{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:7WLKQRHBC4BHHXQD6UQD32TMQV","short_pith_number":"pith:7WLKQRHB","schema_version":"1.0","canonical_sha256":"fd96a844e1170273de03f5203dea6c8579cb3515201bc18290fece8b5e9a82cd","source":{"kind":"arxiv","id":"1101.5767","version":2},"attestation_state":"computed","paper":{"title":"Towards representation stability for the second homology of the Torelli group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AT","authors_text":"Mia Hauge Dollerup, S{\\o}ren K. Boldsen","submitted_at":"2011-01-30T13:17:29Z","abstract_excerpt":"We show for g > 6 that the second homology group of the Torelli group of a surface of genus g and 1 boundary component is generated as an Sp(2g,Z)-module by the image under the stabilization map of the second homology group of the Torelli group of a surface of genus 6 and 1 boundary component. In the process we also show that the quotient of the complex of arcs with identity permutation by the Torelli group is (g-2)-connected, for one or two boundary components."},"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":"1101.5767","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-01-30T13:17:29Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"071277c9be5db26bd58b6962674255c26d8e1ae9f55c182214c91b19a984ade1","abstract_canon_sha256":"5dec61ef27adbe315b42649e15219b3f6ae14654d379901a6848a03b262b4c85"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:05.101570Z","signature_b64":"WF1zWZx29DXv8sNzTOMQCVOLAVLb/vvNzaH/QXAuxFsv8/W0T7It7Pvz/L/t7TeOxLevFkM8dbjUTB3SagV+DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd96a844e1170273de03f5203dea6c8579cb3515201bc18290fece8b5e9a82cd","last_reissued_at":"2026-05-18T04:30:05.101064Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:05.101064Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Towards representation stability for the second homology of the Torelli group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AT","authors_text":"Mia Hauge Dollerup, S{\\o}ren K. Boldsen","submitted_at":"2011-01-30T13:17:29Z","abstract_excerpt":"We show for g > 6 that the second homology group of the Torelli group of a surface of genus g and 1 boundary component is generated as an Sp(2g,Z)-module by the image under the stabilization map of the second homology group of the Torelli group of a surface of genus 6 and 1 boundary component. In the process we also show that the quotient of the complex of arcs with identity permutation by the Torelli group is (g-2)-connected, for one or two boundary components."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5767","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":"1101.5767","created_at":"2026-05-18T04:30:05.101138+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.5767v2","created_at":"2026-05-18T04:30:05.101138+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5767","created_at":"2026-05-18T04:30:05.101138+00:00"},{"alias_kind":"pith_short_12","alias_value":"7WLKQRHBC4BH","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"7WLKQRHBC4BHHXQD","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"7WLKQRHB","created_at":"2026-05-18T12:26:22.705136+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.24733","citing_title":"Calculating the second rational cohomology group of the Torelli group","ref_index":2,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7WLKQRHBC4BHHXQD6UQD32TMQV","json":"https://pith.science/pith/7WLKQRHBC4BHHXQD6UQD32TMQV.json","graph_json":"https://pith.science/api/pith-number/7WLKQRHBC4BHHXQD6UQD32TMQV/graph.json","events_json":"https://pith.science/api/pith-number/7WLKQRHBC4BHHXQD6UQD32TMQV/events.json","paper":"https://pith.science/paper/7WLKQRHB"},"agent_actions":{"view_html":"https://pith.science/pith/7WLKQRHBC4BHHXQD6UQD32TMQV","download_json":"https://pith.science/pith/7WLKQRHBC4BHHXQD6UQD32TMQV.json","view_paper":"https://pith.science/paper/7WLKQRHB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.5767&json=true","fetch_graph":"https://pith.science/api/pith-number/7WLKQRHBC4BHHXQD6UQD32TMQV/graph.json","fetch_events":"https://pith.science/api/pith-number/7WLKQRHBC4BHHXQD6UQD32TMQV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7WLKQRHBC4BHHXQD6UQD32TMQV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7WLKQRHBC4BHHXQD6UQD32TMQV/action/storage_attestation","attest_author":"https://pith.science/pith/7WLKQRHBC4BHHXQD6UQD32TMQV/action/author_attestation","sign_citation":"https://pith.science/pith/7WLKQRHBC4BHHXQD6UQD32TMQV/action/citation_signature","submit_replication":"https://pith.science/pith/7WLKQRHBC4BHHXQD6UQD32TMQV/action/replication_record"}},"created_at":"2026-05-18T04:30:05.101138+00:00","updated_at":"2026-05-18T04:30:05.101138+00:00"}