{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QFMFMFDZ6IMAC5Z2FMJLTIJHYF","short_pith_number":"pith:QFMFMFDZ","schema_version":"1.0","canonical_sha256":"8158561479f21801773a2b12b9a127c16ade59cd718bf6726d66c72fe02906c3","source":{"kind":"arxiv","id":"1703.08968","version":3},"attestation_state":"computed","paper":{"title":"The normal closure of big Dehn twists, and plate spinning with rotating families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Fran\\c{c}ois Dahmani","submitted_at":"2017-03-27T08:24:35Z","abstract_excerpt":"We study the normal closure of a big power of one or several Dehn twists in a Mapping Class Group. We prove that it has a presentation whose relators consists only of commutators between twists of disjoint support, thus answering a question of Ivanov. Our method is to use the theory of projection complexes of Bestvina Bromberg and Fujiwara, together with the theory of rotating families, simultaneously on several spaces."},"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":"1703.08968","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-03-27T08:24:35Z","cross_cats_sorted":[],"title_canon_sha256":"24d78398b2eb318b842ea48c07df205107dfee43386d93c1d73970ebbc35ce14","abstract_canon_sha256":"e7cd1e39ad247c687697c184308c30f75da272cace8cfc4ed5600415035e695f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:43.195215Z","signature_b64":"PfSOEmMOodLB6SIKQjbH6jQC5H4Ptmm+F6sGJ/JWaoLpsGtWHI2S+8FKa941n4nDZ3WYP0hoQ5431PcUSdg+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8158561479f21801773a2b12b9a127c16ade59cd718bf6726d66c72fe02906c3","last_reissued_at":"2026-05-17T23:56:43.194815Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:43.194815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The normal closure of big Dehn twists, and plate spinning with rotating families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Fran\\c{c}ois Dahmani","submitted_at":"2017-03-27T08:24:35Z","abstract_excerpt":"We study the normal closure of a big power of one or several Dehn twists in a Mapping Class Group. We prove that it has a presentation whose relators consists only of commutators between twists of disjoint support, thus answering a question of Ivanov. Our method is to use the theory of projection complexes of Bestvina Bromberg and Fujiwara, together with the theory of rotating families, simultaneously on several spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08968","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":"1703.08968","created_at":"2026-05-17T23:56:43.194876+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.08968v3","created_at":"2026-05-17T23:56:43.194876+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08968","created_at":"2026-05-17T23:56:43.194876+00:00"},{"alias_kind":"pith_short_12","alias_value":"QFMFMFDZ6IMA","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"QFMFMFDZ6IMAC5Z2","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"QFMFMFDZ","created_at":"2026-05-18T12:31:37.085036+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/QFMFMFDZ6IMAC5Z2FMJLTIJHYF","json":"https://pith.science/pith/QFMFMFDZ6IMAC5Z2FMJLTIJHYF.json","graph_json":"https://pith.science/api/pith-number/QFMFMFDZ6IMAC5Z2FMJLTIJHYF/graph.json","events_json":"https://pith.science/api/pith-number/QFMFMFDZ6IMAC5Z2FMJLTIJHYF/events.json","paper":"https://pith.science/paper/QFMFMFDZ"},"agent_actions":{"view_html":"https://pith.science/pith/QFMFMFDZ6IMAC5Z2FMJLTIJHYF","download_json":"https://pith.science/pith/QFMFMFDZ6IMAC5Z2FMJLTIJHYF.json","view_paper":"https://pith.science/paper/QFMFMFDZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.08968&json=true","fetch_graph":"https://pith.science/api/pith-number/QFMFMFDZ6IMAC5Z2FMJLTIJHYF/graph.json","fetch_events":"https://pith.science/api/pith-number/QFMFMFDZ6IMAC5Z2FMJLTIJHYF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QFMFMFDZ6IMAC5Z2FMJLTIJHYF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QFMFMFDZ6IMAC5Z2FMJLTIJHYF/action/storage_attestation","attest_author":"https://pith.science/pith/QFMFMFDZ6IMAC5Z2FMJLTIJHYF/action/author_attestation","sign_citation":"https://pith.science/pith/QFMFMFDZ6IMAC5Z2FMJLTIJHYF/action/citation_signature","submit_replication":"https://pith.science/pith/QFMFMFDZ6IMAC5Z2FMJLTIJHYF/action/replication_record"}},"created_at":"2026-05-17T23:56:43.194876+00:00","updated_at":"2026-05-17T23:56:43.194876+00:00"}