{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KIC6I3LSPISMSYLHB7VPU2YMAM","short_pith_number":"pith:KIC6I3LS","canonical_record":{"source":{"id":"1404.2421","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-04-09T10:19:12Z","cross_cats_sorted":[],"title_canon_sha256":"dc59ae5194d9cccd6f9f8cebf79168cf37c4d967a2363992a72ba4439b0f4c85","abstract_canon_sha256":"e1be24c86d50339b19aea0adfeb4f97809e640f50ba8b257cba50efdf7f90a30"},"schema_version":"1.0"},"canonical_sha256":"5205e46d727a24c961670feafa6b0c033216f4c6a4a82d6162ca1fdb3930e652","source":{"kind":"arxiv","id":"1404.2421","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.2421","created_at":"2026-05-18T02:54:22Z"},{"alias_kind":"arxiv_version","alias_value":"1404.2421v3","created_at":"2026-05-18T02:54:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2421","created_at":"2026-05-18T02:54:22Z"},{"alias_kind":"pith_short_12","alias_value":"KIC6I3LSPISM","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KIC6I3LSPISMSYLH","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KIC6I3LS","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KIC6I3LSPISMSYLHB7VPU2YMAM","target":"record","payload":{"canonical_record":{"source":{"id":"1404.2421","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-04-09T10:19:12Z","cross_cats_sorted":[],"title_canon_sha256":"dc59ae5194d9cccd6f9f8cebf79168cf37c4d967a2363992a72ba4439b0f4c85","abstract_canon_sha256":"e1be24c86d50339b19aea0adfeb4f97809e640f50ba8b257cba50efdf7f90a30"},"schema_version":"1.0"},"canonical_sha256":"5205e46d727a24c961670feafa6b0c033216f4c6a4a82d6162ca1fdb3930e652","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:22.881583Z","signature_b64":"sKgnZf4sKG5llHtyDmT/kX+OLHBTpYUH/lZ9MsWcTZgpQzHrLGteJSKXNmtlnkS7zwiTVxJUnlVnYdofthr6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5205e46d727a24c961670feafa6b0c033216f4c6a4a82d6162ca1fdb3930e652","last_reissued_at":"2026-05-18T02:54:22.881138Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:22.881138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.2421","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:54:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZapyAEfgZ2AMyP0l2r7VbO1b32Zva63+q86XD0qxGeFk4mS46pbGlxEMIyt4jx5JuLb7qsDZnPN4hvp2MJJdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:15:24.796902Z"},"content_sha256":"5adb7cc5e20e0ba9470a338c8784ef4e182c870bcafd7879551557c3d5717f01","schema_version":"1.0","event_id":"sha256:5adb7cc5e20e0ba9470a338c8784ef4e182c870bcafd7879551557c3d5717f01"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KIC6I3LSPISMSYLHB7VPU2YMAM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on two classes of permutation polynomials over finite fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Ikkwon Yie, Kitae Kim","submitted_at":"2014-04-09T10:19:12Z","abstract_excerpt":"Permutation polynomials over finite fields have taken an important role in vast areas in mathematics as well as engineering.\n  Recently, Tu et al. gave some classes of complete permutation polynomials over finite fields of even characteristic.\n  In this paper, we give some properties based on a work of Akbary et al. With the help of the properties, we give extensions of Tu et el.'s results to arbitrary characteristic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2421","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:54:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"COwSyJnI3KE5kBr5x8NFxESuNHM6/OKHahXoiCUI6YcnrlA7Ki0O/U29fLjHcv3/tiUkj6osOnI/kV1qhOuvBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:15:24.797234Z"},"content_sha256":"31b7a233cb58962c9c8555af555099e00f4f48464a20d778262b17bf5d9a91cf","schema_version":"1.0","event_id":"sha256:31b7a233cb58962c9c8555af555099e00f4f48464a20d778262b17bf5d9a91cf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KIC6I3LSPISMSYLHB7VPU2YMAM/bundle.json","state_url":"https://pith.science/pith/KIC6I3LSPISMSYLHB7VPU2YMAM