{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:4MTTNFIRI6OWXDFIWSZPJU4V63","short_pith_number":"pith:4MTTNFIR","schema_version":"1.0","canonical_sha256":"e327369511479d6b8ca8b4b2f4d395f6c2c36a01450b4d4d08ce22e1534203ce","source":{"kind":"arxiv","id":"1907.01539","version":1},"attestation_state":"computed","paper":{"title":"The Bredon-Landweber region in $C_2$-equivariant stable homotopy groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Bertrand J. Guillou, Daniel C. Isaksen","submitted_at":"2019-07-02T17:47:56Z","abstract_excerpt":"We use the $C_2$-equivariant Adams spectral sequence to compute part of the $C_2$-equivariant stable homotopy groups $\\pi^{C_2}_{n,n}$. This allows us to recover results of Bredon and Landweber on the image of the geometric fixed-points map from the equivariant homotopy group $\\pi^{C_2}_{n,n}$ to the classical $\\pi_0$. We also recover results of Mahowald and Ravenel on the Mahowald root invariants of the elements $2^k$."},"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":"1907.01539","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-07-02T17:47:56Z","cross_cats_sorted":[],"title_canon_sha256":"d3e41d045ec621419103e63e74c9f439cc06f50ff8b11cbf8bef971b29cf0cdd","abstract_canon_sha256":"0bcc90a18ae130c54322513c5f9f38c009f15815eb212d711d49e57abda58491"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:40.098545Z","signature_b64":"FZq7z6dHaJbsMZhzxFM+wBX2zFvRMBxHH7gIip1CpIdd+vCVasenbBxwQnJPvJ4BVsv4ijvBDTWwYvTKdU8xCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e327369511479d6b8ca8b4b2f4d395f6c2c36a01450b4d4d08ce22e1534203ce","last_reissued_at":"2026-05-17T23:41:40.097887Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:40.097887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Bredon-Landweber region in $C_2$-equivariant stable homotopy groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Bertrand J. Guillou, Daniel C. Isaksen","submitted_at":"2019-07-02T17:47:56Z","abstract_excerpt":"We use the $C_2$-equivariant Adams spectral sequence to compute part of the $C_2$-equivariant stable homotopy groups $\\pi^{C_2}_{n,n}$. This allows us to recover results of Bredon and Landweber on the image of the geometric fixed-points map from the equivariant homotopy group $\\pi^{C_2}_{n,n}$ to the classical $\\pi_0$. We also recover results of Mahowald and Ravenel on the Mahowald root invariants of the elements $2^k$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.01539","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":"1907.01539","created_at":"2026-05-17T23:41:40.097993+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.01539v1","created_at":"2026-05-17T23:41:40.097993+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.01539","created_at":"2026-05-17T23:41:40.097993+00:00"},{"alias_kind":"pith_short_12","alias_value":"4MTTNFIRI6OW","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"4MTTNFIRI6OWXDFI","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"4MTTNFIR","created_at":"2026-05-18T12:33:10.108867+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/4MTTNFIRI6OWXDFIWSZPJU4V63","json":"https://pith.science/pith/4MTTNFIRI6OWXDFIWSZPJU4V63.json","graph_json":"https://pith.science/api/pith-number/4MTTNFIRI6OWXDFIWSZPJU4V63/graph.json","events_json":"https://pith.science/api/pith-number/4MTTNFIRI6OWXDFIWSZPJU4V63/events.json","paper":"https://pith.science/paper/4MTTNFIR"},"agent_actions":{"view_html":"https://pith.science/pith/4MTTNFIRI6OWXDFIWSZPJU4V63","download_json":"https://pith.science/pith/4MTTNFIRI6OWXDFIWSZPJU4V63.json","view_paper":"https://pith.science/paper/4MTTNFIR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.01539&json=true","fetch_graph":"https://pith.science/api/pith-number/4MTTNFIRI6OWXDFIWSZPJU4V63/graph.json","fetch_events":"https://pith.science/api/pith-number/4MTTNFIRI6OWXDFIWSZPJU4V63/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4MTTNFIRI6OWXDFIWSZPJU4V63/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4MTTNFIRI6OWXDFIWSZPJU4V63/action/storage_attestation","attest_author":"https://pith.science/pith/4MTTNFIRI6OWXDFIWSZPJU4V63/action/author_attestation","sign_citation":"https://pith.science/pith/4MTTNFIRI6OWXDFIWSZPJU4V63/action/citation_signature","submit_replication":"https://pith.science/pith/4MTTNFIRI6OWXDFIWSZPJU4V63/action/replication_record"}},"created_at":"2026-05-17T23:41:40.097993+00:00","updated_at":"2026-05-17T23:41:40.097993+00:00"}