Pith Number

pith:PCQ2QVMY

pith:2009:PCQ2QVMYYDCIULBJ2PW6MO3LTD

not attested not anchored not stored refs pending

Axiomatic $KK$-theory for Real C*-algebras

Efren Ruiz, Jeffrey L. Boersema

arxiv:0909.0972 v3 · 2009-09-04 · 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{PCQ2QVMYYDCIULBJ2PW6MO3LTD}

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	2026-05-18T03:43:27.576588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a1a85598c0c48a2c29d3ede63b6b98d2644be9a6bd3129200d06a3caeae8d4

Aliases

arxiv: 0909.0972 · arxiv_version: 0909.0972v3 · doi: 10.48550/arxiv.0909.0972 · pith_short_12: PCQ2QVMYYDCI · pith_short_16: PCQ2QVMYYDCIULBJ · pith_short_8: PCQ2QVMY

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/PCQ2QVMYYDCIULBJ2PW6MO3LTD \
  | 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: 78a1a85598c0c48a2c29d3ede63b6b98d2644be9a6bd3129200d06a3caeae8d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1017453c7bb34ededec50e05e00330c3c03a66e4e4e932e2ff150241a6f13772",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-09-04T22:27:58Z",
    "title_canon_sha256": "9d90f54aa7ddd6b6d53f724796926f50bcf9ffa8c2fc3c6edb0143860a89a6eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0972",
    "kind": "arxiv",
    "version": 3
  }
}