{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:U4U6J5YS5OKPTDBRJ2JB5DGBN7","short_pith_number":"pith:U4U6J5YS","canonical_record":{"source":{"id":"1708.01940","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-08-06T22:11:28Z","cross_cats_sorted":[],"title_canon_sha256":"607c681ecc9ed1bf1ff38064b7c261dc5f4526425ffd8a26810e31375f9a520a","abstract_canon_sha256":"df933a9ed177a8b6c55a3ef6b02ee43a9c481d3491826018ca53de5b681a09b0"},"schema_version":"1.0"},"canonical_sha256":"a729e4f712eb94f98c314e921e8cc16fc014da7d1a689c77f723b233261c48e7","source":{"kind":"arxiv","id":"1708.01940","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.01940","created_at":"2026-05-18T00:11:00Z"},{"alias_kind":"arxiv_version","alias_value":"1708.01940v2","created_at":"2026-05-18T00:11:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01940","created_at":"2026-05-18T00:11:00Z"},{"alias_kind":"pith_short_12","alias_value":"U4U6J5YS5OKP","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"U4U6J5YS5OKPTDBR","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"U4U6J5YS","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:U4U6J5YS5OKPTDBRJ2JB5DGBN7","target":"record","payload":{"canonical_record":{"source":{"id":"1708.01940","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-08-06T22:11:28Z","cross_cats_sorted":[],"title_canon_sha256":"607c681ecc9ed1bf1ff38064b7c261dc5f4526425ffd8a26810e31375f9a520a","abstract_canon_sha256":"df933a9ed177a8b6c55a3ef6b02ee43a9c481d3491826018ca53de5b681a09b0"},"schema_version":"1.0"},"canonical_sha256":"a729e4f712eb94f98c314e921e8cc16fc014da7d1a689c77f723b233261c48e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:00.446475Z","signature_b64":"ta015OA3MEvrnYl4OVAqMkCRh47zzWp/IIGsTkfvtJ5kH5pa7NSIl/qB1PlYTFPsJBuRmNWmx6PKKULHOrcdDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a729e4f712eb94f98c314e921e8cc16fc014da7d1a689c77f723b233261c48e7","last_reissued_at":"2026-05-18T00:11:00.445746Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:00.445746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.01940","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:11:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aBPKGpOWypoHN7joudKQuZL9pdmegWh665s+MRAVpsFe3BdWpfyUDWv2jxhEsyEG1/sXVfq0nBmSb4h2dpgLDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T03:12:22.340157Z"},"content_sha256":"926107d34f93ee5836086d685ec5d41625375cea43882c55e1a3ef92949701b6","schema_version":"1.0","event_id":"sha256:926107d34f93ee5836086d685ec5d41625375cea43882c55e1a3ef92949701b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:U4U6J5YS5OKPTDBRJ2JB5DGBN7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maximal differential uniformity polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Fabien Herbaut, Jose Felipe Voloch, Yves Aubry","submitted_at":"2017-08-06T22:11:28Z","abstract_excerpt":"We provide an explicit infinite family of integers $m$ such that all the polynomials of ${\\mathbb F}_{2^n}[x]$ of degree $m$ have maximal differential uniformity for $n$ large enough. We also prove a conjecture of the third author in these cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01940","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":""},"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":"2026-05-18T00:11:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QuGbIpP3D9Nuq0gRYQ02JAr930CutjbNFzyO2qnCsNiD07Jo5WcvPrwBHcek6c1+YS8NCNUPZZcCI965jXzPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T03:12:22.340782Z"},"content_sha256":"893cb3b96a6a07360a925be6ba3570d213c6a5c118ba94b480c77fe1c9c8527c","schema_version":"1.0","event_id":"sha256:893cb3b96a6a07360a925be6ba3570d213c6a5c118ba94b480c77fe1c9c8527c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U4U6J5YS5OKPTDBRJ2JB5DGBN7/bundle.json","state_url":"https://pith.science