Pith Number

pith:TBGY33GC

pith:2018:TBGY33GCWDO6C77UUJCLMPZECW

not attested not anchored not stored refs pending

C*-superrigidity of 2-step nilpotent groups

Caleb Eckhardt, Sven Raum

arxiv:1801.06974 v3 · 2018-01-22 · 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{TBGY33GCWDO6C77UUJCLMPZECW}

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	2026-05-18T00:06:50.946203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

984d8decc2b0dde17ff4a244b63f2415a7075985da9db4f991ec4591fcebfcac

Aliases

arxiv: 1801.06974 · arxiv_version: 1801.06974v3 · doi: 10.48550/arxiv.1801.06974 · pith_short_12: TBGY33GCWDO6 · pith_short_16: TBGY33GCWDO6C77U · pith_short_8: TBGY33GC

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/TBGY33GCWDO6C77UUJCLMPZECW \
  | 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: 984d8decc2b0dde17ff4a244b63f2415a7075985da9db4f991ec4591fcebfcac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec444dc3c2878f7b72b40347b5af77e9aefbae1a523e202d41fbcdd453b479cb",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-01-22T06:54:13Z",
    "title_canon_sha256": "5f564634826437b9cce90780d0a16046226c0fc86df624a65dbc3b24ddb5c4ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06974",
    "kind": "arxiv",
    "version": 3
  }
}