Pith Number

pith:UI66OSZ7

pith:2013:UI66OSZ7YCAR3HUBY72BK3JSLF

not attested not anchored not stored refs pending

The free group does not have the finite cover property

Rizos Sklinos

arxiv:1312.0586 v2 · 2013-12-02 · math.LO · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UI66OSZ7YCAR3HUBY72BK3JSLF}

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	2026-05-18T00:42:52.093333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a23de74b3fc0811d9e81c7f4156d325943ba3c70bc46940f1381db9294b0afe7

Aliases

arxiv: 1312.0586 · arxiv_version: 1312.0586v2 · doi: 10.48550/arxiv.1312.0586 · pith_short_12: UI66OSZ7YCAR · pith_short_16: UI66OSZ7YCAR3HUB · pith_short_8: UI66OSZ7

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/UI66OSZ7YCAR3HUBY72BK3JSLF \
  | 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: a23de74b3fc0811d9e81c7f4156d325943ba3c70bc46940f1381db9294b0afe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d85af9e6bce9b65a8dd9619646f13e0711d2478a7de757a7ebca1d9a55e627f",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-12-02T20:40:44Z",
    "title_canon_sha256": "9c1e9c780d711154b44faae60f7a246b58346585d5c8943334dcc499502b09e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0586",
    "kind": "arxiv",
    "version": 2
  }
}