd88934db77d7d37c45418d36e24c0d866c89c31c55fcbe1ace",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-11-05T10:31:51Z",
    "title_canon_sha256": "c1ef5069cc6716b9a01dbfdad5e19bcd580738d5330b3237575a378e02787232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1294",
    "kind": "arxiv",
    "version": 5
  }
}