Pith Number

pith:5G2YTKIC

pith:2017:5G2YTKICDZFYG55CNYISVSDGIJ

not attested not anchored not stored refs pending

A positive proportion of elements of mapping class groups is pseudo-Anosov

Bert Wiest, Mar\'ia Cumplido

arxiv:1703.05044 v2 · 2017-03-15 · 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{5G2YTKICDZFYG55CNYISVSDGIJ}

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	2026-05-18T00:19:30.875276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9b589a9021e4b8377a26e112ac8664279550c0f537b983f1ab1ae86461c2c73

Aliases

arxiv: 1703.05044 · arxiv_version: 1703.05044v2 · doi: 10.48550/arxiv.1703.05044 · pith_short_12: 5G2YTKICDZFY · pith_short_16: 5G2YTKICDZFYG55C · pith_short_8: 5G2YTKIC

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/5G2YTKICDZFYG55CNYISVSDGIJ \
  | 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: e9b589a9021e4b8377a26e112ac8664279550c0f537b983f1ab1ae86461c2c73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a35a9d140960be88084d394136ee9e9f89cf0af387bf92a154bafc76d1e70bd",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-15T09:35:24Z",
    "title_canon_sha256": "24e44908f1610a4a8700bc6466a5579861bc4c236bbf8df71fa5c938891566e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05044",
    "kind": "arxiv",
    "version": 2
  }
}