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This paper concerns the pseudo-Anosovs which occur as the monodromies on closed fibers for Dehn fillings of $N(r)$ for each $r \\in \\{-3/2, -1/2, 2\\}$ of the magic manifold $N$. The manifold $N(-3/2)$ is homeomorphic to the Whitehead sister link exterior.\n  We consider the set $\\Lambda_g(r)$ (resp. $\\Lambda_g^+(r)$) which consists of the dilatations of all monodromies (resp. m"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1003.0545","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-03-02T10:23:29Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"30136a6a5ea211b7415d01a55e5f3521d64652ed7a5211bb5697586aa9250bfa","abstract_canon_sha256":"775a0193596281e1c5a5c3ea8e17cd9fdc3d5d180c75058ad944d8cab574b27a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:51.891333Z","signature_b64":"o1AtwhKVNpxzDLmUFFGrjsg27HrcrHtJGb64PZ3rZq88GCBftPFWrAk9Ph6TRKBvdlyZHOXmVS0EncfHoSZvCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e96288af9bbdaa266753b1627efd6045381d02739dd658f3b8aee37df592241b","last_reissued_at":"2026-05-18T04:11:51.890560Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:51.890560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pseudo-Anosovs on closed surfaces having small entropy and the Whitehead sister link exterior","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GT","authors_text":"Eiko Kin, Mitsuhiko Takasawa","submitted_at":"2010-03-02T10:23:29Z","abstract_excerpt":"Let $\\delta_g$ be the minimal dilatation for pseudo-Anosovs on a closed surface $\\Sigma_g$ of genus $g$ and let $\\delta_g^+$ be the minimal dilatation for pseudo-Anosovs on $\\Sigma_g$ with orientable invariant foliations. 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The manifold $N(-3/2)$ is homeomorphic to the Whitehead sister link exterior.\n  We consider the set $\\Lambda_g(r)$ (resp. $\\Lambda_g^+(r)$) which consists of the dilatations of all monodromies (resp. m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.0545","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1003.0545","created_at":"2026-05-18T04:11:51.890680+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.0545v2","created_at":"2026-05-18T04:11:51.890680+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.0545","created_at":"2026-05-18T04:11:51.890680+00:00"},{"alias_kind":"pith_short_12","alias_value":"5FRIRL43XWVC","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"5FRIRL43XWVCMZ2T","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"5FRIRL43","created_at":"2026-05-18T12:26:04.259169+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5FRIRL43XWVCMZ2TWFRH57LAIU","json":"https://pith.science/pith/5FRIRL43XWVCMZ2TWFRH57LAIU.json","graph_json":"https://pith.science/api/pith-number/5FRIRL43XWVCMZ2TWFRH57LAIU/graph.json","events_json":"https://pith.science/api/pith-number/5FRIRL43XWVCMZ2TWFRH57LAIU/events.json","paper":"https://pith.science/paper/5FRIRL43"},"agent_actions":{"view_html":"https://pith.science/pith/5FRIRL43XWVCMZ2TWFRH57LAIU","download_json":"https://pith.science/pith/5FRIRL43XWVCMZ2TWFRH57LAIU.json","view_paper":"https://pith.science/paper/5FRIRL43","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.0545&json=true","fetch_graph":"https://pith.science/api/pith-number/5FRIRL43XWVCMZ2TWFRH57LAIU/graph.json","fetch_events":"https://pith.science/api/pith-number/5FRIRL43XWVCMZ2TWFRH57LAIU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5FRIRL43XWVCMZ2TWFRH57LAIU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5FRIRL43XWVCMZ2TWFRH57LAIU/action/storage_attestation","attest_author":"https://pith.science/pith/5FRIRL43XWVCMZ2TWFRH57LAIU/action/author_attestation","sign_citation":"https://pith.science/pith/5FRIRL43XWVCMZ2TWFRH57LAIU/action/citation_signature","submit_replication":"https://pith.science/pith/5FRIRL43XWVCMZ2TWFRH57LAIU/action/replication_record"}},"created_at":"2026-05-18T04:11:51.890680+00:00","updated_at":"2026-05-18T04:11:51.890680+00:00"}