Pith Number

pith:6CJKQPFK

pith:2012:6CJKQPFK365NX2FTOJEOVAZF4M

not attested not anchored not stored refs pending

Bimodules over Cartan MASAs in von Neumann Algebras, Norming Algebras, and Mercer's Theorem

David R. Pitts, Jan Cameron, Vrej Zarikian

arxiv:1202.6408 v2 · 2012-02-28 · 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{6CJKQPFK365NX2FTOJEOVAZF4M}

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	2026-05-18T01:15:00.642622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f092a83caadfbadbe8b37248ea8325e3169fe568248de785bb41dca0948d6e89

Aliases

arxiv: 1202.6408 · arxiv_version: 1202.6408v2 · doi: 10.48550/arxiv.1202.6408 · pith_short_12: 6CJKQPFK365N · pith_short_16: 6CJKQPFK365NX2FT · pith_short_8: 6CJKQPFK

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/6CJKQPFK365NX2FTOJEOVAZF4M \
  | 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: f092a83caadfbadbe8b37248ea8325e3169fe568248de785bb41dca0948d6e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eb71b1fd3a5806ef26436eb55eb0076a53873e6ca858a35a1132e840620b083",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-02-28T23:17:47Z",
    "title_canon_sha256": "266a5487facab9a96ced167694909657d2ca3cbb20f5e55307f96db1f5f51700"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6408",
    "kind": "arxiv",
    "version": 2
  }
}