Pith Number

pith:2ZRJTXGG

pith:2016:2ZRJTXGGMSBPEY2T27BTBRNA7F

not attested not anchored not stored refs pending

Boundaries of Kleinian groups

Genevieve Walsh, Luisa Paoluzzi, Peter Ha\"issinsky

arxiv:1609.02377 v1 · 2016-09-08 · math.GT · 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{2ZRJTXGGMSBPEY2T27BTBRNA7F}

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.

Cited by

1 paper in Pith

On groups with Schottky set boundary

Receipt and verification

First computed	2026-05-17T23:54:41.954449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d66299dcc66482f26353d7c330c5a0f97e92832fe730a86d6a886b699ac5eba9

Aliases

arxiv: 1609.02377 · arxiv_version: 1609.02377v1 · doi: 10.48550/arxiv.1609.02377 · pith_short_12: 2ZRJTXGGMSBP · pith_short_16: 2ZRJTXGGMSBPEY2T · pith_short_8: 2ZRJTXGG

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/2ZRJTXGGMSBPEY2T27BTBRNA7F \
  | 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: d66299dcc66482f26353d7c330c5a0f97e92832fe730a86d6a886b699ac5eba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f85c847f52a590943a28a902930c4f8d577ce4e2bcfe4e557b2828aa5b7e84a8",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-09-08T11:23:46Z",
    "title_canon_sha256": "a7188cf2b443b3a732448a59476e0afdab5a8ee1a091ef4dc18a0e2476cfd731"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02377",
    "kind": "arxiv",
    "version": 1
  }
}