{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WNXHPMN4VBYBSZBPCJ7HTXQYCY","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":"d55c78ebe2f2c40abb4245d2daffc6f472f293ff14b2d9d4f03ec5fbf5f43cb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-26T23:20:46Z","title_canon_sha256":"589685291fa68f6f2c1c23e3296d98683b8d971d94ca66fdc150bb7b89e55ed0"},"schema_version":"1.0","source":{"id":"1707.08662","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08662","created_at":"2026-05-18T00:39:22Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08662v1","created_at":"2026-05-18T00:39:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08662","created_at":"2026-05-18T00:39:22Z"},{"alias_kind":"pith_short_12","alias_value":"WNXHPMN4VBYB","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WNXHPMN4VBYBSZBP","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WNXHPMN4","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:b8e5f32e2eebc6175b441fa3f527a5712cbdcd52f9748ce2642751ab1e3edba0","target":"graph","created_at":"2026-05-18T00:39:22Z","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":"In this paper we prove non-existence of nontrivial partial difference sets in Abelian groups of order 8p^3, where p \\geq 3 is a prime number.","authors_text":"Stefaan De Winter, Zeying Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-26T23:20:46Z","title":"Non-existence of partial difference sets of order 8p^3 in Abelian groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08662","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":"sha256:00d5318b082ed89625dfad79b9909ed76487a5d733dcfea5933ca1ed361be6a9","target":"record","created_at":"2026-05-18T00:39:22Z","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":"d55c78ebe2f2c40abb4245d2daffc6f472f293ff14b2d9d4f03ec5fbf5f43cb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-26T23:20:46Z","title_canon_sha256":"589685291fa68f6f2c1c23e3296d98683b8d971d94ca66fdc150bb7b89e55ed0"},"schema_version":"1.0","source":{"id":"1707.08662","kind":"arxiv","version":1}},"canonical_sha256":"b36e77b1bca87019642f127e79de181624cc165124bc92ba18394be1ff91e4a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b36e77b1bca87019642f127e79de181624cc165124bc92ba18394be1ff91e4a6","first_computed_at":"2026-05-18T00:39:22.320568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:22.320568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bMo4WfgkjD2rHSHEAURocJyxNG9Bok3M29RbnlxwvNvovCzhn3mbuYBR/k9o2+AYG4JZObspKeFLWRdvzXGmCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:22.321231Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.08662","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00d5318b082ed89625dfad79b9909ed76487a5d733dcfea5933ca1ed361be6a9","sha256:b8e5f32e2eebc6175b441fa3f527a5712cbdcd52f9748ce2642751ab1e3edba0"],"state_sha256":"8cbafa1eaa6aa173150cc24758411eabc0e4a466d0857d3854525c631cc773a6"}