Pith Number

pith:AQKBZZU4

pith:2011:AQKBZZU4TWUWT5XQJAH4OCY4H2

not attested not anchored not stored refs pending

Non-commutative desingularization of determinantal varieties, II: Arbitrary minors

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

arxiv:1106.1833 v2 · 2011-06-09 · 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{AQKBZZU4TWUWT5XQJAH4OCY4H2}

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	2026-05-18T03:11:47.409130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04141ce69c9da969f6f0480fc70b1c3ea311b64c27a167b28d0881c442342d8f

Aliases

arxiv: 1106.1833 · arxiv_version: 1106.1833v2 · doi: 10.48550/arxiv.1106.1833 · pith_short_12: AQKBZZU4TWUW · pith_short_16: AQKBZZU4TWUWT5XQ · pith_short_8: AQKBZZU4

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/AQKBZZU4TWUWT5XQJAH4OCY4H2 \
  | 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: 04141ce69c9da969f6f0480fc70b1c3ea311b64c27a167b28d0881c442342d8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fa3e1c0fede6f6174565e11858787695fe3164edebbc61078b1a8ba43490d40",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-06-09T15:04:57Z",
    "title_canon_sha256": "5b57ef48b7a3999e5ee701bd5d7fa66489d48fd302c26c246c78d90967bff1ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1833",
    "kind": "arxiv",
    "version": 2
  }
}