{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:E7O4EWM4XOH2PQDAPFTVTGTA3T","short_pith_number":"pith:E7O4EWM4","schema_version":"1.0","canonical_sha256":"27ddc2599cbb8fa7c0607967599a60dcc3fd3ce65d234dc0b92e9288c3223947","source":{"kind":"arxiv","id":"1804.08006","version":1},"attestation_state":"computed","paper":{"title":"Higher equivariant and invariant topological complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Marzieh Bayeh, Soumen Sarkar","submitted_at":"2018-04-21T18:17:53Z","abstract_excerpt":"In this paper we introduce the concepts of higher equivariant and invariant topological complexity; and study their properties. Then we compare them with equivariant LS-category. We give lower and upper bounds for these new invariants. We compute some of these invariants for moment angle complexes."},"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":"1804.08006","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-04-21T18:17:53Z","cross_cats_sorted":[],"title_canon_sha256":"080a7f24fa10e344126baaf7f2b53370c97e27c233cbfe37fc391393121dd90e","abstract_canon_sha256":"2805f1a0485658edb56a05190a46ca77c81017869e37aebfcf6570d886984c40"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:49.834297Z","signature_b64":"yxGefJRH/jvKiwNUxxV+DsdJ71WA0AG2RxLvQnT6VuwSA89+J2FOjqx2t15jFArIUVsmFRPAJFbTgKpX1pwYBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27ddc2599cbb8fa7c0607967599a60dcc3fd3ce65d234dc0b92e9288c3223947","last_reissued_at":"2026-05-18T00:17:49.833752Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:49.833752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Higher equivariant and invariant topological complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Marzieh Bayeh, Soumen Sarkar","submitted_at":"2018-04-21T18:17:53Z","abstract_excerpt":"In this paper we introduce the concepts of higher equivariant and invariant topological complexity; and study their properties. Then we compare them with equivariant LS-category. We give lower and upper bounds for these new invariants. We compute some of these invariants for moment angle complexes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08006","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":"1804.08006","created_at":"2026-05-18T00:17:49.833845+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.08006v1","created_at":"2026-05-18T00:17:49.833845+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08006","created_at":"2026-05-18T00:17:49.833845+00:00"},{"alias_kind":"pith_short_12","alias_value":"E7O4EWM4XOH2","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_16","alias_value":"E7O4EWM4XOH2PQDA","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_8","alias_value":"E7O4EWM4","created_at":"2026-05-18T12:32:22.470017+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/E7O4EWM4XOH2PQDAPFTVTGTA3T","json":"https://pith.science/pith/E7O4EWM4XOH2PQDAPFTVTGTA3T.json","graph_json":"https://pith.science/api/pith-number/E7O4EWM4XOH2PQDAPFTVTGTA3T/graph.json","events_json":"https://pith.science/api/pith-number/E7O4EWM4XOH2PQDAPFTVTGTA3T/events.json","paper":"https://pith.science/paper/E7O4EWM4"},"agent_actions":{"view_html":"https://pith.science/pith/E7O4EWM4XOH2PQDAPFTVTGTA3T","download_json":"https://pith.science/pith/E7O4EWM4XOH2PQDAPFTVTGTA3T.json","view_paper":"https://pith.science/paper/E7O4EWM4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.08006&json=true","fetch_graph":"https://pith.science/api/pith-number/E7O4EWM4XOH2PQDAPFTVTGTA3T/graph.json","fetch_events":"https://pith.science/api/pith-number/E7O4EWM4XOH2PQDAPFTVTGTA3T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E7O4EWM4XOH2PQDAPFTVTGTA3T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E7O4EWM4XOH2PQDAPFTVTGTA3T/action/storage_attestation","attest_author":"https://pith.science/pith/E7O4EWM4XOH2PQDAPFTVTGTA3T/action/author_attestation","sign_citation":"https://pith.science/pith/E7O4EWM4XOH2PQDAPFTVTGTA3T/action/citation_signature","submit_replication":"https://pith.science/pith/E7O4EWM4XOH2PQDAPFTVTGTA3T/action/replication_record"}},"created_at":"2026-05-18T00:17:49.833845+00:00","updated_at":"2026-05-18T00:17:49.833845+00:00"}