Pith Number

pith:TKUQNGUA

pith:2009:TKUQNGUAVPEUSDEIVCSGMURHEM

not attested not anchored not stored refs pending

On exceptional quotient singularities

Constantin Shramov, Ivan Cheltsov

arxiv:0909.0918 v8 · 2009-09-04 · math.AG · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKUQNGUAVPEUSDEIVCSGMURHEM}

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	2026-05-18T01:22:30.980933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aa9069a80abc9490c88a8a4665227232d06c348bd09be6c89490c14c7992b4b

Aliases

arxiv: 0909.0918 · arxiv_version: 0909.0918v8 · doi: 10.48550/arxiv.0909.0918 · pith_short_12: TKUQNGUAVPEU · pith_short_16: TKUQNGUAVPEUSDEI · pith_short_8: TKUQNGUA

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/TKUQNGUAVPEUSDEIVCSGMURHEM \
  | 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: 9aa9069a80abc9490c88a8a4665227232d06c348bd09be6c89490c14c7992b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "867cd5cbb165b251d1e1e11caa398b96fbca3e78881c88c7c7b687297a42f7f5",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-04T16:24:17Z",
    "title_canon_sha256": "7f35176d10aca0bc8d5df9f1f8f6a66ea2e39a3e2f4af399a71751687b4f1b9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0918",
    "kind": "arxiv",
    "version": 8
  }
}