{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PECOJIE53FVL4R5XMQMORUHVAU","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":"0f972dd802143d70c9fab3d5075ba28c5be2d0817dc7ccd32b36b4017d4def10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-18T04:47:59Z","title_canon_sha256":"fd4c5f787710ffd388cca4e4b8e1d440cbfda56d9a682d005fe8528c38cd638a"},"schema_version":"1.0","source":{"id":"1804.06549","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06549","created_at":"2026-05-18T00:09:37Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06549v3","created_at":"2026-05-18T00:09:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06549","created_at":"2026-05-18T00:09:37Z"},{"alias_kind":"pith_short_12","alias_value":"PECOJIE53FVL","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PECOJIE53FVL4R5X","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PECOJIE5","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:1f1c556ed44cf1d1a4c887937b27174ec8a3686721ea4b5c317d74d80b35cf94","target":"graph","created_at":"2026-05-18T00:09:37Z","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 investigate a quantum spatial search problem on a fractal lattice. A recent study for the Sierpinski gasket and tetrahedron made a conjecture that the dynamics of the search on a fractal lattice is determined by spectral dimension. We tackle this problem for the Sierpinski carpet, and our simulation result supports the conjecture. We also propose a scaling hypothesis of oracle calls for the quantum amplitude amplification.","authors_text":"Shohei Watabe, Shu Tamegai, Tetsuro Nikuni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-18T04:47:59Z","title":"Spatial Search on Sierpinski Carpet Using Quantum Walk"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06549","kind":"arxiv","version":3},"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:bd42fa983cff7cc3916f8ba71773712bb736db0e6141b78c51a356b4ca3b765b","target":"record","created_at":"2026-05-18T00:09:37Z","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":"0f972dd802143d70c9fab3d5075ba28c5be2d0817dc7ccd32b36b4017d4def10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-18T04:47:59Z","title_canon_sha256":"fd4c5f787710ffd388cca4e4b8e1d440cbfda56d9a682d005fe8528c38cd638a"},"schema_version":"1.0","source":{"id":"1804.06549","kind":"arxiv","version":3}},"canonical_sha256":"7904e4a09dd96abe47b76418e8d0f5052212ee741db72c284e2bdb2a87274fc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7904e4a09dd96abe47b76418e8d0f5052212ee741db72c284e2bdb2a87274fc9","first_computed_at":"2026-05-18T00:09:37.529514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:37.529514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"itXrt8QzQbGAlk7VHe2T44TNkHyPAfCvzcDy71n+nIHhpH0qz1JQh3eZcfcqMU1VTy+Gas8tLCIixUZijknrAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:37.529973Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.06549","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd42fa983cff7cc3916f8ba71773712bb736db0e6141b78c51a356b4ca3b765b","sha256:1f1c556ed44cf1d1a4c887937b27174ec8a3686721ea4b5c317d74d80b35cf94"],"state_sha256":"e66a044c51aa361aca77d50acf4ae7ee3995a34881674c3b34b966e32ade8e48"}