Pith Number

pith:E2TXOSBQ

pith:2011:E2TXOSBQMKFSCHSW7NXEFRL4NU

not attested not anchored not stored refs pending

Exel and Stacey crossed products, and Cuntz-Pimsner algebras

Astrid an Huef, Iain Raeburn

arxiv:1107.1019 v1 · 2011-07-06 · 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{E2TXOSBQMKFSCHSW7NXEFRL4NU}

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	2026-05-18T04:18:45.808382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26a7774830628b211e56fb6e42c57c6d269f63a6048c0f7a43bd42150b27cbf8

Aliases

arxiv: 1107.1019 · arxiv_version: 1107.1019v1 · doi: 10.48550/arxiv.1107.1019 · pith_short_12: E2TXOSBQMKFS · pith_short_16: E2TXOSBQMKFSCHSW · pith_short_8: E2TXOSBQ

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/E2TXOSBQMKFSCHSW7NXEFRL4NU \
  | 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: 26a7774830628b211e56fb6e42c57c6d269f63a6048c0f7a43bd42150b27cbf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "611f49f444d95904e86573fb603c98c82c11ca034fa9882d54bcb15709d12c52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-07-06T03:26:08Z",
    "title_canon_sha256": "c0f510bc9faad8a75d9e4636487f2757928ac7d7ecd458272ce9ec02b1d538c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1019",
    "kind": "arxiv",
    "version": 1
  }
}