Pith Number

pith:QGVUKJQ5

pith:2009:QGVUKJQ5FAGZUZU3H7KUC2ACJS

not attested not anchored not stored refs pending

Uniqueness theorems for topological higher-rank graph C*-algebras

Aidan Sims, Dana P. Williams, Jean N. Renault, Trent Yeend

arxiv:0906.0829 v3 · 2009-06-04 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGVUKJQ5FAGZUZU3H7KUC2ACJS}

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	2026-05-18T03:46:04.263738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ab45261d280d9a669b3fd54168024cab2462260189d415c6e5f83a2b21753b

Aliases

arxiv: 0906.0829 · arxiv_version: 0906.0829v3 · doi: 10.48550/arxiv.0906.0829 · pith_short_12: QGVUKJQ5FAGZ · pith_short_16: QGVUKJQ5FAGZUZU3 · pith_short_8: QGVUKJQ5

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/QGVUKJQ5FAGZUZU3H7KUC2ACJS \
  | 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: 81ab45261d280d9a669b3fd54168024cab2462260189d415c6e5f83a2b21753b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bccf342ba25ab87f28c16afa70004afdba8cd319c9977917954dd754652879a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-06-04T04:22:15Z",
    "title_canon_sha256": "1da0c5a1cab3cd4137d74c0c5e897b0eb88c02dc17306be743dafca0774cddee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0829",
    "kind": "arxiv",
    "version": 3
  }
}