{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VISVBLPLPSS6J3CP4D7GSNXHKC","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":"7c4cba8ef331ffe371221a84dbd872bd81cb4dc3523d7bb27db81c6e9eef6750","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-12T22:59:29Z","title_canon_sha256":"733a60480c4b88154b05db38b7f99da73e019fdaa9d9f5d0fc3255df2f58e9f6"},"schema_version":"1.0","source":{"id":"1707.03928","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.03928","created_at":"2026-05-18T00:40:23Z"},{"alias_kind":"arxiv_version","alias_value":"1707.03928v1","created_at":"2026-05-18T00:40:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03928","created_at":"2026-05-18T00:40:23Z"},{"alias_kind":"pith_short_12","alias_value":"VISVBLPLPSS6","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VISVBLPLPSS6J3CP","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VISVBLPL","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:93d215b7618ec6801a326a419ed59fc68bee456c270478477a41b8512f7b7beb","target":"graph","created_at":"2026-05-18T00:40:23Z","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":"The subject of this note is a challenging conjecture about X-rays of permutations which is a special case of a conjecture regarding Skolem sequences. In relation to this, Brualdi and Fritscher [Linear Algebra and its Applications, 2014] posed the following problem: Determine a bijection between extremal Skolem sets and binary Hankel X-rays of permutation matrices. We give such a bijection, along with some related observations.","authors_text":"Gustav Nordh","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-12T22:59:29Z","title":"A note on X-rays of permutations and a problem of Brualdi and Fritscher"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03928","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:a26118ef0562a4cf37f8705b0bcf0fca83651929a34195bef43900f12488d733","target":"record","created_at":"2026-05-18T00:40:23Z","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":"7c4cba8ef331ffe371221a84dbd872bd81cb4dc3523d7bb27db81c6e9eef6750","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-12T22:59:29Z","title_canon_sha256":"733a60480c4b88154b05db38b7f99da73e019fdaa9d9f5d0fc3255df2f58e9f6"},"schema_version":"1.0","source":{"id":"1707.03928","kind":"arxiv","version":1}},"canonical_sha256":"aa2550adeb7ca5e4ec4fe0fe6936e75098cf14a6622d6984fd9d5cdcd436d873","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa2550adeb7ca5e4ec4fe0fe6936e75098cf14a6622d6984fd9d5cdcd436d873","first_computed_at":"2026-05-18T00:40:23.087020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:23.087020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FPoZY550PFo8EYP9jgznoGM97tJJFyOVOSNnRnCqxyXae6DwK/0l+1X6fyyYlh0bxz9f2yhknpRBwSBPtnLdBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:23.087666Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.03928","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a26118ef0562a4cf37f8705b0bcf0fca83651929a34195bef43900f12488d733","sha256:93d215b7618ec6801a326a419ed59fc68bee456c270478477a41b8512f7b7beb"],"state_sha256":"e704f98ad853278ddd3326e0419fab13d3309f2a530b92261269c6ee1f25d3a4"}