Pith Number

pith:L66XYM6R

pith:2018:L66XYM6R7WA4OXYXJXSSUHKHW3

not attested not anchored not stored refs pending

On horospheric limit sets of Kleinian groups

Katsuhiko Matsuzaki, Kurt Falk

arxiv:1806.01205 v1 · 2018-06-04 · math.CV · 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{L66XYM6R7WA4OXYXJXSSUHKHW3}

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	2026-05-18T00:14:17.117998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fbd7c33d1fd81c75f174de52a1d47b6db8afa282ca68ed0ae34fe922ee612f4

Aliases

arxiv: 1806.01205 · arxiv_version: 1806.01205v1 · doi: 10.48550/arxiv.1806.01205 · pith_short_12: L66XYM6R7WA4 · pith_short_16: L66XYM6R7WA4OXYX · pith_short_8: L66XYM6R

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/L66XYM6R7WA4OXYXJXSSUHKHW3 \
  | 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: 5fbd7c33d1fd81c75f174de52a1d47b6db8afa282ca68ed0ae34fe922ee612f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a91e6f664f3c64755aab57acedfa8180f657dc233cb92fd83cbec3c4b17c0e0d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-06-04T16:47:28Z",
    "title_canon_sha256": "dd6be3fcf6dba663755954a0fa53d4a5ae14feeb36ecdadc184a4da5adb395b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01205",
    "kind": "arxiv",
    "version": 1
  }
}