{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WSDYM5YGJ3L6327JUBVDL2ZXWN","short_pith_number":"pith:WSDYM5YG","canonical_record":{"source":{"id":"1606.03768","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-12T21:54:15Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c46925938a5ec428517c348c2c293fdae6e3e7b741a640a1e8dce9aecd552182","abstract_canon_sha256":"fc3994497426b61784d930add2414a17de3ebcd04689d392f7ef360a98e43279"},"schema_version":"1.0"},"canonical_sha256":"b4878677064ed7edebe9a06a35eb37b37b990316a23c40d1ee829f317b5e1dea","source":{"kind":"arxiv","id":"1606.03768","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.03768","created_at":"2026-05-18T01:12:33Z"},{"alias_kind":"arxiv_version","alias_value":"1606.03768v1","created_at":"2026-05-18T01:12:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03768","created_at":"2026-05-18T01:12:33Z"},{"alias_kind":"pith_short_12","alias_value":"WSDYM5YGJ3L6","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WSDYM5YGJ3L6327J","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WSDYM5YG","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WSDYM5YGJ3L6327JUBVDL2ZXWN","target":"record","payload":{"canonical_record":{"source":{"id":"1606.03768","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-12T21:54:15Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c46925938a5ec428517c348c2c293fdae6e3e7b741a640a1e8dce9aecd552182","abstract_canon_sha256":"fc3994497426b61784d930add2414a17de3ebcd04689d392f7ef360a98e43279"},"schema_version":"1.0"},"canonical_sha256":"b4878677064ed7edebe9a06a35eb37b37b990316a23c40d1ee829f317b5e1dea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:33.080519Z","signature_b64":"zBkUw90qecAs9RYTOgRisknImZC5gqH4Xx/ujnaxxSSy31Mj3F6rglt4pT6WcFFoQIdpZ9LnrwFHr/+2GlxZDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4878677064ed7edebe9a06a35eb37b37b990316a23c40d1ee829f317b5e1dea","last_reissued_at":"2026-05-18T01:12:33.080075Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:33.080075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.03768","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":"2026-05-18T01:12:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nxYvDdQSGlvCo8R9QsrnzbW0N40loZoV2pLGTRC6EUQpq4nCHqlXLUHjY+unGLse967ZR3ElAZnsGqwxATIdCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:44:34.302011Z"},"content_sha256":"2bded30ecf88e6b0e3ab4ea1bdc1315909628c3af160f24d69a2eaab8a41e797","schema_version":"1.0","event_id":"sha256:2bded30ecf88e6b0e3ab4ea1bdc1315909628c3af160f24d69a2eaab8a41e797"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WSDYM5YGJ3L6327JUBVDL2ZXWN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New Permutation Trinomials From Niho Exponents over Finite Fields with Even Characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Nian Li, Tor Helleseth","submitted_at":"2016-06-12T21:54:15Z","abstract_excerpt":"In this paper, a class of permutation trinomials of Niho type over finite fields with even characteristic is further investigated. New permutation trinomials from Niho exponents are obtained from linear fractional polynomials over finite fields, and it is shown that the presented results are the generalizations of some earlier works."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03768","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":""},"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":"2026-05-18T01:12:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JyDebl+5OSwE0hVr8w8H1toSTp+k2BEvBLtI2yUDsh4pz6M2EKSn8dt2bOrieLo2TSHCCMUefg8u/7MtFpdTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:44:34.302374Z"},"content_sha256":"b8e9ca6da2f97c4062bf7a498525ca3b9cf7625a04b026f1a69dd39b36256428","schema_version":"1.0","event_id":"sha256:b8e9ca6da2f97c4062bf7a498525ca3b9cf7625a04b026f1a69dd39b36256428"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WSDYM5YGJ3L6327JUBVDL2ZXWN/bundle.json","state_url":"https://pith.science/pith/WSDYM5YGJ3L6327JUBVDL2ZXWN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WSDYM5YGJ3L6327JUBVDL2ZXWN/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":"2026-05-28T06:44:34Z","links":{"resolver":"https://pith.science/pith/WSDYM5YGJ3L6327JUBVDL2ZXWN","bundle":"https://pith.science/pith/WSDYM5YGJ3L6327JUBVDL2ZXWN/bundle.json","state":"https://pith.science/pith/WSDYM5YGJ3L6327JUBVDL2ZXWN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WSDYM5YGJ3L6327JUBVDL2ZXWN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WSDYM5YGJ3L6327JUBVDL2ZXWN","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":"fc3994497426b61784d930add2414a17de3ebcd04689d392f7ef360a98e43279","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-12T21:54:15Z","title_canon_sha256":"c46925938a5ec428517c348c2c293fdae6e3e7b741a640a1e8dce9aecd552182"},"schema_version":"1.0","source":{"id":"1606.03768","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.03768","created_at":"2026-05-18T01:12:33Z"},{"alias_kind":"arxiv_version","alias_value":"1606.03768v1","created_at":"2026-05-18T01:12:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03768","created_at":"2026-05-18T01:12:33Z"},{"alias_kind":"pith_short_12","alias_value":"WSDYM5YGJ3L6","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WSDYM5YGJ3L6327J","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WSDYM5YG","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:b8e9ca6da2f97c4062bf7a498525ca3b9cf7625a04b026f1a69dd39b36256428","target":"graph","created_at":"2026-05-18T01:12:33Z","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":"In this paper, a class of permutation trinomials of Niho type over finite fields with even characteristic is further investigated. New permutation trinomials from Niho exponents are obtained from linear fractional polynomials over finite fields, and it is shown that the presented results are the generalizations of some earlier works.","authors_text":"Nian Li, Tor Helleseth","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-12T21:54:15Z","title":"New Permutation Trinomials From Niho Exponents over Finite Fields with Even Characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03768","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":"sha256:2bded30ecf88e6b0e3ab4ea1bdc1315909628c3af160f24d69a2eaab8a41e797","target":"record","created_at":"2026-05-18T01:12:33Z","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":"fc3994497426b61784d930add2414a17de3ebcd04689d392f7ef360a98e43279","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-12T21:54:15Z","title_canon_sha256":"c46925938a5ec428517c348c2c293fdae6e3e7b741a640a1e8dce9aecd552182"},"schema_version":"1.0","source":{"id":"1606.03768","kind":"arxiv","version":1}},"canonical_sha256":"b4878677064ed7edebe9a06a35eb37b37b990316a23c40d1ee829f317b5e1dea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4878677064ed7edebe9a06a35eb37b37b990316a23c40d1ee829f317b5e1dea","first_computed_at":"2026-05-18T01:12:33.080075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:33.080075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zBkUw90qecAs9RYTOgRisknImZC5gqH4Xx/ujnaxxSSy31Mj3F6rglt4pT6WcFFoQIdpZ9LnrwFHr/+2GlxZDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:33.080519Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.03768","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2bded30ecf88e6b0e3ab4ea1bdc1315909628c3af160f24d69a2eaab8a41e797","sha256:b8e9ca6da2f97c4062bf7a498525ca3b9cf7625a04b026f1a69dd39b36256428"],"state_sha256":"ad26b9e3d52d5100c88000e93ca7722d56f3f3cbd1abdaf71c0ff23ff0f7377d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rh8BpTK2LFUzRs2Dg3LJZYxR1+3qQ9IQ1PnMnlL7kQi60eWG/LumV1R+omVjcXCmgefFZKL+aESZ2IHKFqPgAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T06:44:34.304338Z","bundle_sha256":"e311acf9e987c1cbdfa356595bfec6755a62603431312b96f38ae88727f68ad0"}}