{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:X4UXHWGKAAVAHY6JR5HQ57GQRA","short_pith_number":"pith:X4UXHWGK","canonical_record":{"source":{"id":"cs/0512041","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.CR","submitted_at":"2005-12-10T00:43:18Z","cross_cats_sorted":[],"title_canon_sha256":"3adb1cf209ab8188d7c830996fb6ae50bcc5f07bfad0d93b74b7c599155935fc","abstract_canon_sha256":"6f1269b703ca398b9496402e5389326b39f68af216b39c8b86e148cb6f8cbf25"},"schema_version":"1.0"},"canonical_sha256":"bf2973d8ca002a03e3c98f4f0efcd088268f27abac052543bdfac64670267442","source":{"kind":"arxiv","id":"cs/0512041","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0512041","created_at":"2026-07-04T14:52:06Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0512041v1","created_at":"2026-07-04T14:52:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0512041","created_at":"2026-07-04T14:52:06Z"},{"alias_kind":"pith_short_12","alias_value":"X4UXHWGKAAVA","created_at":"2026-07-04T14:52:06Z"},{"alias_kind":"pith_short_16","alias_value":"X4UXHWGKAAVAHY6J","created_at":"2026-07-04T14:52:06Z"},{"alias_kind":"pith_short_8","alias_value":"X4UXHWGK","created_at":"2026-07-04T14:52:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:X4UXHWGKAAVAHY6JR5HQ57GQRA","target":"record","payload":{"canonical_record":{"source":{"id":"cs/0512041","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.CR","submitted_at":"2005-12-10T00:43:18Z","cross_cats_sorted":[],"title_canon_sha256":"3adb1cf209ab8188d7c830996fb6ae50bcc5f07bfad0d93b74b7c599155935fc","abstract_canon_sha256":"6f1269b703ca398b9496402e5389326b39f68af216b39c8b86e148cb6f8cbf25"},"schema_version":"1.0"},"canonical_sha256":"bf2973d8ca002a03e3c98f4f0efcd088268f27abac052543bdfac64670267442","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:52:06.431791Z","signature_b64":"gQsS0gaK0HqccX2G4z7cUMkHn3TmG7t7s9suoX3N5lmK0Fe/FnAJT4LYEmFUXdQFpG5wQMpvLl9nqSR9Mn43BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf2973d8ca002a03e3c98f4f0efcd088268f27abac052543bdfac64670267442","last_reissued_at":"2026-07-04T14:52:06.431445Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:52:06.431445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cs/0512041","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:52:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XncJf8+UoAAA6cbhsj8jvG1d+nsppgqiy6GeikbnInbVD+GNai/bQcCwZDW+2UYisFmLTGtGBKhCL8YryOERBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T03:28:21.780576Z"},"content_sha256":"f8801e72bc59e5d7eaa199aa387b4d016948eaf8e69aefd3d45d7af3c90a20b1","schema_version":"1.0","event_id":"sha256:f8801e72bc59e5d7eaa199aa387b4d016948eaf8e69aefd3d45d7af3c90a20b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:X4UXHWGKAAVAHY6JR5HQ57GQRA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized partially bent functions","license":"","headline":"","cross_cats":[],"primary_cat":"cs.CR","authors_text":"Jianqin Zhou","submitted_at":"2005-12-10T00:43:18Z","abstract_excerpt":"Based on the definition of generalized partially bent functions, using the theory of linear transformation, the relationship among generalized partially bent functions over ring Z N, generalized bent functions over ring Z N and affine functions is discussed. When N is a prime number, it is proved that a generalized partially bent function can be decomposed as the addition of a generalized bent function and an affine function. The result obtained here generalizes the main works concerning partially bent functions by Claud Carlet in [1]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0512041","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/cs/0512041/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:52:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DtXs/bNIiQCgUPvkIrOSToKMSet6ZgmVyDaI5hjAreL6klela0TVlhYUJN0yoSaepuA234Qk1DmNRY5QF+TTCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T03:28:21.780942Z"},"content_sha256":"5044e2921bb1a81ce666b82bd65d0754463e3684e7b30b4480f426658ed33392","schema_version":"1.0","event_id":"sha256:5044e2921bb1a81ce666b82bd65d0754463e3684e7b30b4480f426658ed33392"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X4UXHWGKAAVAHY6JR5HQ57GQRA/bundle.json","state_url":"https://pith