{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:AIBKXU73F2YPFF3KR724WAK7ID","short_pith_number":"pith:AIBKXU73","schema_version":"1.0","canonical_sha256":"0202abd3fb2eb0f2976a8ff5cb015f40e5fae43c35887025c6e7d4e8e8053cf4","source":{"kind":"arxiv","id":"1502.07811","version":1},"attestation_state":"computed","paper":{"title":"Desuspensions of S^1 /\\ P^1_Q-{0,1,infty}","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AT","authors_text":"Kirsten Wickelgren","submitted_at":"2015-02-27T03:23:51Z","abstract_excerpt":"We use the Galois action on $\\pi_1^{\\textrm{et}}(\\mathbb{P}_{\\overline{\\mathbb{Q}}}^1 - \\{0,1,\\infty \\})$ to show that the homotopy equivalence $S^1 \\wedge (\\mathbb{G}_{m,\\mathbb{Q}} \\vee \\mathbb{G}_{m,\\mathbb{Q}}) \\cong S^1 \\wedge (\\mathbb{P}_{\\mathbb{Q}}^1 - \\{0,1,\\infty \\}) $ coming from purity does not desuspend to a map $\\mathbb{G}_{m,\\mathbb{Q}} \\vee \\mathbb{G}_{m,\\mathbb{Q}} \\to \\mathbb{P}_{\\mathbb{Q}}^1 - \\{0,1,\\infty \\}$."},"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":"1502.07811","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-02-27T03:23:51Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"379f4f831763c766a0a1158ae2c6cf92abcb77e0b41b7683a9bf5400bf6ebae6","abstract_canon_sha256":"42fd37081d75483539ca6f690a778d4f40171c5d02300065494398a36cf4ff72"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:02.112337Z","signature_b64":"9Jf6/2BVTodGzI3bLHkl/cn0p0Pv4bxcwKFxIhJKFpGDaaKl70rHyRiXaKWxYRTGuEMVqtVEPyR1EthKXWX2Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0202abd3fb2eb0f2976a8ff5cb015f40e5fae43c35887025c6e7d4e8e8053cf4","last_reissued_at":"2026-05-18T02:26:02.111797Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:02.111797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Desuspensions of S^1 /\\ P^1_Q-{0,1,infty}","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AT","authors_text":"Kirsten Wickelgren","submitted_at":"2015-02-27T03:23:51Z","abstract_excerpt":"We use the Galois action on $\\pi_1^{\\textrm{et}}(\\mathbb{P}_{\\overline{\\mathbb{Q}}}^1 - \\{0,1,\\infty \\})$ to show that the homotopy equivalence $S^1 \\wedge (\\mathbb{G}_{m,\\mathbb{Q}} \\vee \\mathbb{G}_{m,\\mathbb{Q}}) \\cong S^1 \\wedge (\\mathbb{P}_{\\mathbb{Q}}^1 - \\{0,1,\\infty \\}) $ coming from purity does not desuspend to a map $\\mathbb{G}_{m,\\mathbb{Q}} \\vee \\mathbb{G}_{m,\\mathbb{Q}} \\to \\mathbb{P}_{\\mathbb{Q}}^1 - \\{0,1,\\infty \\}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07811","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":"1502.07811","created_at":"2026-05-18T02:26:02.111871+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.07811v1","created_at":"2026-05-18T02:26:02.111871+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07811","created_at":"2026-05-18T02:26:02.111871+00:00"},{"alias_kind":"pith_short_12","alias_value":"AIBKXU73F2YP","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"AIBKXU73F2YPFF3K","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"AIBKXU73","created_at":"2026-05-18T12:29:10.953037+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/AIBKXU73F2YPFF3KR724WAK7ID","json":"https://pith.science/pith/AIBKXU73F2YPFF3KR724WAK7ID.json","graph_json":"https://pith.science/api/pith-number/AIBKXU73F2YPFF3KR724WAK7ID/graph.json","events_json":"https://pith.science/api/pith-number/AIBKXU73F2YPFF3KR724WAK7ID/events.json","paper":"https://pith.science/paper/AIBKXU73"},"agent_actions":{"view_html":"https://pith.science/pith/AIBKXU73F2YPFF3KR724WAK7ID","download_json":"https://pith.science/pith/AIBKXU73F2YPFF3KR724WAK7ID.json","view_paper":"https://pith.science/paper/AIBKXU73","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.07811&json=true","fetch_graph":"https://pith.science/api/pith-number/AIBKXU73F2YPFF3KR724WAK7ID/graph.json","fetch_events":"https://pith.science/api/pith-number/AIBKXU73F2YPFF3KR724WAK7ID/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AIBKXU73F2YPFF3KR724WAK7ID/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AIBKXU73F2YPFF3KR724WAK7ID/action/storage_attestation","attest_author":"https://pith.science/pith/AIBKXU73F2YPFF3KR724WAK7ID/action/author_attestation","sign_citation":"https://pith.science/pith/AIBKXU73F2YPFF3KR724WAK7ID/action/citation_signature","submit_replication":"https://pith.science/pith/AIBKXU73F2YPFF3KR724WAK7ID/action/replication_record"}},"created_at":"2026-05-18T02:26:02.111871+00:00","updated_at":"2026-05-18T02:26:02.111871+00:00"}