Pith Number

pith:AHXGQG4X

pith:2011:AHXGQG4XV3H67K26NPL7OVZHPD

not attested not anchored not stored refs pending

Aperiodicity and the primitive ideal space of a row-finite $k$-graph $C^*$-algebra

David Pask, Sooran Kang

arxiv:1105.1208 v2 · 2011-05-06 · 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{AHXGQG4XV3H67K26NPL7OVZHPD}

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	2026-05-18T03:49:58.521599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01ee681b97aecfefab5e6bd7f7572778f308f9a2e98308167614b20a0dafd0c6

Aliases

arxiv: 1105.1208 · arxiv_version: 1105.1208v2 · doi: 10.48550/arxiv.1105.1208 · pith_short_12: AHXGQG4XV3H6 · pith_short_16: AHXGQG4XV3H67K26 · pith_short_8: AHXGQG4X

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/AHXGQG4XV3H67K26NPL7OVZHPD \
  | 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: 01ee681b97aecfefab5e6bd7f7572778f308f9a2e98308167614b20a0dafd0c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "390b132b9cc184f9ce10893951984015b8fb9e0cb12ce69d2db582e8d9b4653b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-05-06T01:46:05Z",
    "title_canon_sha256": "c6eb9ada1498567983a6166f68ad53a96c97807a1da783efa41ede93af5717c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1208",
    "kind": "arxiv",
    "version": 2
  }
}