Pith Number

pith:U7BLWRQ3

pith:2011:U7BLWRQ3FEQACRZ3BYY3JZNZF7

not attested not anchored not stored refs pending

On graded stable derived categories of isolated Gorenstein quotient singularities

Kazushi Ueda

arxiv:1109.3053 v1 · 2011-09-14 · 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{U7BLWRQ3FEQACRZ3BYY3JZNZF7}

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	2026-05-18T04:13:06.392137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7c2bb461b292001473b0e31b4e5b92fd1c44ab9d622bbd9bb96243e370acb39

Aliases

arxiv: 1109.3053 · arxiv_version: 1109.3053v1 · doi: 10.48550/arxiv.1109.3053 · pith_short_12: U7BLWRQ3FEQA · pith_short_16: U7BLWRQ3FEQACRZ3 · pith_short_8: U7BLWRQ3

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/U7BLWRQ3FEQACRZ3BYY3JZNZF7 \
  | 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: a7c2bb461b292001473b0e31b4e5b92fd1c44ab9d622bbd9bb96243e370acb39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "439cc1ce960fc06bf2c93ea96df777b4b03aec76de402f8eca331baac23a75fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-14T11:26:45Z",
    "title_canon_sha256": "7a012dd7e651726186b7ecc73cdc19408ed267a42dded21a030da0deea89c6ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3053",
    "kind": "arxiv",
    "version": 1
  }
}