{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:XJZV56UVY2UE3CYY3PBOXTXQT2","short_pith_number":"pith:XJZV56UV","schema_version":"1.0","canonical_sha256":"ba735efa95c6a84d8b18dbc2ebcef09ebbe345a4a9c22d6ea36c61146827ef9d","source":{"kind":"arxiv","id":"1104.3939","version":3},"attestation_state":"computed","paper":{"title":"Minimal dilatations of pseudo-Anosovs generated by the magic 3-manifold and their asymptotic behavior","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GT","authors_text":"Eiko Kin, Mitsuhiko Takasawa, Sadayoshi Kojima","submitted_at":"2011-04-20T05:16:54Z","abstract_excerpt":"This paper concerns the set $\\hat{\\mathcal{M}}$ of pseudo-Anosovs which occur as monodromies of fibrations on manifolds obtained from the magic 3-manifold $N$ by Dehn filling three cusps with a mild restriction. We prove that for each $g$ (resp. $g \\not\\equiv 0 \\pmod{6}$), the minimum among dilatations of elements (resp. elements with orientable invariant foliations) of $\\hat{\\mathcal{M}}$ defined on a closed surface $\\varSigma_g$ of genus $g$ is achieved by the monodromy of some $\\varSigma_g$-bundle over the circle obtained from $N(\\tfrac{3}{-2})$ or $N(\\tfrac{1}{-2})$ by Dehn filling two cus"},"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":"1104.3939","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-04-20T05:16:54Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"acda8c65f919ba75e4275943c5b565027bccaa7889e811bfdf3e096bd1d0ac64","abstract_canon_sha256":"303bb016baff47a51cac26ca2a60ede7849f314b5490188f8e640a94dcfdfd2d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:50.531701Z","signature_b64":"Bnl4B+X2EX7TkPltWUtH7Fml+iCtDU0ui0tyHeDy7G+fvLY2am4lLoELjUhHVGnT6LxzrWD64YwoihC/1KaWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba735efa95c6a84d8b18dbc2ebcef09ebbe345a4a9c22d6ea36c61146827ef9d","last_reissued_at":"2026-05-18T02:41:50.531177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:50.531177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Minimal dilatations of pseudo-Anosovs generated by the magic 3-manifold and their asymptotic behavior","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GT","authors_text":"Eiko Kin, Mitsuhiko Takasawa, Sadayoshi Kojima","submitted_at":"2011-04-20T05:16:54Z","abstract_excerpt":"This paper concerns the set $\\hat{\\mathcal{M}}$ of pseudo-Anosovs which occur as monodromies of fibrations on manifolds obtained from the magic 3-manifold $N$ by Dehn filling three cusps with a mild restriction. We prove that for each $g$ (resp. $g \\not\\equiv 0 \\pmod{6}$), the minimum among dilatations of elements (resp. elements with orientable invariant foliations) of $\\hat{\\mathcal{M}}$ defined on a closed surface $\\varSigma_g$ of genus $g$ is achieved by the monodromy of some $\\varSigma_g$-bundle over the circle obtained from $N(\\tfrac{3}{-2})$ or $N(\\tfrac{1}{-2})$ by Dehn filling two cus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3939","kind":"arxiv","version":3},"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":"1104.3939","created_at":"2026-05-18T02:41:50.531248+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.3939v3","created_at":"2026-05-18T02:41:50.531248+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3939","created_at":"2026-05-18T02:41:50.531248+00:00"},{"alias_kind":"pith_short_12","alias_value":"XJZV56UVY2UE","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"XJZV56UVY2UE3CYY","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"XJZV56UV","created_at":"2026-05-18T12:26:47.523578+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/XJZV56UVY2UE3CYY3PBOXTXQT2","json":"https://pith.science/pith/XJZV56UVY2UE3CYY3PBOXTXQT2.json","graph_json":"https://pith.science/api/pith-number/XJZV56UVY2UE3CYY3PBOXTXQT2/graph.json","events_json":"https://pith.science/api/pith-number/XJZV56UVY2UE3CYY3PBOXTXQT2/events.json","paper":"https://pith.science/paper/XJZV56UV"},"agent_actions":{"view_html":"https://pith.science/pith/XJZV56UVY2UE3CYY3PBOXTXQT2","download_json":"https://pith.science/pith/XJZV56UVY2UE3CYY3PBOXTXQT2.json","view_paper":"https://pith.science/paper/XJZV56UV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.3939&json=true","fetch_graph":"https://pith.science/api/pith-number/XJZV56UVY2UE3CYY3PBOXTXQT2/graph.json","fetch_events":"https://pith.science/api/pith-number/XJZV56UVY2UE3CYY3PBOXTXQT2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XJZV56UVY2UE3CYY3PBOXTXQT2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XJZV56UVY2UE3CYY3PBOXTXQT2/action/storage_attestation","attest_author":"https://pith.science/pith/XJZV56UVY2UE3CYY3PBOXTXQT2/action/author_attestation","sign_citation":"https://pith.science/pith/XJZV56UVY2UE3CYY3PBOXTXQT2/action/citation_signature","submit_replication":"https://pith.science/pith/XJZV56UVY2UE3CYY3PBOXTXQT2/action/replication_record"}},"created_at":"2026-05-18T02:41:50.531248+00:00","updated_at":"2026-05-18T02:41:50.531248+00:00"}