{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:23HDY4H4CXX4K5JEUOECFF6MGF","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":"d0ec1a3071b6751f1ce304c388c5d20fa8c0cf1878eb1f6163d3910eb00f885b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-14T06:24:14Z","title_canon_sha256":"675978ea4a2e0fcb8d58ec5d357649c9d63bb34557731c88ab52037c7647237c"},"schema_version":"1.0","source":{"id":"0904.2054","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.2054","created_at":"2026-05-18T02:14:06Z"},{"alias_kind":"arxiv_version","alias_value":"0904.2054v2","created_at":"2026-05-18T02:14:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.2054","created_at":"2026-05-18T02:14:06Z"},{"alias_kind":"pith_short_12","alias_value":"23HDY4H4CXX4","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"23HDY4H4CXX4K5JE","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"23HDY4H4","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:30ff7850b170a89d578a98b9a9a5019b6fefd258352ccdb538ccfa07cf4001aa","target":"graph","created_at":"2026-05-18T02:14:06Z","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 investigate continuous-time quantum walk on star graphs. It is shown that quantum central limit theorem for a continuous-time quantum walk on star graphs for $N$-fold star power graph, which are invariant under the quantum component of adjacency matrix, converges to continuous-time quantum walk on $K_2$ graphs (Complete graph with two vertices) and the probability of observing walk tends to the uniform distribution.","authors_text":"S. Salimi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-14T06:24:14Z","title":"Continuous-time quantum walks on star graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.2054","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:bc7b6f40b7953df7459aecc95eed6202569c8f9d6cc82b7f871f7566849e19f3","target":"record","created_at":"2026-05-18T02:14:06Z","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":"d0ec1a3071b6751f1ce304c388c5d20fa8c0cf1878eb1f6163d3910eb00f885b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-14T06:24:14Z","title_canon_sha256":"675978ea4a2e0fcb8d58ec5d357649c9d63bb34557731c88ab52037c7647237c"},"schema_version":"1.0","source":{"id":"0904.2054","kind":"arxiv","version":2}},"canonical_sha256":"d6ce3c70fc15efc57524a3882297cc3156b0e3e550782794ec76c57183e56c17","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6ce3c70fc15efc57524a3882297cc3156b0e3e550782794ec76c57183e56c17","first_computed_at":"2026-05-18T02:14:06.135342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:06.135342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WVWXFauxRqw0Dy4kr9r2SxGzLyqOKRRlGfPf2gKlPaflfozWeFGW5WqK3xQAdZeV9m4K1/6w1QNHEn6bHyPABA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:06.135913Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.2054","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc7b6f40b7953df7459aecc95eed6202569c8f9d6cc82b7f871f7566849e19f3","sha256:30ff7850b170a89d578a98b9a9a5019b6fefd258352ccdb538ccfa07cf4001aa"],"state_sha256":"f8a0525f7ca8594f00d80e70b1f0250f61df0968697940bfe5dbcc6a43236e12"}