Pith Number

pith:NDFSATRG

pith:2011:NDFSATRGTNMGPGW2MNVDPWW4Z7

not attested not anchored not stored refs pending

Non-commutative crepant resolutions: scenes from categorical geometry

Graham J. Leuschke

arxiv:1103.5380 v3 · 2011-03-28 · math.AG · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDFSATRGTNMGPGW2MNVDPWW4Z7}

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	2026-05-18T04:15:05.380764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68cb204e269b58679ada636a37dadccff92a834c5165e939dcc64d000fd49349

Aliases

arxiv: 1103.5380 · arxiv_version: 1103.5380v3 · doi: 10.48550/arxiv.1103.5380 · pith_short_12: NDFSATRGTNMG · pith_short_16: NDFSATRGTNMGPGW2 · pith_short_8: NDFSATRG

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/NDFSATRGTNMGPGW2MNVDPWW4Z7 \
  | 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: 68cb204e269b58679ada636a37dadccff92a834c5165e939dcc64d000fd49349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5239f360aed6260d8fde294170617f97c3b85fa14cb59ad135c17a4c2904d1fa",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-28T14:44:53Z",
    "title_canon_sha256": "670a7ae90b1f6415c4fa6d93af2e1d68c37d97c9b6efc21f55118fdd5fcd2e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5380",
    "kind": "arxiv",
    "version": 3
  }
}