Pith Number

pith:6GKVBOFK

pith:2012:6GKVBOFKKPO457EFKBMZ6ABUTV

not attested not anchored not stored refs pending

A Lower Bound for the Exponent of Convergence of Normal Subgroups of Kleinian Groups

Johannes Jaerisch

arxiv:1203.3022 v2 · 2012-03-14 · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GKVBOFKKPO457EFKBMZ6ABUTV}

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	2026-05-18T01:27:16.196752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f19550b8aa53ddcefc8550599f00349d566667203a6af327fa3e20eb8cdfbbf9

Aliases

arxiv: 1203.3022 · arxiv_version: 1203.3022v2 · doi: 10.48550/arxiv.1203.3022 · pith_short_12: 6GKVBOFKKPO4 · pith_short_16: 6GKVBOFKKPO457EF · pith_short_8: 6GKVBOFK

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/6GKVBOFKKPO457EFKBMZ6ABUTV \
  | 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: f19550b8aa53ddcefc8550599f00349d566667203a6af327fa3e20eb8cdfbbf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "218e9b1254fe1ae28deb5b3f9e9fab4c1b974279f2b01784316c5b25c089e536",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-03-14T08:50:35Z",
    "title_canon_sha256": "ed599495e04292609265f0da3ee93703cab317a8b2346e8058c6a26bdf65f0b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3022",
    "kind": "arxiv",
    "version": 2
  }
}