Pith Number

pith:6YDOSVYW

pith:2013:6YDOSVYW6BJQUEO7UTC6YDMMEF

not attested not anchored not stored refs pending

Extensions of amenable groups by recurrent groupoids

Kate Juschenko, Mikael de la Salle, Volodymyr Nekrashevych

arxiv:1305.2637 v2 · 2013-05-12 · math.GR · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6YDOSVYW6BJQUEO7UTC6YDMMEF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:33:44.456702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f606e95716f0530a11dfa4c5ec0d8c2163e04eb8adcc36d423613a48133e2dc4

Aliases

arxiv: 1305.2637 · arxiv_version: 1305.2637v2 · doi: 10.48550/arxiv.1305.2637 · pith_short_12: 6YDOSVYW6BJQ · pith_short_16: 6YDOSVYW6BJQUEO7 · pith_short_8: 6YDOSVYW

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/6YDOSVYW6BJQUEO7UTC6YDMMEF \
  | 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: f606e95716f0530a11dfa4c5ec0d8c2163e04eb8adcc36d423613a48133e2dc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "013a4de765968decdaf0be2e4fa04576d6e1f1500aecf152b62002e9b98a20b7",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-12T21:41:48Z",
    "title_canon_sha256": "7ab5d29945182b5101ad13a1705c4ad60976f7d7425a820156e4bad622c999c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2637",
    "kind": "arxiv",
    "version": 2
  }
}