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Pith Number

pith:DKDOQL7U

pith:1999:DKDOQL7UI75CRMMM7NDBXN4WJP
not attested not anchored not stored refs pending

Noncommutative compact manifolds constructed from quivers

Lieven Le Bruyn

arxiv:math/9907136 v1 · 1999-07-22 · math.AG · math.QA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DKDOQL7UI75CRMMM7NDBXN4WJP}

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 2026-05-18T01:05:32.835865Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1a86e82ff447fa28b18cfb461bb7964becb46b06fd6967113ccd25feb848b67f

Aliases

arxiv: math/9907136 · arxiv_version: math/9907136v1 · doi: 10.48550/arxiv.math/9907136 · pith_short_12: DKDOQL7UI75C · pith_short_16: DKDOQL7UI75CRMMM · pith_short_8: DKDOQL7U
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DKDOQL7UI75CRMMM7NDBXN4WJP \
  | 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: 1a86e82ff447fa28b18cfb461bb7964becb46b06fd6967113ccd25feb848b67f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fb40f4f7e293dfc1634689fd5edbcc0466f76b1197faf24fe71d7cd5e80d2f2a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-07-22T08:38:21Z",
    "title_canon_sha256": "4cd1ad5b0c7401324e323015d69cd779e10a426077ad3368e9d835f5a635fab3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9907136",
    "kind": "arxiv",
    "version": 1
  }
}