Pith Number

pith:JIK5VSR6

pith:2018:JIK5VSR6UWAAWO5WCRJ5HKGITD

not attested not anchored not stored refs pending

Random Kleinian Groups, II : Two parabolic generators

Gaven Martin, Graeme O'Brien, Yasushi Yamashita

arxiv:1801.01167 v1 · 2018-01-03 · 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{JIK5VSR6UWAAWO5WCRJ5HKGITD}

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	2026-05-18T00:26:42.937463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a15daca3ea5800b3bb61453d3a8c898dacd7ee3a7b62f13e89870ea7fe1b586

Aliases

arxiv: 1801.01167 · arxiv_version: 1801.01167v1 · doi: 10.48550/arxiv.1801.01167 · pith_short_12: JIK5VSR6UWAA · pith_short_16: JIK5VSR6UWAAWO5W · pith_short_8: JIK5VSR6

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/JIK5VSR6UWAAWO5WCRJ5HKGITD \
  | 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: 4a15daca3ea5800b3bb61453d3a8c898dacd7ee3a7b62f13e89870ea7fe1b586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98115c49f51634bbdaffaeaab5758bf0ab1a3b9f1984dcaca931fc2311fc9817",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-01-03T20:56:38Z",
    "title_canon_sha256": "2bade1dea099c8ead327d78a23e608e219bbc2b533700c49bebbcff37f1acb93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01167",
    "kind": "arxiv",
    "version": 1
  }
}