Pith Number

pith:UIKWFZXH

pith:2017:UIKWFZXHFWSZBC7AVBI6XEXWON

not attested not anchored not stored refs pending

Random Kleinian Groups I: Random Fuchsian Groups

Gaven Martin, Graeme O'Brien

arxiv:1712.03602 v1 · 2017-12-10 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UIKWFZXHFWSZBC7AVBI6XEXWON}

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	2026-05-18T00:28:20.627020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a21562e6e72da5908be0a851eb92f6737ce470caabd2b8add209cad2be7f9212

Aliases

arxiv: 1712.03602 · arxiv_version: 1712.03602v1 · doi: 10.48550/arxiv.1712.03602 · pith_short_12: UIKWFZXHFWSZ · pith_short_16: UIKWFZXHFWSZBC7A · pith_short_8: UIKWFZXH

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/UIKWFZXHFWSZBC7AVBI6XEXWON \
  | 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: a21562e6e72da5908be0a851eb92f6737ce470caabd2b8add209cad2be7f9212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c09831f876eaa7cb2450a4582a3365961a2b196a9b024c94afb253fbe94cc63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-12-10T22:32:06Z",
    "title_canon_sha256": "2a25456c86e195f1baef520046a426d1fef38a9a8aa8aa372fbf32b7e05ed54f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03602",
    "kind": "arxiv",
    "version": 1
  }
}