Pith Number

pith:WQ2CMAGM

pith:2019:WQ2CMAGMDR3OPGCFUEHP6FROHY

not attested not anchored not stored refs pending

II$_1$ factors with exotic central sequence algebras

Adrian Ioana, Pieter Spaas

arxiv:1904.06816 v1 · 2019-04-15 · 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{WQ2CMAGMDR3OPGCFUEHP6FROHY}

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	2026-05-17T23:48:36.119908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4342600cc1c76e79845a10eff162e3e117dfdb0dfdd55a177357488f04d4f8c

Aliases

arxiv: 1904.06816 · arxiv_version: 1904.06816v1 · doi: 10.48550/arxiv.1904.06816 · pith_short_12: WQ2CMAGMDR3O · pith_short_16: WQ2CMAGMDR3OPGCF · pith_short_8: WQ2CMAGM

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/WQ2CMAGMDR3OPGCFUEHP6FROHY \
  | 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: b4342600cc1c76e79845a10eff162e3e117dfdb0dfdd55a177357488f04d4f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "685c0cd75a53ef1222636707cfe5467e5f3d5b022a16b3d1cf2186c40941f507",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-04-15T02:51:09Z",
    "title_canon_sha256": "e944d3a25d8547051899a53f74c6e93ab5111916da84bb37a506a1f566d1e555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06816",
    "kind": "arxiv",
    "version": 1
  }
}