{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:HFFNFQOGBQB4HW3Y5MN4U3FIXH","short_pith_number":"pith:HFFNFQOG","schema_version":"1.0","canonical_sha256":"394ad2c1c60c03c3db78eb1bca6ca8b9c818c9aa69adc919d83f53f5f294a44c","source":{"kind":"arxiv","id":"2411.17168","version":2},"attestation_state":"computed","paper":{"title":"S-invariant and S-multinvariant functions and some symmetry groups of algebraic sieves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.NT","math.RA"],"primary_cat":"math.GR","authors_text":"Francesco Maltese","submitted_at":"2024-11-26T07:18:13Z","abstract_excerpt":"In this article we introduced algebraic sieves, i.e. selection procedures on a given finite set to extract a particular subset. Such procedures are performed by finite groups acting on the set. They are called sieves because there are certain sets of numbers which, with appropriate groups, can select, for example, a set of primes, think of the famous Eratosthenes sieve. In this article we have given a general definition of algebraic sieves. And we also introduced the notion of invariant and multi-invariant functions, certain permutations on the sieve set which, in the invariant case, commute w"},"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":"2411.17168","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-11-26T07:18:13Z","cross_cats_sorted":["math.CO","math.NT","math.RA"],"title_canon_sha256":"875bcfdcd3c4068254ce3541acc1400075c5c823acaa74b2759ab26552dbf73d","abstract_canon_sha256":"4d005ad9d92daf6440cfccfb8c55c38817a058437ac561e2c14143d4983eb9e4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:18:45.463430Z","signature_b64":"K5F6qGNufUQWKHOKLf6odxPmMt+5YP+mwbaTvggUYGeC9KtXq75j34MZ01pqMapPNnWYYfVLeQdq9+6qoLS4Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"394ad2c1c60c03c3db78eb1bca6ca8b9c818c9aa69adc919d83f53f5f294a44c","last_reissued_at":"2026-07-05T10:18:45.462924Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:18:45.462924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"S-invariant and S-multinvariant functions and some symmetry groups of algebraic sieves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.NT","math.RA"],"primary_cat":"math.GR","authors_text":"Francesco Maltese","submitted_at":"2024-11-26T07:18:13Z","abstract_excerpt":"In this article we introduced algebraic sieves, i.e. selection procedures on a given finite set to extract a particular subset. Such procedures are performed by finite groups acting on the set. They are called sieves because there are certain sets of numbers which, with appropriate groups, can select, for example, a set of primes, think of the famous Eratosthenes sieve. In this article we have given a general definition of algebraic sieves. And we also introduced the notion of invariant and multi-invariant functions, certain permutations on the sieve set which, in the invariant case, commute w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17168","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.17168/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2411.17168","created_at":"2026-07-05T10:18:45.462987+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.17168v2","created_at":"2026-07-05T10:18:45.462987+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17168","created_at":"2026-07-05T10:18:45.462987+00:00"},{"alias_kind":"pith_short_12","alias_value":"HFFNFQOGBQB4","created_at":"2026-07-05T10:18:45.462987+00:00"},{"alias_kind":"pith_short_16","alias_value":"HFFNFQOGBQB4HW3Y","created_at":"2026-07-05T10:18:45.462987+00:00"},{"alias_kind":"pith_short_8","alias_value":"HFFNFQOG","created_at":"2026-07-05T10:18:45.462987+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/HFFNFQOGBQB4HW3Y5MN4U3FIXH","json":"https://pith.science/pith/HFFNFQOGBQB4HW3Y5MN4U3FIXH.json","graph_json":"https://pith.science/api/pith-number/HFFNFQOGBQB4HW3Y5MN4U3FIXH/graph.json","events_json":"https://pith.science/api/pith-number/HFFNFQOGBQB4HW3Y5MN4U3FIXH/events.json","paper":"https://pith.science/paper/HFFNFQOG"},"agent_actions":{"view_html":"https://pith.science/pith/HFFNFQOGBQB4HW3Y5MN4U3FIXH","download_json":"https://pith.science/pith/HFFNFQOGBQB4HW3Y5MN4U3FIXH.json","view_paper":"https://pith.science/paper/HFFNFQOG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.17168&json=true","fetch_graph":"https://pith.science/api/pith-number/HFFNFQOGBQB4HW3Y5MN4U3FIXH/graph.json","fetch_events":"https://pith.science/api/pith-number/HFFNFQOGBQB4HW3Y5MN4U3FIXH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HFFNFQOGBQB4HW3Y5MN4U3FIXH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HFFNFQOGBQB4HW3Y5MN4U3FIXH/action/storage_attestation","attest_author":"https://pith.science/pith/HFFNFQOGBQB4HW3Y5MN4U3FIXH/action/author_attestation","sign_citation":"https://pith.science/pith/HFFNFQOGBQB4HW3Y5MN4U3FIXH/action/citation_signature","submit_replication":"https://pith.science/pith/HFFNFQOGBQB4HW3Y5MN4U3FIXH/action/replication_record"}},"created_at":"2026-07-05T10:18:45.462987+00:00","updated_at":"2026-07-05T10:18:45.462987+00:00"}