Pith Number

pith:5FRIRL43

pith:2010:5FRIRL43XWVCMZ2TWFRH57LAIU

not attested not anchored not stored refs pending

Pseudo-Anosovs on closed surfaces having small entropy and the Whitehead sister link exterior

Eiko Kin, Mitsuhiko Takasawa

arxiv:1003.0545 v2 · 2010-03-02 · 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{5FRIRL43XWVCMZ2TWFRH57LAIU}

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	2026-05-18T04:11:51.890560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e96288af9bbdaa266753b1627efd6045381d02739dd658f3b8aee37df592241b

Aliases

arxiv: 1003.0545 · arxiv_version: 1003.0545v2 · doi: 10.48550/arxiv.1003.0545 · pith_short_12: 5FRIRL43XWVC · pith_short_16: 5FRIRL43XWVCMZ2T · pith_short_8: 5FRIRL43

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/5FRIRL43XWVCMZ2TWFRH57LAIU \
  | 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: e96288af9bbdaa266753b1627efd6045381d02739dd658f3b8aee37df592241b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "775a0193596281e1c5a5c3ea8e17cd9fdc3d5d180c75058ad944d8cab574b27a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-03-02T10:23:29Z",
    "title_canon_sha256": "30136a6a5ea211b7415d01a55e5f3521d64652ed7a5211bb5697586aa9250bfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0545",
    "kind": "arxiv",
    "version": 2
  }
}