Pith Number

pith:WNUSHRN2

pith:2014:WNUSHRN2VFKS7GKUUP3KSI5HOA

not attested not anchored not stored refs pending

Thompson's theorem for II_1 factors

Matthew Kennedy, Paul Skoufranis

arxiv:1407.1564 v2 · 2014-07-07 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNUSHRN2VFKS7GKUUP3KSI5HOA}

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	2026-05-18T00:44:58.459405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b36923c5baa9552f9954a3f6a923a7702e5cc54edc418c3a02599b47bd593166

Aliases

arxiv: 1407.1564 · arxiv_version: 1407.1564v2 · doi: 10.48550/arxiv.1407.1564 · pith_short_12: WNUSHRN2VFKS · pith_short_16: WNUSHRN2VFKS7GKU · pith_short_8: WNUSHRN2

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/WNUSHRN2VFKS7GKUUP3KSI5HOA \
  | 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: b36923c5baa9552f9954a3f6a923a7702e5cc54edc418c3a02599b47bd593166

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f67efca96f160a48fa0f106f8d98e12c779657a4aafd8485ecf0a6e3841cea8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-07-07T01:27:26Z",
    "title_canon_sha256": "44a099b90255044daf18c09035ea591331c48818c40881bfbda943cccb7f3612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1564",
    "kind": "arxiv",
    "version": 2
  }
}