Pith Number

pith:U2MIZLZB

pith:2009:U2MIZLZBRWL45K2GALEKZGV2WQ

not attested not anchored not stored refs pending

Non-commutative desingularization of determinantal varieties, I

Graham J. Leuschke, Michel Van den Bergh, Ragnar-Olaf Buchweitz

arxiv:0911.2659 v2 · 2009-11-13 · 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{U2MIZLZBRWL45K2GALEKZGV2WQ}

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	2026-05-18T02:10:47.858007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6988caf218d97ceab4602c8ac9abab421feb28d79e6bb6907c3527b33bb1aaf

Aliases

arxiv: 0911.2659 · arxiv_version: 0911.2659v2 · doi: 10.48550/arxiv.0911.2659 · pith_short_12: U2MIZLZBRWL4 · pith_short_16: U2MIZLZBRWL45K2G · pith_short_8: U2MIZLZB

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/U2MIZLZBRWL45K2GALEKZGV2WQ \
  | 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: a6988caf218d97ceab4602c8ac9abab421feb28d79e6bb6907c3527b33bb1aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7801d58cdcf91a4ae0ffd92255a35ed7522611b7bb9fe22dece7f59c7d5d5d86",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-11-13T19:38:44Z",
    "title_canon_sha256": "8b888a3911c61856dcb588426475fee99f7a19ed1438ab21c6471f802ea9fd48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2659",
    "kind": "arxiv",
    "version": 2
  }
}