Pith Number

pith:4IGQSKHQ

pith:2013:4IGQSKHQUXLXGN7HWCXUUTUNGF

not attested not anchored not stored refs pending

The Geometry and Arithmetic of Kleinian Groups

Gaven J. Martin

arxiv:1311.2636 v1 · 2013-11-11 · math.CV · 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{4IGQSKHQUXLXGN7HWCXUUTUNGF}

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	2026-05-18T03:07:22.292203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e20d0928f0a5d77337e7b0af4a4e8d316121f08fae196e94cf4c445208988e2d

Aliases

arxiv: 1311.2636 · arxiv_version: 1311.2636v1 · doi: 10.48550/arxiv.1311.2636 · pith_short_12: 4IGQSKHQUXLX · pith_short_16: 4IGQSKHQUXLXGN7H · pith_short_8: 4IGQSKHQ

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/4IGQSKHQUXLXGN7HWCXUUTUNGF \
  | 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: e20d0928f0a5d77337e7b0af4a4e8d316121f08fae196e94cf4c445208988e2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b9fd42635b8e8b47ac17d8fbfb17ac173929a0d486262c3e361a0706a6df4f6",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-11-11T22:37:22Z",
    "title_canon_sha256": "7072a173d8115fef1a5eef3897cfa7ff8fe296e703a66cae24f182ddb235127c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2636",
    "kind": "arxiv",
    "version": 1
  }
}