Pith Number

pith:P5C2D3CM

pith:2011:P5C2D3CMML5E74BA3XXBMMQBQ2

not attested not anchored not stored refs pending

On twisted higher-rank graph C*-algebras

Aidan Sims, Alex Kumjian, David Pask

arxiv:1112.6233 v3 · 2011-12-29 · 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{P5C2D3CMML5E74BA3XXBMMQBQ2}

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	2026-05-18T03:15:57.846996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f45a1ec4c62fa4ff020ddee16320186b370d63e1526e832842549605b89e924

Aliases

arxiv: 1112.6233 · arxiv_version: 1112.6233v3 · doi: 10.48550/arxiv.1112.6233 · pith_short_12: P5C2D3CMML5E · pith_short_16: P5C2D3CMML5E74BA · pith_short_8: P5C2D3CM

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/P5C2D3CMML5E74BA3XXBMMQBQ2 \
  | 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: 7f45a1ec4c62fa4ff020ddee16320186b370d63e1526e832842549605b89e924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f4f0416efb9a9f5ca07c67d53f8ec1d680d4c97db48f288c0259f8eab63d0ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-12-29T06:05:43Z",
    "title_canon_sha256": "67be60c81b61fdf82c680b44701902bf39d7fd460fff8927436185af86e0f735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6233",
    "kind": "arxiv",
    "version": 3
  }
}