Pith Number

pith:ZDT2WRAE

pith:2011:ZDT2WRAE5GN7JYUHXLGCQOEGB7

not attested not anchored not stored refs pending

When is the Cuntz-Krieger algebra of a higher-rank graph approximately finite-dimensional?

Aidan Sims, D. Gwion Evans

arxiv:1112.4549 v2 · 2011-12-20 · 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{ZDT2WRAE5GN7JYUHXLGCQOEGB7}

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	2026-05-18T00:02:53.603637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e7ab4404e99bf4e287bacc2838860feaa49317e9c9ebc4532eb2fb29bd7ce4

Aliases

arxiv: 1112.4549 · arxiv_version: 1112.4549v2 · doi: 10.48550/arxiv.1112.4549 · pith_short_12: ZDT2WRAE5GN7 · pith_short_16: ZDT2WRAE5GN7JYUH · pith_short_8: ZDT2WRAE

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/ZDT2WRAE5GN7JYUHXLGCQOEGB7 \
  | 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: c8e7ab4404e99bf4e287bacc2838860feaa49317e9c9ebc4532eb2fb29bd7ce4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce826f79f49f4091af60f6adde552b28390a3037cb76da86868d598980fc2319",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-12-20T02:46:29Z",
    "title_canon_sha256": "456a249e9a686eb634c1dc158281b995811f94f765156c53990c99a63ddd4418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4549",
    "kind": "arxiv",
    "version": 2
  }
}