Pith Number

pith:MWLUVV2C

pith:2014:MWLUVV2CXMR3XPZIOJKV4AHWQT

not attested not anchored not stored refs pending

Measurable Rigidity for Kleinian groups

Ken'ichi Ohshika, Woojin Jeon

arxiv:1406.4594 v1 · 2014-06-18 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWLUVV2CXMR3XPZIOJKV4AHWQT}

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	2026-05-18T02:49:31.188792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65974ad742bb23bbbf2872555e00f684ce0e91a53665d27d2583d8b461ef836e

Aliases

arxiv: 1406.4594 · arxiv_version: 1406.4594v1 · doi: 10.48550/arxiv.1406.4594 · pith_short_12: MWLUVV2CXMR3 · pith_short_16: MWLUVV2CXMR3XPZI · pith_short_8: MWLUVV2C

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/MWLUVV2CXMR3XPZIOJKV4AHWQT \
  | 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: 65974ad742bb23bbbf2872555e00f684ce0e91a53665d27d2583d8b461ef836e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b900ba0067ffc75bceb737898c7b275c9c44e5fec0047b6b56b6b71b3e244a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-06-18T04:51:50Z",
    "title_canon_sha256": "896d438d3b24a00cdf89592a71d8cc73eabc1143ec920b2b506013d84acf04f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4594",
    "kind": "arxiv",
    "version": 1
  }
}