{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LVGZDPF2T4IFBK4V4LXOQT6CAA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d3ef57e35eccc869330abbe786d9dfc98b70c437923883149c2819235a800f8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-01-14T04:23:51Z","title_canon_sha256":"ce87b08b75c9779f263498d50636fcf55787814e1bc017416ab5002c9bf09d4e"},"schema_version":"1.0","source":{"id":"1501.03242","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.03242","created_at":"2026-05-18T01:31:03Z"},{"alias_kind":"arxiv_version","alias_value":"1501.03242v2","created_at":"2026-05-18T01:31:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.03242","created_at":"2026-05-18T01:31:03Z"},{"alias_kind":"pith_short_12","alias_value":"LVGZDPF2T4IF","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LVGZDPF2T4IFBK4V","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LVGZDPF2","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:7dd6d2158ef7453b162bffbcb44a472b91fcfd55142fb2e1b9f7e76d76d8bbd5","target":"graph","created_at":"2026-05-18T01:31:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"For given spaces $X$ and $Y$, let $map(X,Y)$ and $map_\\ast(X,Y)$ be the unbased and based mapping spaces from $X$ to $Y$, equipped with compact-open topology respectively. Then let $map(X,Y;f)$ and $map_\\ast(X,Y;g)$ be the path component of $map(X,Y)$ containing $f$ and $map_\\ast(X,Y)$ containing $g$, respectively. In this paper, we compute cohomotopy groups of suspended complex plane $\\pi^{n+m}(\\Sigma^n \\mathbb{C} P^2)$ for $m=6,7$. Using these results, we classify path components of the spaces $map(\\Sigma^n \\mathbb{C} P^2,S^m)$ up to homotopy equivalent. We also determine the generalized Got","authors_text":"Jin-ho Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-01-14T04:23:51Z","title":"Certain homotopy properties related to $\\text{map}(\\Sigma^n \\mathbb{C} P^2,S^m)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.03242","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3f192f3fa6af31f782e250d5742d87f20560ce090340ae4b9ee896361acfe81d","target":"record","created_at":"2026-05-18T01:31:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d3ef57e35eccc869330abbe786d9dfc98b70c437923883149c2819235a800f8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-01-14T04:23:51Z","title_canon_sha256":"ce87b08b75c9779f263498d50636fcf55787814e1bc017416ab5002c9bf09d4e"},"schema_version":"1.0","source":{"id":"1501.03242","kind":"arxiv","version":2}},"canonical_sha256":"5d4d91bcba9f1050ab95e2eee84fc20008d4c1108defde525dcd0318ab9e3d66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d4d91bcba9f1050ab95e2eee84fc20008d4c1108defde525dcd0318ab9e3d66","first_computed_at":"2026-05-18T01:31:03.426134Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:03.426134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qrBHG8fhHTlAhpbFS8MLSvkwmANFeaDz1HGM7kJqVn8tqeoCVSvmAHXhdruPaFoujU/JwWWhnvgQwTw4CIioAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:03.426721Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.03242","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f192f3fa6af31f782e250d5742d87f20560ce090340ae4b9ee896361acfe81d","sha256:7dd6d2158ef7453b162bffbcb44a472b91fcfd55142fb2e1b9f7e76d76d8bbd5"],"state_sha256":"c9f936baddd138f0d5021591c4973303871d36cda6809f6c199864e2aafea892"}