Pith Number

pith:ZSQVFX5C

pith:2011:ZSQVFX5CASTL6HFCUAJSTPB77L

not attested not anchored not stored refs pending

A new family of representatiosnof virtually free groups

Alessandra Iozzi, M. Gabriella Kuhn, Tim Steger

arxiv:1112.4709 v1 · 2011-12-20 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSQVFX5CASTL6HFCUAJSTPB77L}

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	2026-05-18T04:05:58.195108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cca152dfa204a6bf1ca2a01329bc3ffad1016f74cfb4dc4968757ee36594d9e1

Aliases

arxiv: 1112.4709 · arxiv_version: 1112.4709v1 · doi: 10.48550/arxiv.1112.4709 · pith_short_12: ZSQVFX5CASTL · pith_short_16: ZSQVFX5CASTL6HFC · pith_short_8: ZSQVFX5C

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/ZSQVFX5CASTL6HFCUAJSTPB77L \
  | 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: cca152dfa204a6bf1ca2a01329bc3ffad1016f74cfb4dc4968757ee36594d9e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0106cd1f1e34e7c33b26e3ad0ba2784cafc4680e6b77b71bf8e9a4f55c4f6ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-20T14:41:34Z",
    "title_canon_sha256": "0dbfd598ac3bf4a0758a9c1eb5bf6d1882f896ad732beed6444710300fe95b30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4709",
    "kind": "arxiv",
    "version": 1
  }
}