Pith Number

pith:BR7BAPWB

pith:2009:BR7BAPWBBQ5NMN7KED6U6BY4A7

not attested not anchored not stored refs pending

On the minimum dilatation of pseudo-Anosov homeomorphisms on surfaces of small genus

Erwan Lanneau, Jean-Luc Thiffeault

arxiv:0905.1302 v3 · 2009-05-08 · 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{BR7BAPWBBQ5NMN7KED6U6BY4A7}

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	2026-05-18T04:19:33.618975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c7e103ec10c3ad637ea20fd4f071c07c740e2e537069f24f3b0a32a19115a08

Aliases

arxiv: 0905.1302 · arxiv_version: 0905.1302v3 · doi: 10.48550/arxiv.0905.1302 · pith_short_12: BR7BAPWBBQ5N · pith_short_16: BR7BAPWBBQ5NMN7K · pith_short_8: BR7BAPWB

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/BR7BAPWBBQ5NMN7KED6U6BY4A7 \
  | 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: 0c7e103ec10c3ad637ea20fd4f071c07c740e2e537069f24f3b0a32a19115a08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc4a61bb08b6983f78f7c515efbdddedf1b33187779226ea1989d7b9bfe48a0f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-05-08T17:24:29Z",
    "title_canon_sha256": "0271c0fb3e5c4de56836bcf3383b2fcaab2ecf6fdb02c7168a106fd6994199c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1302",
    "kind": "arxiv",
    "version": 3
  }
}