Pith Number

pith:QQDKCLWM

pith:2013:QQDKCLWM7V5TR4H27DT3EDN26X

not attested not anchored not stored refs pending

The primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources

Aidan Sims, Jacob Shotwell, Sooran Kang, Toke Meier Carlsen

arxiv:1305.6388 v1 · 2013-05-28 · 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{QQDKCLWM7V5TR4H27DT3EDN26X}

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	2026-05-18T03:02:46.979145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8406a12eccfd7b38f0faf8e7b20dbaf5e540731dc8302c9cbeb43c5ef8f53b93

Aliases

arxiv: 1305.6388 · arxiv_version: 1305.6388v1 · doi: 10.48550/arxiv.1305.6388 · pith_short_12: QQDKCLWM7V5T · pith_short_16: QQDKCLWM7V5TR4H2 · pith_short_8: QQDKCLWM

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/QQDKCLWM7V5TR4H27DT3EDN26X \
  | 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: 8406a12eccfd7b38f0faf8e7b20dbaf5e540731dc8302c9cbeb43c5ef8f53b93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7de96114d6d42e929cbd9ff94513866021aea7a9ffa55b99942dfb588f5821c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-05-28T07:25:08Z",
    "title_canon_sha256": "ca5a1291f47bfaf9a3c9b07aaf456b37218e6dcbcd01a3e3c852571c3ba5d6f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6388",
    "kind": "arxiv",
    "version": 1
  }
}