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KIC6I3LSPISMSYLHB7VPU2YMAM/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":"2026-07-02T20:15:24Z","links":{"resolver":"https://pith.science/pith/KIC6I3LSPISMSYLHB7VPU2YMAM","bundle":"https://pith.science/pith/KIC6I3LSPISMSYLHB7VPU2YMAM/bundle.json","state":"https://pith.science/pith/KIC6I3LSPISMSYLHB7VPU2YMAM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KIC6I3LSPISMSYLHB7VPU2YMAM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KIC6I3LSPISMSYLHB7VPU2YMAM","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":"e1be24c86d50339b19aea0adfeb4f97809e640f50ba8b257cba50efdf7f90a30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-04-09T10:19:12Z","title_canon_sha256":"dc59ae5194d9cccd6f9f8cebf79168cf37c4d967a2363992a72ba4439b0f4c85"},"schema_version":"1.0","source":{"id":"1404.2421","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.2421","created_at":"2026-05-18T02:54:22Z"},{"alias_kind":"arxiv_version","alias_value":"1404.2421v3","created_at":"2026-05-18T02:54:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2421","created_at":"2026-05-18T02:54:22Z"},{"alias_kind":"pith_short_12","alias_value":"KIC6I3LSPISM","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KIC6I3LSPISMSYLH","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KIC6I3LS","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:31b7a233cb58962c9c8555af555099e00f4f48464a20d778262b17bf5d9a91cf","target":"graph","created_at":"2026-05-18T02:54:22Z","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"},"paper":{"abstract_excerpt":"Permutation polynomials over finite fields have taken an important role in vast areas in mathematics as well as engineering.\n  Recently, Tu et al. gave some classes of complete permutation polynomials over finite fields of even characteristic.\n  In this paper, we give some properties based on a work of Akbary et al. With the help of the properties, we give extensions of Tu et el.'s results to arbitrary characteristic.","authors_text":"Ikkwon Yie, Kitae Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-04-09T10:19:12Z","title":"A note on two classes of permutation polynomials over finite fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2421","kind":"arxiv","version":3},"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":"sha256:5adb7cc5e20e0ba9470a338c8784ef4e182c870bcafd7879551557c3d5717f01","target":"record","created_at":"2026-05-18T02:54:22Z","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":"e1be24c86d50339b19aea0adfeb4f97809e640f50ba8b257cba50efdf7f90a30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-04-09T10:19:12Z","title_canon_sha256":"dc59ae5194d9cccd6f9f8cebf79168cf37c4d967a2363992a72ba4439b0f4c85"},"schema_version":"1.0","source":{"id":"1404.2421","kind":"arxiv","version":3}},"canonical_sha256":"5205e46d727a24c961670feafa6b0c033216f4c6a4a82d6162ca1fdb3930e652","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5205e46d727a24c961670feafa6b0c033216f4c6a4a82d6162ca1fdb3930e652","first_computed_at":"2026-05-18T02:54:22.881138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:22.881138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sKgnZf4sKG5llHtyDmT/kX+OLHBTpYUH/lZ9MsWcTZgpQzHrLGteJSKXNmtlnkS7zwiTVxJUnlVnYdofthr6Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:22.881583Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.2421","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5adb7cc5e20e0ba9470a338c8784ef4e182c870bcafd7879551557c3d5717f01","sha256:31b7a233cb58962c9c8555af555099e00f4f48464a20d778262b17bf5d9a91cf"],"state_sha256":"ac987e7f91c7b0c85a24c3682ee8fd24da1dc94761a8739f488a7544c3614f86"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BMhuzJ76Ewm2db8NxAIyJHBNU8fU2lE6OJ5ILcULKciESuJJBA/GiZOCCOQPhE2MUsDsFUvGr/WBnPHaURTDDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T20:15:24.799133Z","bundle_sha256":"79d98d4fdf427f2383537b95f84cfa395296a1289161c5f0fa51d7bf1872fbd0"}}