/pith/U4U6J5YS5OKPTDBRJ2JB5DGBN7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U4U6J5YS5OKPTDBRJ2JB5DGBN7/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":"2026-06-08T03:12:22Z","links":{"resolver":"https://pith.science/pith/U4U6J5YS5OKPTDBRJ2JB5DGBN7","bundle":"https://pith.science/pith/U4U6J5YS5OKPTDBRJ2JB5DGBN7/bundle.json","state":"https://pith.science/pith/U4U6J5YS5OKPTDBRJ2JB5DGBN7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U4U6J5YS5OKPTDBRJ2JB5DGBN7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:U4U6J5YS5OKPTDBRJ2JB5DGBN7","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":"df933a9ed177a8b6c55a3ef6b02ee43a9c481d3491826018ca53de5b681a09b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-08-06T22:11:28Z","title_canon_sha256":"607c681ecc9ed1bf1ff38064b7c261dc5f4526425ffd8a26810e31375f9a520a"},"schema_version":"1.0","source":{"id":"1708.01940","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.01940","created_at":"2026-05-18T00:11:00Z"},{"alias_kind":"arxiv_version","alias_value":"1708.01940v2","created_at":"2026-05-18T00:11:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01940","created_at":"2026-05-18T00:11:00Z"},{"alias_kind":"pith_short_12","alias_value":"U4U6J5YS5OKP","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"U4U6J5YS5OKPTDBR","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"U4U6J5YS","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:893cb3b96a6a07360a925be6ba3570d213c6a5c118ba94b480c77fe1c9c8527c","target":"graph","created_at":"2026-05-18T00:11:00Z","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":"We provide an explicit infinite family of integers $m$ such that all the polynomials of ${\\mathbb F}_{2^n}[x]$ of degree $m$ have maximal differential uniformity for $n$ large enough. We also prove a conjecture of the third author in these cases.","authors_text":"Fabien Herbaut, Jose Felipe Voloch, Yves Aubry","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-08-06T22:11:28Z","title":"Maximal differential uniformity polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01940","kind":"arxiv","version":2},"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":"sha256:926107d34f93ee5836086d685ec5d41625375cea43882c55e1a3ef92949701b6","target":"record","created_at":"2026-05-18T00:11:00Z","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":"df933a9ed177a8b6c55a3ef6b02ee43a9c481d3491826018ca53de5b681a09b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-08-06T22:11:28Z","title_canon_sha256":"607c681ecc9ed1bf1ff38064b7c261dc5f4526425ffd8a26810e31375f9a520a"},"schema_version":"1.0","source":{"id":"1708.01940","kind":"arxiv","version":2}},"canonical_sha256":"a729e4f712eb94f98c314e921e8cc16fc014da7d1a689c77f723b233261c48e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a729e4f712eb94f98c314e921e8cc16fc014da7d1a689c77f723b233261c48e7","first_computed_at":"2026-05-18T00:11:00.445746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:00.445746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ta015OA3MEvrnYl4OVAqMkCRh47zzWp/IIGsTkfvtJ5kH5pa7NSIl/qB1PlYTFPsJBuRmNWmx6PKKULHOrcdDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:00.446475Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.01940","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:926107d34f93ee5836086d685ec5d41625375cea43882c55e1a3ef92949701b6","sha256:893cb3b96a6a07360a925be6ba3570d213c6a5c118ba94b480c77fe1c9c8527c"],"state_sha256":"86a6048c5d3d4020e976609ed17b6c7570cf68d7e3c0fe7cc80499f4d991c63e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AAUms2SvcIOo7rg0Va2S26yAA2rYhv6AuDeW75qGCy4Y3hJnoWoGqUkFgj9R5mjfQTSkRaFhtNWanQ4uD1taCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T03:12:22.344069Z","bundle_sha256":"670bfd2d286feb23cf181429e5c6ca491769d4ea1ffb8413c43cb4dd0775ebdd"}}