Pith Number

pith:K6DZ4OFL

pith:2009:K6DZ4OFLQCKLRQMQFWBBLR6OI3

not attested not anchored not stored refs pending

Gorenstein isolated quotient singularities of odd prime dimension are cyclic

Kazuhiko Kurano, Shougo Nishi

arxiv:0903.3270 v2 · 2009-03-19 · 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{K6DZ4OFLQCKLRQMQFWBBLR6OI3}

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	2026-05-18T04:23:34.505089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57879e38ab8094b8c1902d8215c7ce46e4fbbbff06fc1d4dfb43066968fe600b

Aliases

arxiv: 0903.3270 · arxiv_version: 0903.3270v2 · doi: 10.48550/arxiv.0903.3270 · pith_short_12: K6DZ4OFLQCKL · pith_short_16: K6DZ4OFLQCKLRQMQ · pith_short_8: K6DZ4OFL

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/K6DZ4OFLQCKLRQMQFWBBLR6OI3 \
  | 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: 57879e38ab8094b8c1902d8215c7ce46e4fbbbff06fc1d4dfb43066968fe600b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1be53b579cde4d6bf32d888902e0785e46586f96c10d13c10f68d7a76c12acb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-03-19T04:23:49Z",
    "title_canon_sha256": "b5ababff936e86f76e9601ccb64794027517f2a39c644728d424d86da2a2028f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3270",
    "kind": "arxiv",
    "version": 2
  }
}