Pith Number

pith:XEWXL3YC

pith:2012:XEWXL3YCJKNTXS55NNJO56WLYG

not attested not anchored not stored refs pending

II$_1$ factors and equivalence relations with distinct fundamental groups

An Speelman, Jan Keersmaekers

arxiv:1212.0983 v2 · 2012-12-05 · 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{XEWXL3YCJKNTXS55NNJO56WLYG}

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	2026-05-18T03:34:35.120648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b92d75ef024a9b3bcbbd6b52eefacbc1a58376c56d18250da77fa6496f2e49ae

Aliases

arxiv: 1212.0983 · arxiv_version: 1212.0983v2 · doi: 10.48550/arxiv.1212.0983 · pith_short_12: XEWXL3YCJKNT · pith_short_16: XEWXL3YCJKNTXS55 · pith_short_8: XEWXL3YC

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/XEWXL3YCJKNTXS55NNJO56WLYG \
  | 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: b92d75ef024a9b3bcbbd6b52eefacbc1a58376c56d18250da77fa6496f2e49ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "205b2d8e625b3565b829c2fbd0a529d8cece6da5147fdf9fa104f18020006482",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-12-05T10:09:18Z",
    "title_canon_sha256": "d14f2e60efa4f25f97d64f7d16b0c636a6974f6e2740e982ec62fb440e1646b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0983",
    "kind": "arxiv",
    "version": 2
  }
}