Pith Number

pith:JCIWTXC3

pith:2013:JCIWTXC3A4OK66R7WVVSDVC5BV

not attested not anchored not stored refs pending

Conical limit sets of hyperbolic subgroups

Ken'ichi Ohshika, Woojin Jeon

arxiv:1301.3229 v2 · 2013-01-15 · 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{JCIWTXC3A4OK66R7WVVSDVC5BV}

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	2026-05-18T03:15:20.823609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

489169dc5b071caf7a3fb56b21d45d0d6c83ef4213fef19b131876528028cae3

Aliases

arxiv: 1301.3229 · arxiv_version: 1301.3229v2 · doi: 10.48550/arxiv.1301.3229 · pith_short_12: JCIWTXC3A4OK · pith_short_16: JCIWTXC3A4OK66R7 · pith_short_8: JCIWTXC3

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/JCIWTXC3A4OK66R7WVVSDVC5BV \
  | 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: 489169dc5b071caf7a3fb56b21d45d0d6c83ef4213fef19b131876528028cae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cad202a8f6770a4743ede16e30a5fb6e09cbabe0843952740e7b3a59e211b7b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-15T05:22:20Z",
    "title_canon_sha256": "7a49434a43f257ac84a69f30bb2f7147ed638ed5b6ae8e50057cfc3950b328ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3229",
    "kind": "arxiv",
    "version": 2
  }
}