Pith Number

pith:BSWCLX3V

pith:1991:BSWCLX3VAKRIPII7D7MCO35PPQ

not attested not anchored not stored refs pending

Geometric finiteness and uniqueness for Kleinian groups with circle packing limit sets

Bernard Maskit, Caroline Series, Linda Keen

arxiv:math/9201299 v1 · 1991-12-11 · math.DG · 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{BSWCLX3VAKRIPII7D7MCO35PPQ}

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	2026-05-18T01:05:54.499182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cac25df7502a287a11f1fd8276faf7c20808bd9be6e591ebf55d8300f074ca8

Aliases

arxiv: math/9201299 · arxiv_version: math/9201299v1 · doi: 10.48550/arxiv.math/9201299 · pith_short_12: BSWCLX3VAKRI · pith_short_16: BSWCLX3VAKRIPII7 · pith_short_8: BSWCLX3V

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/BSWCLX3VAKRIPII7D7MCO35PPQ \
  | 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: 0cac25df7502a287a11f1fd8276faf7c20808bd9be6e591ebf55d8300f074ca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a1b6ecdd97cd9c672009fc3fb7f26f3337594056d54fa52bb11863fafc281bb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1991-12-11T00:00:00Z",
    "title_canon_sha256": "08940ab93036a0b20dd359a2b036cca7d7112a3828e5e36bca4ec47dc7105d2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9201299",
    "kind": "arxiv",
    "version": 1
  }
}