Pith Number

pith:2RTUF2UD

pith:2011:2RTUF2UDTT3UEUM5NWVVQJDY6O

not attested not anchored not stored refs pending

Extensions of Hilbert bimodules and associated Cuntz-Pimsner algebras

David Robertson

arxiv:1105.1615 v1 · 2011-05-09 · 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{2RTUF2UDTT3UEUM5NWVVQJDY6O}

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	2026-05-18T04:22:39.097122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d46742ea839cf742519d6dab582478f3b132aa0b795173e1f54348928a23cd64

Aliases

arxiv: 1105.1615 · arxiv_version: 1105.1615v1 · doi: 10.48550/arxiv.1105.1615 · pith_short_12: 2RTUF2UDTT3U · pith_short_16: 2RTUF2UDTT3UEUM5 · pith_short_8: 2RTUF2UD

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/2RTUF2UDTT3UEUM5NWVVQJDY6O \
  | 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: d46742ea839cf742519d6dab582478f3b132aa0b795173e1f54348928a23cd64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b174ad2ca53c98ddb2cc3afd88d1266003664c36169cccf196183b16700ee40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-05-09T10:07:56Z",
    "title_canon_sha256": "bed3341f93f853365071ebe318c789fe4b996e752bc09a7930c4572dba250f8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1615",
    "kind": "arxiv",
    "version": 1
  }
}