Pith Number

pith:KG3ONT4F

pith:2018:KG3ONT4FW7EAUWIQWBVTVN2MZL

not attested not anchored not stored refs pending

Free nilpotent groups are C*-superrigid

Tron Omland

arxiv:1803.10208 v2 · 2018-03-27 · math.OA · 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{KG3ONT4FW7EAUWIQWBVTVN2MZL}

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	2026-05-17T23:47:52.864681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51b6e6cf85b7c80a5910b06b3ab74ccacc179d86fb188898db504eece6bdc5eb

Aliases

arxiv: 1803.10208 · arxiv_version: 1803.10208v2 · doi: 10.48550/arxiv.1803.10208 · pith_short_12: KG3ONT4FW7EA · pith_short_16: KG3ONT4FW7EAUWIQ · pith_short_8: KG3ONT4F

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/KG3ONT4FW7EAUWIQWBVTVN2MZL \
  | 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: 51b6e6cf85b7c80a5910b06b3ab74ccacc179d86fb188898db504eece6bdc5eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e976ec6860196acc25af75db91bb59bbf753dbc4c6755249f958cbff9800a146",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-03-27T17:47:02Z",
    "title_canon_sha256": "27522a1e124a2bd3f07e39604816284ebf0c703021d7b97279250dc3d1638218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10208",
    "kind": "arxiv",
    "version": 2
  }
}