Pith Number

pith:JLEEF4WC

pith:2010:JLEEF4WCKDY56BCFW2PYQKSAAG

not attested not anchored not stored refs pending

Cuntz-Krieger uniqueness theorem for crossed products by Hilbert bimodules

B. K. Kwasniewski

arxiv:1010.0446 v5 · 2010-10-03 · math.OA · math.DS · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLEEF4WCKDY56BCFW2PYQKSAAG}

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	2026-05-18T02:28:29.666270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ac842f2c250f1df0445b69f882a4001a1c43dff495724700027b598443071bf

Aliases

arxiv: 1010.0446 · arxiv_version: 1010.0446v5 · doi: 10.48550/arxiv.1010.0446 · pith_short_12: JLEEF4WCKDY5 · pith_short_16: JLEEF4WCKDY56BCF · pith_short_8: JLEEF4WC

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/JLEEF4WCKDY56BCFW2PYQKSAAG \
  | 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: 4ac842f2c250f1df0445b69f882a4001a1c43dff495724700027b598443071bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ae512ea24c463575943f2f3195babac1f880bda844a497a131bf6cbe867ceca",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-10-03T22:28:37Z",
    "title_canon_sha256": "b4529d91c317b358dd37680c4bde1805401e07eb84c2b7688078804ca2b659da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0446",
    "kind": "arxiv",
    "version": 5
  }
}