Pith Number

pith:XOHLXLU5

pith:2016:XOHLXLU5IOE3MTDZOF76QZ2ORA

not attested not anchored not stored refs pending

A lower bound of the distortion of the Torelli group in the mapping class group with boundary components

Erika Kuno, Genki Omori

arxiv:1609.06811 v2 · 2016-09-22 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOHLXLU5IOE3MTDZOF76QZ2ORA}

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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	2026-05-18T00:52:22.763650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb8ebbae9d4389b64c79717fe8674e882afbe6f3347c393cfd552914ad3d5ca8

Aliases

arxiv: 1609.06811 · arxiv_version: 1609.06811v2 · doi: 10.48550/arxiv.1609.06811 · pith_short_12: XOHLXLU5IOE3 · pith_short_16: XOHLXLU5IOE3MTDZ · pith_short_8: XOHLXLU5

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/XOHLXLU5IOE3MTDZOF76QZ2ORA \
  | 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: bb8ebbae9d4389b64c79717fe8674e882afbe6f3347c393cfd552914ad3d5ca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d2740dc5a76b8755eb3c8949dedc76980a92db4b2ba82ae3823d425b08eb606",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-09-22T04:09:57Z",
    "title_canon_sha256": "91a5a338eee2420a72eed7c583a0719f369dc482f554169e0f51f340fe6cc03f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06811",
    "kind": "arxiv",
    "version": 2
  }
}