Pith Number

pith:NKQUALR5

pith:2014:NKQUALR5KGABUSSR7ME5XDDHXZ

not attested not anchored not stored refs pending

A characterization of complex hyperbolic Kleinian groups in dimension 3 with trace fields contained in $\mathbb R$

Joonhyung Kim, Sungwoon Kim

arxiv:1401.4244 v1 · 2014-01-17 · 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{NKQUALR5KGABUSSR7ME5XDDHXZ}

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	2026-05-18T03:01:55.615119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa1402e3d51801a4a51fb09db8c67be4c20bfecd05ed3f7403abf574c33d779

Aliases

arxiv: 1401.4244 · arxiv_version: 1401.4244v1 · doi: 10.48550/arxiv.1401.4244 · pith_short_12: NKQUALR5KGAB · pith_short_16: NKQUALR5KGABUSSR · pith_short_8: NKQUALR5

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/NKQUALR5KGABUSSR7ME5XDDHXZ \
  | 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: 6aa1402e3d51801a4a51fb09db8c67be4c20bfecd05ed3f7403abf574c33d779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f26776096c4ec3387111ae06b9e137c41794e5ab4bead03ada01087ea12fc16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-01-17T05:52:46Z",
    "title_canon_sha256": "a93e96fcf42686346efbe5d5fa1fafd8dc1de19574327d7e30e18d99264ed981"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4244",
    "kind": "arxiv",
    "version": 1
  }
}