{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:HUGTCIL5PKWZJYLWOFKQYFB27L","short_pith_number":"pith:HUGTCIL5","schema_version":"1.0","canonical_sha256":"3d0d31217d7aad94e17671550c143afac40707047960c28dc0a2af7e89d306b7","source":{"kind":"arxiv","id":"1407.5755","version":1},"attestation_state":"computed","paper":{"title":"Actions of mapping class groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Athanase Papadopoulos (IRMA)","submitted_at":"2014-07-22T06:44:41Z","abstract_excerpt":"This paper has three parts. The first part is a general introduction to rigidity and to rigid actions of mapping class group actions on various spaces. In the second part, we describe in detail four rigidity results that concern actions of mapping class groups on spaces of foliations and of laminations, namely, Thurston's sphere of projective foliations equipped with its projective piecewise-linear structure, the space of unmeasured foliations equipped with the quotient topology, the reduced Bers boundary, and the space of geodesic laminations equipped with the Thurston topology. In the third "},"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":"1407.5755","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-07-22T06:44:41Z","cross_cats_sorted":[],"title_canon_sha256":"99c41eae6cda945342fc708677708d7b4b69b4272d63d91752fc2503f22e90c9","abstract_canon_sha256":"c04281e3e03eaf7df84c2622808be9d5a2ce1091771bf1155fc333aee7b51eb4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:06.692710Z","signature_b64":"Xk47sOp4nGjlQxanqFYUbEpkcBIcQ1ARNHPgkd8EXl/ijI6DK+VEXIrmk0m6ewGuZQGIFQ1Ai2OA0jyVgynuBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d0d31217d7aad94e17671550c143afac40707047960c28dc0a2af7e89d306b7","last_reissued_at":"2026-05-18T02:47:06.692342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:06.692342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Actions of mapping class groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Athanase Papadopoulos (IRMA)","submitted_at":"2014-07-22T06:44:41Z","abstract_excerpt":"This paper has three parts. The first part is a general introduction to rigidity and to rigid actions of mapping class group actions on various spaces. In the second part, we describe in detail four rigidity results that concern actions of mapping class groups on spaces of foliations and of laminations, namely, Thurston's sphere of projective foliations equipped with its projective piecewise-linear structure, the space of unmeasured foliations equipped with the quotient topology, the reduced Bers boundary, and the space of geodesic laminations equipped with the Thurston topology. In the third "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5755","kind":"arxiv","version":1},"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":"1407.5755","created_at":"2026-05-18T02:47:06.692398+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.5755v1","created_at":"2026-05-18T02:47:06.692398+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5755","created_at":"2026-05-18T02:47:06.692398+00:00"},{"alias_kind":"pith_short_12","alias_value":"HUGTCIL5PKWZ","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"HUGTCIL5PKWZJYLW","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"HUGTCIL5","created_at":"2026-05-18T12:28:30.664211+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/HUGTCIL5PKWZJYLWOFKQYFB27L","json":"https://pith.science/pith/HUGTCIL5PKWZJYLWOFKQYFB27L.json","graph_json":"https://pith.science/api/pith-number/HUGTCIL5PKWZJYLWOFKQYFB27L/graph.json","events_json":"https://pith.science/api/pith-number/HUGTCIL5PKWZJYLWOFKQYFB27L/events.json","paper":"https://pith.science/paper/HUGTCIL5"},"agent_actions":{"view_html":"https://pith.science/pith/HUGTCIL5PKWZJYLWOFKQYFB27L","download_json":"https://pith.science/pith/HUGTCIL5PKWZJYLWOFKQYFB27L.json","view_paper":"https://pith.science/paper/HUGTCIL5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.5755&json=true","fetch_graph":"https://pith.science/api/pith-number/HUGTCIL5PKWZJYLWOFKQYFB27L/graph.json","fetch_events":"https://pith.science/api/pith-number/HUGTCIL5PKWZJYLWOFKQYFB27L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HUGTCIL5PKWZJYLWOFKQYFB27L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HUGTCIL5PKWZJYLWOFKQYFB27L/action/storage_attestation","attest_author":"https://pith.science/pith/HUGTCIL5PKWZJYLWOFKQYFB27L/action/author_attestation","sign_citation":"https://pith.science/pith/HUGTCIL5PKWZJYLWOFKQYFB27L/action/citation_signature","submit_replication":"https://pith.science/pith/HUGTCIL5PKWZJYLWOFKQYFB27L/action/replication_record"}},"created_at":"2026-05-18T02:47:06.692398+00:00","updated_at":"2026-05-18T02:47:06.692398+00:00"}