Pith Number

pith:YSK33Y2R

pith:2015:YSK33Y2RMP47XQ7DZ2ON3R3MWL

not attested not anchored not stored refs pending

II_1 factors with non-isomorphic ultrapowers

Adrian Ioana, Ionut Chifan, R\'emi Boutonnet

arxiv:1507.06340 v4 · 2015-07-22 · math.OA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSK33Y2RMP47XQ7DZ2ON3R3MWL}

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	2026-05-18T00:32:44.958904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c495bde35163f9fbc3e3ce9cddc76cb2f9f92d3a99c3c05745653349524007df

Aliases

arxiv: 1507.06340 · arxiv_version: 1507.06340v4 · doi: 10.48550/arxiv.1507.06340 · pith_short_12: YSK33Y2RMP47 · pith_short_16: YSK33Y2RMP47XQ7D · pith_short_8: YSK33Y2R

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/YSK33Y2RMP47XQ7DZ2ON3R3MWL \
  | 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: c495bde35163f9fbc3e3ce9cddc76cb2f9f92d3a99c3c05745653349524007df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ec5d3838aa15f49837bcdc50910d43e03453999de122da4f21275ee1e749901",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-07-22T21:03:21Z",
    "title_canon_sha256": "7b65d51def527e4d77f7c0a8eeafabb8d8f11b543e94b6f1fcc2348981045bcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06340",
    "kind": "arxiv",
    "version": 4
  }
}