{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:ROX7DJTUQBQTNE7LH7LW7CIW3H","short_pith_number":"pith:ROX7DJTU","schema_version":"1.0","canonical_sha256":"8baff1a67480613693eb3fd76f8916d9ffcb3d50a7b432787e19de25bcc998ff","source":{"kind":"arxiv","id":"2605.22302","version":1},"attestation_state":"computed","paper":{"title":"On finite perfect two-sided skew braces","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Marco Damele","submitted_at":"2026-05-21T10:48:35Z","abstract_excerpt":"We prove a structure theorem for finite perfect two-sided skew braces. The main tool is a central product theory for skew braces, developed here in both external and internal form; we show that these two constructions are equivalent. Our main result states that every finite perfect two-sided skew brace \\(B\\) admits the canonical decomposition $B=B^2\\circ B^{2,\\operatorname{op}},$ where \\(B^2\\) is almost trivial with perfect additive group, while \\(B^{2,\\operatorname{op}}\\) is trivial with perfect additive group. Thus finite perfect two-sided skew braces are classified, up to central amalgamati"},"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":"2605.22302","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.GR","submitted_at":"2026-05-21T10:48:35Z","cross_cats_sorted":[],"title_canon_sha256":"16c93940a542438f4b0c47cca683ac1406c4ad4bac0da752e861b982dd114239","abstract_canon_sha256":"d2f07208aabb9aff8d1fcf33caf8cc3740316aea539b751a475b03e0b86ed116"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T01:04:36.895682Z","signature_b64":"AfX5gOTEyYseqavC4f3GhLE/bfX6ZpDOyUMJsce7iG6Hi5F92aVxOP7+xnK6Wa8c6UovGR0sWPJzyFQhgyeCBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8baff1a67480613693eb3fd76f8916d9ffcb3d50a7b432787e19de25bcc998ff","last_reissued_at":"2026-05-22T01:04:36.895036Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T01:04:36.895036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On finite perfect two-sided skew braces","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Marco Damele","submitted_at":"2026-05-21T10:48:35Z","abstract_excerpt":"We prove a structure theorem for finite perfect two-sided skew braces. The main tool is a central product theory for skew braces, developed here in both external and internal form; we show that these two constructions are equivalent. Our main result states that every finite perfect two-sided skew brace \\(B\\) admits the canonical decomposition $B=B^2\\circ B^{2,\\operatorname{op}},$ where \\(B^2\\) is almost trivial with perfect additive group, while \\(B^{2,\\operatorname{op}}\\) is trivial with perfect additive group. Thus finite perfect two-sided skew braces are classified, up to central amalgamati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22302","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.22302/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":"2605.22302","created_at":"2026-05-22T01:04:36.895151+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.22302v1","created_at":"2026-05-22T01:04:36.895151+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22302","created_at":"2026-05-22T01:04:36.895151+00:00"},{"alias_kind":"pith_short_12","alias_value":"ROX7DJTUQBQT","created_at":"2026-05-22T01:04:36.895151+00:00"},{"alias_kind":"pith_short_16","alias_value":"ROX7DJTUQBQTNE7L","created_at":"2026-05-22T01:04:36.895151+00:00"},{"alias_kind":"pith_short_8","alias_value":"ROX7DJTU","created_at":"2026-05-22T01:04:36.895151+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/ROX7DJTUQBQTNE7LH7LW7CIW3H","json":"https://pith.science/pith/ROX7DJTUQBQTNE7LH7LW7CIW3H.json","graph_json":"https://pith.science/api/pith-number/ROX7DJTUQBQTNE7LH7LW7CIW3H/graph.json","events_json":"https://pith.science/api/pith-number/ROX7DJTUQBQTNE7LH7LW7CIW3H/events.json","paper":"https://pith.science/paper/ROX7DJTU"},"agent_actions":{"view_html":"https://pith.science/pith/ROX7DJTUQBQTNE7LH7LW7CIW3H","download_json":"https://pith.science/pith/ROX7DJTUQBQTNE7LH7LW7CIW3H.json","view_paper":"https://pith.science/paper/ROX7DJTU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.22302&json=true","fetch_graph":"https://pith.science/api/pith-number/ROX7DJTUQBQTNE7LH7LW7CIW3H/graph.json","fetch_events":"https://pith.science/api/pith-number/ROX7DJTUQBQTNE7LH7LW7CIW3H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ROX7DJTUQBQTNE7LH7LW7CIW3H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ROX7DJTUQBQTNE7LH7LW7CIW3H/action/storage_attestation","attest_author":"https://pith.science/pith/ROX7DJTUQBQTNE7LH7LW7CIW3H/action/author_attestation","sign_citation":"https://pith.science/pith/ROX7DJTUQBQTNE7LH7LW7CIW3H/action/citation_signature","submit_replication":"https://pith.science/pith/ROX7DJTUQBQTNE7LH7LW7CIW3H/action/replication_record"}},"created_at":"2026-05-22T01:04:36.895151+00:00","updated_at":"2026-05-22T01:04:36.895151+00:00"}