{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:7XSXB23ND4QFRXWUONZ33GDBDM","short_pith_number":"pith:7XSXB23N","schema_version":"1.0","canonical_sha256":"fde570eb6d1f2058ded47373bd98611b2ce1ec75b00729a3ea6bbfd13aaa08ec","source":{"kind":"arxiv","id":"2409.11693","version":2},"attestation_state":"computed","paper":{"title":"On the second-order zero differential properties of several classes of power functions over finite fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"cs.CR","authors_text":"Huan Zhou, Wenping Yuan, Xiaoni Du, Xingbin Qiao","submitted_at":"2024-09-18T04:27:03Z","abstract_excerpt":"Feistel Boomerang Connectivity Table (FBCT) is an important cryptanalytic technique on analysing the resistance of the Feistel network-based ciphers to power attacks such as differential and boomerang attacks. Moreover, the coefficients of FBCT are closely related to the second-order zero differential spectra of the function $F(x)$ over the finite fields with even characteristic and the Feistel boomerang uniformity is the second-order zero differential uniformity of $F(x)$. In this paper, by computing the number of solutions of specific equations over finite fields, we determine explicitly the"},"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":"2409.11693","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2024-09-18T04:27:03Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"c7f5345617f02b3aaba2d149daaa6f7405ce09d5f1f69c3053ce1c6480333cfd","abstract_canon_sha256":"378885a8eca460258f238d37834b1446557a73c0029c3c52b1f2672b3c89954e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:08:49.658611Z","signature_b64":"tCNN5nPnmsUXVSuHoPBPC4s09n5rbX0s9aAkqS3LhVYz3bjpBVRNnzHkYJqL59yzHPbOWN17IkVyeTmP8K8LAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fde570eb6d1f2058ded47373bd98611b2ce1ec75b00729a3ea6bbfd13aaa08ec","last_reissued_at":"2026-07-05T09:08:49.658048Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:08:49.658048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the second-order zero differential properties of several classes of power functions over finite fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"cs.CR","authors_text":"Huan Zhou, Wenping Yuan, Xiaoni Du, Xingbin Qiao","submitted_at":"2024-09-18T04:27:03Z","abstract_excerpt":"Feistel Boomerang Connectivity Table (FBCT) is an important cryptanalytic technique on analysing the resistance of the Feistel network-based ciphers to power attacks such as differential and boomerang attacks. Moreover, the coefficients of FBCT are closely related to the second-order zero differential spectra of the function $F(x)$ over the finite fields with even characteristic and the Feistel boomerang uniformity is the second-order zero differential uniformity of $F(x)$. In this paper, by computing the number of solutions of specific equations over finite fields, we determine explicitly the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.11693","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/2409.11693/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":"2409.11693","created_at":"2026-07-05T09:08:49.658117+00:00"},{"alias_kind":"arxiv_version","alias_value":"2409.11693v2","created_at":"2026-07-05T09:08:49.658117+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.11693","created_at":"2026-07-05T09:08:49.658117+00:00"},{"alias_kind":"pith_short_12","alias_value":"7XSXB23ND4QF","created_at":"2026-07-05T09:08:49.658117+00:00"},{"alias_kind":"pith_short_16","alias_value":"7XSXB23ND4QFRXWU","created_at":"2026-07-05T09:08:49.658117+00:00"},{"alias_kind":"pith_short_8","alias_value":"7XSXB23N","created_at":"2026-07-05T09:08:49.658117+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/7XSXB23ND4QFRXWUONZ33GDBDM","json":"https://pith.science/pith/7XSXB23ND4QFRXWUONZ33GDBDM.json","graph_json":"https://pith.science/api/pith-number/7XSXB23ND4QFRXWUONZ33GDBDM/graph.json","events_json":"https://pith.science/api/pith-number/7XSXB23ND4QFRXWUONZ33GDBDM/events.json","paper":"https://pith.science/paper/7XSXB23N"},"agent_actions":{"view_html":"https://pith.science/pith/7XSXB23ND4QFRXWUONZ33GDBDM","download_json":"https://pith.science/pith/7XSXB23ND4QFRXWUONZ33GDBDM.json","view_paper":"https://pith.science/paper/7XSXB23N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2409.11693&json=true","fetch_graph":"https://pith.science/api/pith-number/7XSXB23ND4QFRXWUONZ33GDBDM/graph.json","fetch_events":"https://pith.science/api/pith-number/7XSXB23ND4QFRXWUONZ33GDBDM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7XSXB23ND4QFRXWUONZ33GDBDM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7XSXB23ND4QFRXWUONZ33GDBDM/action/storage_attestation","attest_author":"https://pith.science/pith/7XSXB23ND4QFRXWUONZ33GDBDM/action/author_attestation","sign_citation":"https://pith.science/pith/7XSXB23ND4QFRXWUONZ33GDBDM/action/citation_signature","submit_replication":"https://pith.science/pith/7XSXB23ND4QFRXWUONZ33GDBDM/action/replication_record"}},"created_at":"2026-07-05T09:08:49.658117+00:00","updated_at":"2026-07-05T09:08:49.658117+00:00"}