{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:BVSS5A5C4QFNXA7NXAZFCGAVA5","short_pith_number":"pith:BVSS5A5C","schema_version":"1.0","canonical_sha256":"0d652e83a2e40adb83edb83251181507734809c7ab1698648c57810f5752a7f7","source":{"kind":"arxiv","id":"1006.2762","version":1},"attestation_state":"computed","paper":{"title":"Delta-discrete $G$-spectra and iterated homotopy fixed points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Daniel G. Davis","submitted_at":"2010-06-14T16:42:23Z","abstract_excerpt":"Let G be a profinite group with finite virtual cohomological dimension and let X be a discrete G-spectrum. If H and K are closed subgroups of G, with H normal in K, then, in general, the K/H-spectrum X^{hH} is not known to be a continuous K/H-spectrum, so that it is not known (in general) how to define the iterated homotopy fixed point spectrum (X^{hH})^{hK/H}. To address this situation, we define homotopy fixed points for delta-discrete G-spectra and show that the setting of delta-discrete G-spectra gives a good framework within which to work. In particular, we show that by using delta-discre"},"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":"1006.2762","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-06-14T16:42:23Z","cross_cats_sorted":[],"title_canon_sha256":"4c06f842552c82827e8c63a6f1ea1545755ef80ecfca3286af72beb2d87f195b","abstract_canon_sha256":"2b628d63aa6d14620349f146cb862d635dff7f9e3dad85af22955b8efb0d7698"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:29.316434Z","signature_b64":"NmLLgtNOvTqoZ5keI7VDQ0LHNKiWZESxlhtDbpKxRfYUDZ3HJW7deK13xyZHbEYyyXRJ+HwvgbdbMex5xn3xBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d652e83a2e40adb83edb83251181507734809c7ab1698648c57810f5752a7f7","last_reissued_at":"2026-05-18T01:22:29.314585Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:29.314585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Delta-discrete $G$-spectra and iterated homotopy fixed points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Daniel G. Davis","submitted_at":"2010-06-14T16:42:23Z","abstract_excerpt":"Let G be a profinite group with finite virtual cohomological dimension and let X be a discrete G-spectrum. If H and K are closed subgroups of G, with H normal in K, then, in general, the K/H-spectrum X^{hH} is not known to be a continuous K/H-spectrum, so that it is not known (in general) how to define the iterated homotopy fixed point spectrum (X^{hH})^{hK/H}. To address this situation, we define homotopy fixed points for delta-discrete G-spectra and show that the setting of delta-discrete G-spectra gives a good framework within which to work. In particular, we show that by using delta-discre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.2762","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":"1006.2762","created_at":"2026-05-18T01:22:29.315915+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.2762v1","created_at":"2026-05-18T01:22:29.315915+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.2762","created_at":"2026-05-18T01:22:29.315915+00:00"},{"alias_kind":"pith_short_12","alias_value":"BVSS5A5C4QFN","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"BVSS5A5C4QFNXA7N","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"BVSS5A5C","created_at":"2026-05-18T12:26:05.355336+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/BVSS5A5C4QFNXA7NXAZFCGAVA5","json":"https://pith.science/pith/BVSS5A5C4QFNXA7NXAZFCGAVA5.json","graph_json":"https://pith.science/api/pith-number/BVSS5A5C4QFNXA7NXAZFCGAVA5/graph.json","events_json":"https://pith.science/api/pith-number/BVSS5A5C4QFNXA7NXAZFCGAVA5/events.json","paper":"https://pith.science/paper/BVSS5A5C"},"agent_actions":{"view_html":"https://pith.science/pith/BVSS5A5C4QFNXA7NXAZFCGAVA5","download_json":"https://pith.science/pith/BVSS5A5C4QFNXA7NXAZFCGAVA5.json","view_paper":"https://pith.science/paper/BVSS5A5C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.2762&json=true","fetch_graph":"https://pith.science/api/pith-number/BVSS5A5C4QFNXA7NXAZFCGAVA5/graph.json","fetch_events":"https://pith.science/api/pith-number/BVSS5A5C4QFNXA7NXAZFCGAVA5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BVSS5A5C4QFNXA7NXAZFCGAVA5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BVSS5A5C4QFNXA7NXAZFCGAVA5/action/storage_attestation","attest_author":"https://pith.science/pith/BVSS5A5C4QFNXA7NXAZFCGAVA5/action/author_attestation","sign_citation":"https://pith.science/pith/BVSS5A5C4QFNXA7NXAZFCGAVA5/action/citation_signature","submit_replication":"https://pith.science/pith/BVSS5A5C4QFNXA7NXAZFCGAVA5/action/replication_record"}},"created_at":"2026-05-18T01:22:29.315915+00:00","updated_at":"2026-05-18T01:22:29.315915+00:00"}