Pith Number

pith:ABZIKQRO

pith:2006:ABZIKQROLH43S3WR4VGOBB53ZM

not attested not anchored not stored refs pending

Measure equivalence rigidity of the mapping class group

Yoshikata Kida

arxiv:math/0607600 v1 · 2006-07-24 · math.GR · 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{ABZIKQROLH43S3WR4VGOBB53ZM}

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	2026-05-18T02:28:13.758605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

007285422e59f9b96ed1e54ce087bbcb3d6eee926db1079163d02fb4f76ac7f2

Aliases

arxiv: math/0607600 · arxiv_version: math/0607600v1 · doi: 10.48550/arxiv.math/0607600 · pith_short_12: ABZIKQROLH43 · pith_short_16: ABZIKQROLH43S3WR · pith_short_8: ABZIKQRO

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/ABZIKQROLH43S3WR4VGOBB53ZM \
  | 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: 007285422e59f9b96ed1e54ce087bbcb3d6eee926db1079163d02fb4f76ac7f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96d2de8725bbdb4141bda2921e348ed718cf2157470affb002a2f5164dc3e0f2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-07-24T15:52:54Z",
    "title_canon_sha256": "73d55b0344f2239d1c47a1a14e87e29dd596711c930672998e5a0e65ac50edee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607600",
    "kind": "arxiv",
    "version": 1
  }
}