Pith Number

pith:3LWS4THS

pith:2012:3LWS4THSEDDJ5YNAUZRTEJ4RY2

not attested not anchored not stored refs pending

On the limit set of a geometrically infinite Kleinian group

Woojin Jeon

arxiv:1209.3919 v4 · 2012-09-18 · 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{3LWS4THSEDDJ5YNAUZRTEJ4RY2}

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	2026-05-18T03:27:03.319341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daed2e4cf220c69ee1a0a663322791c68cbeb423bc4f46983836d1dff815808f

Aliases

arxiv: 1209.3919 · arxiv_version: 1209.3919v4 · doi: 10.48550/arxiv.1209.3919 · pith_short_12: 3LWS4THSEDDJ · pith_short_16: 3LWS4THSEDDJ5YNA · pith_short_8: 3LWS4THS

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/3LWS4THSEDDJ5YNAUZRTEJ4RY2 \
  | 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: daed2e4cf220c69ee1a0a663322791c68cbeb423bc4f46983836d1dff815808f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00fbde76deacba381f5a36570d54aa724d509f7fd6f919dad27981b09ba889d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-09-18T12:12:23Z",
    "title_canon_sha256": "7b1b13aaca3e29c41f26090d9f55f4211f764858ab0c15ba54274d92dbaacce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3919",
    "kind": "arxiv",
    "version": 4
  }
}