Pith Number

pith:NGNQAEL4

pith:2023:NGNQAEL4KWXXQDWUVUKA5JLAHW

not attested not anchored not stored refs pending

Maximal amenable MASAs of radial type in the free group factors

Remi Boutonnet, Sorin Popa

arxiv:2302.13355 v2 · 2023-02-26 · 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{NGNQAEL4KWXXQDWUVUKA5JLAHW}

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	2026-06-23T03:14:26.687372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

699b00117c55af780ed4ad140ea5603db7bdaaab0d3e8973f6b723c87ffd75f8

Aliases

arxiv: 2302.13355 · arxiv_version: 2302.13355v2 · doi: 10.48550/arxiv.2302.13355 · pith_short_12: NGNQAEL4KWXX · pith_short_16: NGNQAEL4KWXXQDWU · pith_short_8: NGNQAEL4

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/NGNQAEL4KWXXQDWUVUKA5JLAHW \
  | 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: 699b00117c55af780ed4ad140ea5603db7bdaaab0d3e8973f6b723c87ffd75f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49894de09db677e857dfa0114da5a96607b8f6e6d69dc331b20da128fd249b0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2023-02-26T17:11:13Z",
    "title_canon_sha256": "1d5a41e523a26d183f03fbe719947a5b9e2f85a4d58259a63f4823cc1f09325c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.13355",
    "kind": "arxiv",
    "version": 2
  }
}