{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HQPVBK7ALZUOWGRYHYL6YLM7IO","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":"f5a1d85653da906c321a9452f49219bd66b56c5fa903e6e11cec0ebb62a42805","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-09-07T19:16:13Z","title_canon_sha256":"bbf5e3a1110d7fc1f080da04de2d68334ebc4ff44b3b734bc1e5dc09b71d7ece"},"schema_version":"1.0","source":{"id":"1809.02644","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.02644","created_at":"2026-05-18T00:06:15Z"},{"alias_kind":"arxiv_version","alias_value":"1809.02644v1","created_at":"2026-05-18T00:06:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.02644","created_at":"2026-05-18T00:06:15Z"},{"alias_kind":"pith_short_12","alias_value":"HQPVBK7ALZUO","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HQPVBK7ALZUOWGRY","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HQPVBK7A","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:dfe5caa8d164ee10847a3d84d16d0c0bb3ecb0933322ba1b8586955deaa6dcf0","target":"graph","created_at":"2026-05-18T00:06:15Z","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 construct an infinite family of intriguing sets that are not tight in the Grassmann Graph of planes of PG$(n,q)$, $n\\ge 5$ odd, and show that the members of the family are the smallest possible examples if $n\\ge 9$ or $q\\ge 25$.","authors_text":"Klaus Metsch, Stefaan De Winter","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-09-07T19:16:13Z","title":"Intriguing sets in distance regular graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.02644","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":"sha256:62f03454e9e457e914eaa51fc17119708ea6cd6d817292404d0719342e4a8b5c","target":"record","created_at":"2026-05-18T00:06:15Z","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":"f5a1d85653da906c321a9452f49219bd66b56c5fa903e6e11cec0ebb62a42805","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-09-07T19:16:13Z","title_canon_sha256":"bbf5e3a1110d7fc1f080da04de2d68334ebc4ff44b3b734bc1e5dc09b71d7ece"},"schema_version":"1.0","source":{"id":"1809.02644","kind":"arxiv","version":1}},"canonical_sha256":"3c1f50abe05e68eb1a383e17ec2d9f4390e10aa16b70ce8bcc93685a355a87c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c1f50abe05e68eb1a383e17ec2d9f4390e10aa16b70ce8bcc93685a355a87c1","first_computed_at":"2026-05-18T00:06:15.711907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:15.711907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h2u0bciXE+ti+l9XEqUQ6GjjAw+N4P1kKr90xbKNLTdvwwzQjOjs74J2QkS6EQj3BvFvd7Hku3n3ceVUchUqAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:15.712410Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.02644","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62f03454e9e457e914eaa51fc17119708ea6cd6d817292404d0719342e4a8b5c","sha256:dfe5caa8d164ee10847a3d84d16d0c0bb3ecb0933322ba1b8586955deaa6dcf0"],"state_sha256":"3e5253e2f0c795cedc01d5f488c07c6b856f7ad4819eccd3aff4243d5026a0f5"}