{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:NV3DXG2FON7EQK3ZBQSOCILXLN","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":"7188bb2bfe3c4bb51ef33e5b9c3ef4fbe1d097f5b745e608b114a052720484b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-01-21T00:29:27Z","title_canon_sha256":"b920f278353e822c7a552bc469cf1aa663f2616fa59bf829bc67aa006954a025"},"schema_version":"1.0","source":{"id":"1901.06754","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.06754","created_at":"2026-05-17T23:54:02Z"},{"alias_kind":"arxiv_version","alias_value":"1901.06754v2","created_at":"2026-05-17T23:54:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.06754","created_at":"2026-05-17T23:54:02Z"},{"alias_kind":"pith_short_12","alias_value":"NV3DXG2FON7E","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"NV3DXG2FON7EQK3Z","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"NV3DXG2F","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:1fff13f67f80177f7c421305640038ff6d860d24a0745b1d1ee6767d8f2f1214","target":"graph","created_at":"2026-05-17T23:54:02Z","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":"Given an STS(v), we ask if there is a permutation of the points of the design such that no $\\ell$ consecutive points in this permutation contain a block of the design. Results are obtained in the cases $\\ell = 3,4$.","authors_text":"Donald L. Kreher, Douglas R. Stinson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-01-21T00:29:27Z","title":"Block-avoiding sequencings of points in Steiner triple systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.06754","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:fcad3f832c7dd62572eeac70293717e799107f976b2f459348abaa3132e79846","target":"record","created_at":"2026-05-17T23:54:02Z","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":"7188bb2bfe3c4bb51ef33e5b9c3ef4fbe1d097f5b745e608b114a052720484b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-01-21T00:29:27Z","title_canon_sha256":"b920f278353e822c7a552bc469cf1aa663f2616fa59bf829bc67aa006954a025"},"schema_version":"1.0","source":{"id":"1901.06754","kind":"arxiv","version":2}},"canonical_sha256":"6d763b9b45737e482b790c24e121775b704bd911edae141188ef0c0264f74d94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d763b9b45737e482b790c24e121775b704bd911edae141188ef0c0264f74d94","first_computed_at":"2026-05-17T23:54:02.169666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:02.169666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E9THpBNlgc7bSyMHSsrzbX7KgipzSAztbuwVD3S/uG8ncsKMv2kiH1Gv28vsATl23Uzt/nIcauKs7jrys+KiDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:02.170350Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.06754","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcad3f832c7dd62572eeac70293717e799107f976b2f459348abaa3132e79846","sha256:1fff13f67f80177f7c421305640038ff6d860d24a0745b1d1ee6767d8f2f1214"],"state_sha256":"98387eb153f1abc4ad6f7c5114bb7f500f4f79c04fd795caf42dc2c027734e97"}