Pith Number

pith:EOFYK7GY

pith:2013:EOFYK7GYTNHCO2BE3YKTHTYPVB

not attested not anchored not stored refs pending

Countable Degree-1 Saturation of Certain C*-Algebras Which Are Coronas of Banach Algebras

Dan-Virgil Voiculescu

arxiv:1310.4862 v1 · 2013-10-17 · 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{EOFYK7GYTNHCO2BE3YKTHTYPVB}

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	2026-05-18T03:10:02.425488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

238b857cd89b4e276824de1533cf0fa86d4a257577a421c724789a8085ae4578

Aliases

arxiv: 1310.4862 · arxiv_version: 1310.4862v1 · doi: 10.48550/arxiv.1310.4862 · pith_short_12: EOFYK7GYTNHC · pith_short_16: EOFYK7GYTNHCO2BE · pith_short_8: EOFYK7GY

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/EOFYK7GYTNHCO2BE3YKTHTYPVB \
  | 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: 238b857cd89b4e276824de1533cf0fa86d4a257577a421c724789a8085ae4578

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54ae9c23e5968b63d0304e2e2a8fc1b60bf8f3237938bb38a82057ab8e6db6e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-10-17T21:49:21Z",
    "title_canon_sha256": "77f1238abaa9d824c873fd03f5e7a0c0ef905f50a85749beb708e46230c4cc32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4862",
    "kind": "arxiv",
    "version": 1
  }
}