Pith Number

pith:KU664DA7

pith:2009:KU664DA7RRGPRABV4OD4BBPZJP

not attested not anchored not stored refs pending

Kazhdan quotients of Golod-Shafarevich groups

Andrei Jaikin-Zapirain, Mikhail Ershov

arxiv:0908.3734 v2 · 2009-08-26 · 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{KU664DA7RRGPRABV4OD4BBPZJP}

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	2026-05-18T04:17:04.653868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

553dee0c1f8c4cf88035e387c085f94bef0786e111d1a28c9bdd2c665a664801

Aliases

arxiv: 0908.3734 · arxiv_version: 0908.3734v2 · doi: 10.48550/arxiv.0908.3734 · pith_short_12: KU664DA7RRGP · pith_short_16: KU664DA7RRGPRABV · pith_short_8: KU664DA7

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/KU664DA7RRGPRABV4OD4BBPZJP \
  | 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: 553dee0c1f8c4cf88035e387c085f94bef0786e111d1a28c9bdd2c665a664801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a938d1d13e0b30f71b970451f9d63c17eaf5575f7ab8b7c30843821416463d01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-08-26T06:38:51Z",
    "title_canon_sha256": "1b9c5d373545d75244a8d3d508d0be9b51c59fa802915325e11b0098749a93f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3734",
    "kind": "arxiv",
    "version": 2
  }
}