Pith Number

pith:3FZQ5HG4

pith:2018:3FZQ5HG4VM4ZL56XP52CSTCZBA

not attested not anchored not stored refs pending

Singular subgroups in $\tilde{A}_2$-groups and their von Neumann algebras

Piotr W. Nowak, Yongle Jiang

arxiv:1811.03117 v1 · 2018-11-07 · math.OA · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FZQ5HG4VM4ZL56XP52CSTCZBA}

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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	2026-05-18T00:01:19.067119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9730e9cdcab3995f7d77f74294c59083ac5b2d177aa1aa9c1c27921e3b3f1d0

Aliases

arxiv: 1811.03117 · arxiv_version: 1811.03117v1 · doi: 10.48550/arxiv.1811.03117 · pith_short_12: 3FZQ5HG4VM4Z · pith_short_16: 3FZQ5HG4VM4ZL56X · pith_short_8: 3FZQ5HG4

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/3FZQ5HG4VM4ZL56XP52CSTCZBA \
  | 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: d9730e9cdcab3995f7d77f74294c59083ac5b2d177aa1aa9c1c27921e3b3f1d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f40a026116ba57bb502c29367e756b9be883f6b9e8c7fcf1e7065e8c72e02088",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-11-07T19:10:12Z",
    "title_canon_sha256": "230c9885d4e1ad5bb98e50e131b21c9714615c85399fdadf886dd4cf985159a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03117",
    "kind": "arxiv",
    "version": 1
  }
}