Pith Number

pith:FNSO7WZB

pith:2016:FNSO7WZB2YDKKCG4HTVYO6DCIS

not attested not anchored not stored refs pending

On the dimension of matrix embeddings of torsion-free nilpotent groups

Armin Wei{\ss}, Funda Gul

arxiv:1606.02247 v1 · 2016-06-07 · 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{FNSO7WZB2YDKKCG4HTVYO6DCIS}

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	2026-05-18T01:12:44.394742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b64efdb21d606a508dc3ceb87786244af50f63f15ca654041f505917921ecc5

Aliases

arxiv: 1606.02247 · arxiv_version: 1606.02247v1 · doi: 10.48550/arxiv.1606.02247 · pith_short_12: FNSO7WZB2YDK · pith_short_16: FNSO7WZB2YDKKCG4 · pith_short_8: FNSO7WZB

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/FNSO7WZB2YDKKCG4HTVYO6DCIS \
  | 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: 2b64efdb21d606a508dc3ceb87786244af50f63f15ca654041f505917921ecc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "541759e2ecf8565c3a7776d4de7bd685cecfd2c9227d499a20dfa60fcacb4ab5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-07T18:27:44Z",
    "title_canon_sha256": "cd8586b8674e9c5b007214480ff55bc2050cc25c0b4a41ce288180b9f1aaeab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02247",
    "kind": "arxiv",
    "version": 1
  }
}