Pith Number

pith:LBM7OQFJ

pith:2010:LBM7OQFJBLAQI3R7RBTLOR6IGQ

not attested not anchored not stored refs pending

The Asymptotic distribution of circles in the orbits of Kleinian groups

Hee Oh, Nimish Shah

arxiv:1004.2130 v2 · 2010-04-13 · math.DS · 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{LBM7OQFJBLAQI3R7RBTLOR6IGQ}

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	2026-05-18T04:01:49.833333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5859f740a90ac1046e3f8866b747c8342a615d85dcd424657f629507289c0159

Aliases

arxiv: 1004.2130 · arxiv_version: 1004.2130v2 · doi: 10.48550/arxiv.1004.2130 · pith_short_12: LBM7OQFJBLAQ · pith_short_16: LBM7OQFJBLAQI3R7 · pith_short_8: LBM7OQFJ

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/LBM7OQFJBLAQI3R7RBTLOR6IGQ \
  | 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: 5859f740a90ac1046e3f8866b747c8342a615d85dcd424657f629507289c0159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fe8f1da35a234ac428474d65fe5594e5dc2fb9a62fa3a44719ac5c19c88ae25",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-04-13T09:30:07Z",
    "title_canon_sha256": "0d5a98497a35487b482a953faf668f807d7d8550e1d02dad43f5e0ccd7d64bb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2130",
    "kind": "arxiv",
    "version": 2
  }
}