{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:D6UHID7JGYZF7TR663KRBQ3B47","short_pith_number":"pith:D6UHID7J","schema_version":"1.0","canonical_sha256":"1fa8740fe936325fce3ef6d510c361e7df06f5d9c769be1d1f71041bbb292cda","source":{"kind":"arxiv","id":"1109.2359","version":1},"attestation_state":"computed","paper":{"title":"Weighted projective spaces and iterated Thom spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Anthony Bahri, Matthias Franz, Nigel Ray","submitted_at":"2011-09-11T22:44:40Z","abstract_excerpt":"For any (n+1)-dimensional weight vector {\\chi} of positive integers, the weighted projective space P(\\chi) is a projective toric variety, and has orbifold singularities in every case other than CP^n. We study the algebraic topology of P(\\chi), paying particular attention to its localisation at individual primes p. We identify certain p-primary weight vectors {\\pi} for which P(\\pi) is homeomorphic to an iterated Thom space over S^2, and discuss how any P(\\chi) may be reconstructed from its p-primary factors. We express Kawasaki's computations of the integral cohomology ring H^*(P(\\chi);Z) in te"},"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":"1109.2359","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-09-11T22:44:40Z","cross_cats_sorted":[],"title_canon_sha256":"4dc0e3fbcd0302aef45606ab393ccdb6a30f53adabe9ac581b08569f291a4374","abstract_canon_sha256":"3ac1c82c467ac7c8135dcff83f4e0bfa18bd9910353a4e5d6ba075a46dd8face"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:15.766350Z","signature_b64":"OpfRKGvwefheBLHAgU0abccgHzCF0mxO9kClgMaSf3lnitUm0CFGOYF29vXX6VqS7ybPdrNYSk1XGUMP3bxaCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1fa8740fe936325fce3ef6d510c361e7df06f5d9c769be1d1f71041bbb292cda","last_reissued_at":"2026-05-18T02:53:15.765684Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:15.765684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weighted projective spaces and iterated Thom spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Anthony Bahri, Matthias Franz, Nigel Ray","submitted_at":"2011-09-11T22:44:40Z","abstract_excerpt":"For any (n+1)-dimensional weight vector {\\chi} of positive integers, the weighted projective space P(\\chi) is a projective toric variety, and has orbifold singularities in every case other than CP^n. We study the algebraic topology of P(\\chi), paying particular attention to its localisation at individual primes p. We identify certain p-primary weight vectors {\\pi} for which P(\\pi) is homeomorphic to an iterated Thom space over S^2, and discuss how any P(\\chi) may be reconstructed from its p-primary factors. We express Kawasaki's computations of the integral cohomology ring H^*(P(\\chi);Z) in te"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2359","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":"1109.2359","created_at":"2026-05-18T02:53:15.765775+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.2359v1","created_at":"2026-05-18T02:53:15.765775+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2359","created_at":"2026-05-18T02:53:15.765775+00:00"},{"alias_kind":"pith_short_12","alias_value":"D6UHID7JGYZF","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"D6UHID7JGYZF7TR6","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"D6UHID7J","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/D6UHID7JGYZF7TR663KRBQ3B47","json":"https://pith.science/pith/D6UHID7JGYZF7TR663KRBQ3B47.json","graph_json":"https://pith.science/api/pith-number/D6UHID7JGYZF7TR663KRBQ3B47/graph.json","events_json":"https://pith.science/api/pith-number/D6UHID7JGYZF7TR663KRBQ3B47/events.json","paper":"https://pith.science/paper/D6UHID7J"},"agent_actions":{"view_html":"https://pith.science/pith/D6UHID7JGYZF7TR663KRBQ3B47","download_json":"https://pith.science/pith/D6UHID7JGYZF7TR663KRBQ3B47.json","view_paper":"https://pith.science/paper/D6UHID7J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.2359&json=true","fetch_graph":"https://pith.science/api/pith-number/D6UHID7JGYZF7TR663KRBQ3B47/graph.json","fetch_events":"https://pith.science/api/pith-number/D6UHID7JGYZF7TR663KRBQ3B47/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D6UHID7JGYZF7TR663KRBQ3B47/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D6UHID7JGYZF7TR663KRBQ3B47/action/storage_attestation","attest_author":"https://pith.science/pith/D6UHID7JGYZF7TR663KRBQ3B47/action/author_attestation","sign_citation":"https://pith.science/pith/D6UHID7JGYZF7TR663KRBQ3B47/action/citation_signature","submit_replication":"https://pith.science/pith/D6UHID7JGYZF7TR663KRBQ3B47/action/replication_record"}},"created_at":"2026-05-18T02:53:15.765775+00:00","updated_at":"2026-05-18T02:53:15.765775+00:00"}