Pith Number

pith:ZAO7EWZG

pith:2017:ZAO7EWZGTXYC2KJOSB6FIT6KUH

not attested not anchored not stored refs pending

Gasch\"utz Lemma for Compact Groups

Tal Cohen, Tsachik Gelander

arxiv:1709.05151 v2 · 2017-09-15 · 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{ZAO7EWZGTXYC2KJOSB6FIT6KUH}

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	2026-05-18T00:28:52.750355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c81df25b269df02d292e907c544fcaa1dba96ebbac215db51f697ffef674b1f1

Aliases

arxiv: 1709.05151 · arxiv_version: 1709.05151v2 · doi: 10.48550/arxiv.1709.05151 · pith_short_12: ZAO7EWZGTXYC · pith_short_16: ZAO7EWZGTXYC2KJO · pith_short_8: ZAO7EWZG

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/ZAO7EWZGTXYC2KJOSB6FIT6KUH \
  | 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: c81df25b269df02d292e907c544fcaa1dba96ebbac215db51f697ffef674b1f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a3bbd2fdc3a3fd685ec48b6a578a22caa84dc5aa9fcd16d6a11b5964be7b1ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-15T11:02:40Z",
    "title_canon_sha256": "a77b9e6e996a9407fe98dcffee080cb3fccbb5ac31e3ce5d746fd6b74dd7ba9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05151",
    "kind": "arxiv",
    "version": 2
  }
}