.science/pith/X4UXHWGKAAVAHY6JR5HQ57GQRA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X4UXHWGKAAVAHY6JR5HQ57GQRA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-05T03:28:21Z","links":{"resolver":"https://pith.science/pith/X4UXHWGKAAVAHY6JR5HQ57GQRA","bundle":"https://pith.science/pith/X4UXHWGKAAVAHY6JR5HQ57GQRA/bundle.json","state":"https://pith.science/pith/X4UXHWGKAAVAHY6JR5HQ57GQRA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X4UXHWGKAAVAHY6JR5HQ57GQRA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:X4UXHWGKAAVAHY6JR5HQ57GQRA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6f1269b703ca398b9496402e5389326b39f68af216b39c8b86e148cb6f8cbf25","cross_cats_sorted":[],"license":"","primary_cat":"cs.CR","submitted_at":"2005-12-10T00:43:18Z","title_canon_sha256":"3adb1cf209ab8188d7c830996fb6ae50bcc5f07bfad0d93b74b7c599155935fc"},"schema_version":"1.0","source":{"id":"cs/0512041","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0512041","created_at":"2026-07-04T14:52:06Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0512041v1","created_at":"2026-07-04T14:52:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0512041","created_at":"2026-07-04T14:52:06Z"},{"alias_kind":"pith_short_12","alias_value":"X4UXHWGKAAVA","created_at":"2026-07-04T14:52:06Z"},{"alias_kind":"pith_short_16","alias_value":"X4UXHWGKAAVAHY6J","created_at":"2026-07-04T14:52:06Z"},{"alias_kind":"pith_short_8","alias_value":"X4UXHWGK","created_at":"2026-07-04T14:52:06Z"}],"graph_snapshots":[{"event_id":"sha256:5044e2921bb1a81ce666b82bd65d0754463e3684e7b30b4480f426658ed33392","target":"graph","created_at":"2026-07-04T14:52:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cs/0512041/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Based on the definition of generalized partially bent functions, using the theory of linear transformation, the relationship among generalized partially bent functions over ring Z N, generalized bent functions over ring Z N and affine functions is discussed. When N is a prime number, it is proved that a generalized partially bent function can be decomposed as the addition of a generalized bent function and an affine function. The result obtained here generalizes the main works concerning partially bent functions by Claud Carlet in [1].","authors_text":"Jianqin Zhou","cross_cats":[],"headline":"","license":"","primary_cat":"cs.CR","submitted_at":"2005-12-10T00:43:18Z","title":"Generalized partially bent functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0512041","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f8801e72bc59e5d7eaa199aa387b4d016948eaf8e69aefd3d45d7af3c90a20b1","target":"record","created_at":"2026-07-04T14:52:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6f1269b703ca398b9496402e5389326b39f68af216b39c8b86e148cb6f8cbf25","cross_cats_sorted":[],"license":"","primary_cat":"cs.CR","submitted_at":"2005-12-10T00:43:18Z","title_canon_sha256":"3adb1cf209ab8188d7c830996fb6ae50bcc5f07bfad0d93b74b7c599155935fc"},"schema_version":"1.0","source":{"id":"cs/0512041","kind":"arxiv","version":1}},"canonical_sha256":"bf2973d8ca002a03e3c98f4f0efcd088268f27abac052543bdfac64670267442","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf2973d8ca002a03e3c98f4f0efcd088268f27abac052543bdfac64670267442","first_computed_at":"2026-07-04T14:52:06.431445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:52:06.431445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gQsS0gaK0HqccX2G4z7cUMkHn3TmG7t7s9suoX3N5lmK0Fe/FnAJT4LYEmFUXdQFpG5wQMpvLl9nqSR9Mn43BQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:52:06.431791Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0512041","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8801e72bc59e5d7eaa199aa387b4d016948eaf8e69aefd3d45d7af3c90a20b1","sha256:5044e2921bb1a81ce666b82bd65d0754463e3684e7b30b4480f426658ed33392"],"state_sha256":"e425beb2fc87f87d7829bbeedb53de4fe717381f3507985c7a4753abd2dc5eec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZAtqtsqqSsOKPDXLpNDMcb0V051sRw27SfKIj2rFK59bExS3Q0g0cSPBYGIcnMc0xhSr7Cvb4vrAt/qaR1QWCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T03:28:21.782843Z","bundle_sha256":"fd04b4c6d72f382b3ce11c10630335e4459c693af728330cef445a72289ee92d"}}