{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:CJNLYDJ23KNY2SWGLLYRUKR42I","short_pith_number":"pith:CJNLYDJ2","schema_version":"1.0","canonical_sha256":"125abc0d3ada9b8d4ac65af11a2a3cd21ee9bd95403d7611a7f6a4aac3e83ec9","source":{"kind":"arxiv","id":"1108.3241","version":1},"attestation_state":"computed","paper":{"title":"The symplectic representation of the mapping class group is unique","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Mustafa Korkmaz","submitted_at":"2011-08-16T14:03:13Z","abstract_excerpt":"Any nontrivial homomorphism from the mapping class group of an orientable surface of genus $g\\geq 3$ to $\\GL(2g,\\C)$ is conjugate to the standard symplectic representation. It is also shown that the mapping class group has no faithful linear representation in dimensions less than or equal to $3g-3$."},"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":"1108.3241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-08-16T14:03:13Z","cross_cats_sorted":[],"title_canon_sha256":"535424a80bef8dd9d82ee2e63e1838cec4debe3cc5bd8d5e9fce17ea76cbba7a","abstract_canon_sha256":"2ba7ba1194fcc4dc75154bb4a4843754e732ebcfc1b94f237308578fda549e2d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:27.708068Z","signature_b64":"sPy/C9FBCCMUqcxU7r1gAGILB93sATZKoUdpK4LBSoYW8CFLKXwbOL4wSvZQbdrO2Cq+1HsJq5at9mnVqM1QDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"125abc0d3ada9b8d4ac65af11a2a3cd21ee9bd95403d7611a7f6a4aac3e83ec9","last_reissued_at":"2026-05-18T04:15:27.707699Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:27.707699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The symplectic representation of the mapping class group is unique","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Mustafa Korkmaz","submitted_at":"2011-08-16T14:03:13Z","abstract_excerpt":"Any nontrivial homomorphism from the mapping class group of an orientable surface of genus $g\\geq 3$ to $\\GL(2g,\\C)$ is conjugate to the standard symplectic representation. It is also shown that the mapping class group has no faithful linear representation in dimensions less than or equal to $3g-3$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3241","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":"1108.3241","created_at":"2026-05-18T04:15:27.707757+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.3241v1","created_at":"2026-05-18T04:15:27.707757+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3241","created_at":"2026-05-18T04:15:27.707757+00:00"},{"alias_kind":"pith_short_12","alias_value":"CJNLYDJ23KNY","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"CJNLYDJ23KNY2SWG","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"CJNLYDJ2","created_at":"2026-05-18T12:26:26.731475+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/CJNLYDJ23KNY2SWGLLYRUKR42I","json":"https://pith.science/pith/CJNLYDJ23KNY2SWGLLYRUKR42I.json","graph_json":"https://pith.science/api/pith-number/CJNLYDJ23KNY2SWGLLYRUKR42I/graph.json","events_json":"https://pith.science/api/pith-number/CJNLYDJ23KNY2SWGLLYRUKR42I/events.json","paper":"https://pith.science/paper/CJNLYDJ2"},"agent_actions":{"view_html":"https://pith.science/pith/CJNLYDJ23KNY2SWGLLYRUKR42I","download_json":"https://pith.science/pith/CJNLYDJ23KNY2SWGLLYRUKR42I.json","view_paper":"https://pith.science/paper/CJNLYDJ2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.3241&json=true","fetch_graph":"https://pith.science/api/pith-number/CJNLYDJ23KNY2SWGLLYRUKR42I/graph.json","fetch_events":"https://pith.science/api/pith-number/CJNLYDJ23KNY2SWGLLYRUKR42I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CJNLYDJ23KNY2SWGLLYRUKR42I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CJNLYDJ23KNY2SWGLLYRUKR42I/action/storage_attestation","attest_author":"https://pith.science/pith/CJNLYDJ23KNY2SWGLLYRUKR42I/action/author_attestation","sign_citation":"https://pith.science/pith/CJNLYDJ23KNY2SWGLLYRUKR42I/action/citation_signature","submit_replication":"https://pith.science/pith/CJNLYDJ23KNY2SWGLLYRUKR42I/action/replication_record"}},"created_at":"2026-05-18T04:15:27.707757+00:00","updated_at":"2026-05-18T04:15:27.707757+00:00"}