{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:QPEA647M6Y4TTT45AUIRAOUEHJ","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":"e2e3f8f02a71214b1064efdf67fc1337f70dd8dc9cdc532cd1c4edc84b192fa9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-26T15:49:39Z","title_canon_sha256":"57062ff6744e1b170f318894285e57fc781866cc8a9eae2339f9decf1b30b00a"},"schema_version":"1.0","source":{"id":"2606.28200","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.28200","created_at":"2026-06-29T01:15:09Z"},{"alias_kind":"arxiv_version","alias_value":"2606.28200v1","created_at":"2026-06-29T01:15:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.28200","created_at":"2026-06-29T01:15:09Z"},{"alias_kind":"pith_short_12","alias_value":"QPEA647M6Y4T","created_at":"2026-06-29T01:15:09Z"},{"alias_kind":"pith_short_16","alias_value":"QPEA647M6Y4TTT45","created_at":"2026-06-29T01:15:09Z"},{"alias_kind":"pith_short_8","alias_value":"QPEA647M","created_at":"2026-06-29T01:15:09Z"}],"graph_snapshots":[{"event_id":"sha256:9f0b665abad1aeafb20d64991268a19052d107c1d546ec3aa1806e05e0b5f5ee","target":"graph","created_at":"2026-06-29T01:15:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.28200/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"N-of-1 trials, or time-series experiments, are widely used in clinical research and online platforms. Yet the theoretically optimal design for estimating many treatment effects remains unclear. We propose a simple Markovian framework for experimental design in which the treatment assignment process is governed by possibly time-varying transition matrices. This formulation encompasses many existing N-of-1 designs and provides a principled way to control temporal dependence in treatment assignment through Markov transition probabilities. Under a finite-order impulse-response model, we formulate ","authors_text":"Tengyuan Liang, Wenxuan Guo","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-26T15:49:39Z","title":"Experimental Design When N Equals One"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.28200","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":"sha256:532a90c5d98ba76b59dd38e1064b66b2bbef3e923ed3481e5a9c893389f1ed16","target":"record","created_at":"2026-06-29T01:15:09Z","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":"e2e3f8f02a71214b1064efdf67fc1337f70dd8dc9cdc532cd1c4edc84b192fa9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-26T15:49:39Z","title_canon_sha256":"57062ff6744e1b170f318894285e57fc781866cc8a9eae2339f9decf1b30b00a"},"schema_version":"1.0","source":{"id":"2606.28200","kind":"arxiv","version":1}},"canonical_sha256":"83c80f73ecf63939cf9d0511103a843a70492dee12e4393069a827cfb8a19abf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83c80f73ecf63939cf9d0511103a843a70492dee12e4393069a827cfb8a19abf","first_computed_at":"2026-06-29T01:15:09.089129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T01:15:09.089129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yDcATMlr+R0ULrJkTTf4aQTgkgGwaR7y36VguTcSbqxFVVZxO5r6IzhJ0BK+lo+4HSyhr5GD1hhHo30pO4p7Cw==","signature_status":"signed_v1","signed_at":"2026-06-29T01:15:09.089550Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.28200","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:532a90c5d98ba76b59dd38e1064b66b2bbef3e923ed3481e5a9c893389f1ed16","sha256:9f0b665abad1aeafb20d64991268a19052d107c1d546ec3aa1806e05e0b5f5ee"],"state_sha256":"cf8b0140c09b7f969fa8ecd3202162d6849f9a7513a79486fbf5d2440bdff09f"}