Pith Number

pith:ILMYVT2C

pith:2011:ILMYVT2C2OOCKETZJPE4GLNZJF

not attested not anchored not stored refs pending

A class of II_1 factors with many non conjugate Cartan subalgebras

An Speelman, Stefaan Vaes

arxiv:1107.1356 v3 · 2011-07-07 · math.OA · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILMYVT2C2OOCKETZJPE4GLNZJF}

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	2026-05-18T03:48:35.621235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d98acf42d39c2512794bc9c32db9497a2fd3e45a09f69f54d074d05f40ae7e

Aliases

arxiv: 1107.1356 · arxiv_version: 1107.1356v3 · doi: 10.48550/arxiv.1107.1356 · pith_short_12: ILMYVT2C2OOC · pith_short_16: ILMYVT2C2OOCKETZ · pith_short_8: ILMYVT2C

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/ILMYVT2C2OOCKETZJPE4GLNZJF \
  | 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: 42d98acf42d39c2512794bc9c32db9497a2fd3e45a09f69f54d074d05f40ae7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "984b795af00eeb2157b40c55d884636f04c775fc5ee053d437e18bfcc597448e",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-07-07T11:46:27Z",
    "title_canon_sha256": "1b92197247150410ffefe1523b2661b067a9f2f01d51c02c416125b095f02f3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1356",
    "kind": "arxiv",
    "version": 3
  }
}