Pith Number

pith:JRWYU4IO

pith:2005:JRWYU4IOZ3DSI32F7AJBWM3VR6

not attested not anchored not stored refs pending

The mapping class group from the viewpoint of measure equivalence theory

Yoshikata Kida

arxiv:math/0512230 v2 · 2005-12-12 · math.GR · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRWYU4IOZ3DSI32F7AJBWM3VR6}

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	2026-05-18T00:02:02.576754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c6d8a710ecec7246f45f8121b33758fac5b8b64cc33f48254781af9b6098694

Aliases

arxiv: math/0512230 · arxiv_version: math/0512230v2 · doi: 10.48550/arxiv.math/0512230 · pith_short_12: JRWYU4IOZ3DS · pith_short_16: JRWYU4IOZ3DSI32F · pith_short_8: JRWYU4IO

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/JRWYU4IOZ3DSI32F7AJBWM3VR6 \
  | 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: 4c6d8a710ecec7246f45f8121b33758fac5b8b64cc33f48254781af9b6098694

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8998fb5eb41fce336d352c2fdbc10bc69e05f4b1efadf37a7ede440d280e94f6",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-12-12T17:00:51Z",
    "title_canon_sha256": "bc852a70b8c5870ba9da5ea55abf8313d32fd61f6b3ca8b5a7b899ad74757f67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512230",
    "kind": "arxiv",
    "version": 2
  }
}