Pith Number

pith:J6XEZ2EL

pith:2012:J6XEZ2ELH557KW4N5DCXOXVBCE

not attested not anchored not stored refs pending

On the K-theory of twisted higher-rank-graph C*-algebras

Aidan Sims, Alex Kumjian, David Pask

arxiv:1211.1445 v1 · 2012-11-07 · 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{J6XEZ2ELH557KW4N5DCXOXVBCE}

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	2026-05-18T03:41:20.939804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fae4ce88b3f7bf55b8de8c5775ea111185e85f1739c015fa5ae8850d81077b2

Aliases

arxiv: 1211.1445 · arxiv_version: 1211.1445v1 · doi: 10.48550/arxiv.1211.1445 · pith_short_12: J6XEZ2ELH557 · pith_short_16: J6XEZ2ELH557KW4N · pith_short_8: J6XEZ2EL

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/J6XEZ2ELH557KW4N5DCXOXVBCE \
  | 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: 4fae4ce88b3f7bf55b8de8c5775ea111185e85f1739c015fa5ae8850d81077b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09aacb9a6ad27af38105bf16b28e7f5b1adb580d1ebc921b14c0e48b7c6b9ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-11-07T03:48:24Z",
    "title_canon_sha256": "a62e9ec8b003ecaa2e46895ec93813164e3093d6beeaf635303e361045adee6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1445",
    "kind": "arxiv",
    "version": 1
  }
}