{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SRRRVTIBK2BA2YBOFGWR57ZC2P","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":"54f1dab8418897a0d7c6184a61948854ef1588019479ba0bd9560067dd917921","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-12-26T14:02:43Z","title_canon_sha256":"a482ca632dfdb6b9b06260648608064f587ab29efca6c2584a2704dc87e709b0"},"schema_version":"1.0","source":{"id":"1612.08385","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08385","created_at":"2026-05-18T00:53:41Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08385v2","created_at":"2026-05-18T00:53:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08385","created_at":"2026-05-18T00:53:41Z"},{"alias_kind":"pith_short_12","alias_value":"SRRRVTIBK2BA","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SRRRVTIBK2BA2YBO","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SRRRVTIB","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:4e78e6f125afe67a9723a4962f1a2794b6b3588bfcd6680bca3b783bba033ad6","target":"graph","created_at":"2026-05-18T00:53:41Z","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, we use character-theoretic techniques to give new nonexistence results for $(n,m,k,\\lambda)$-strong external difference families (SEDFs). We also use cyclotomic classes to give two new classes of SEDFs with $m=2$.","authors_text":"Jingjun Bao, Lijun Ji, Ruizhong Wei, Yong Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-12-26T14:02:43Z","title":"New Existence and Nonexistence Results for Strong External Difference Families"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08385","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":"sha256:537f0f4a7927b27e61bc355d568ca776354e26c6f03fbf2d3d18653fb8d625ab","target":"record","created_at":"2026-05-18T00:53:41Z","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":"54f1dab8418897a0d7c6184a61948854ef1588019479ba0bd9560067dd917921","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-12-26T14:02:43Z","title_canon_sha256":"a482ca632dfdb6b9b06260648608064f587ab29efca6c2584a2704dc87e709b0"},"schema_version":"1.0","source":{"id":"1612.08385","kind":"arxiv","version":2}},"canonical_sha256":"94631acd0156820d602e29ad1eff22d3c591e73e1f54f90bb446d2ad972b639a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94631acd0156820d602e29ad1eff22d3c591e73e1f54f90bb446d2ad972b639a","first_computed_at":"2026-05-18T00:53:41.848192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:41.848192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eydMF1VbfpMo5UnU8jp2UbsEEii7UpD42o8Pc2Wu+j10bAS5V/SQceMRycA9AvsY2R6ZLA+oCi1zr5PlksnQAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:41.848580Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08385","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:537f0f4a7927b27e61bc355d568ca776354e26c6f03fbf2d3d18653fb8d625ab","sha256:4e78e6f125afe67a9723a4962f1a2794b6b3588bfcd6680bca3b783bba033ad6"],"state_sha256":"384e242de8a3fbc20a5ecf2c5c1d28c9808e93b0df4ef52b2ddb632fb18834c0"}