{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:HHS355ZJVRFWDD3XFHBCLRGL6V","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":"4e1a1179109dd108119fba9c45b6559263d9334042301fa3ee3a899c5f01ee78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-02-15T21:20:55Z","title_canon_sha256":"ab479953fbdc182b0e5ee944dda44a845cce72c8a782364eca6d87ef6cec72d4"},"schema_version":"1.0","source":{"id":"0802.2289","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.2289","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"arxiv_version","alias_value":"0802.2289v1","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.2289","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"pith_short_12","alias_value":"HHS355ZJVRFW","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"HHS355ZJVRFWDD3X","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"HHS355ZJ","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:66db6a765e880ebc6344310eb52077f30c322aa4c5c4e61fc563423326ee87e2","target":"graph","created_at":"2026-05-18T02:16:01Z","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 study the quantum walk in momentum space using a coin arranged in quasi-periodic sequences following a Fibonacci prescription. We build for this system a classical map based on the trace of the evolution operator. The sub-ballistic behavior of this quantum walk is connected with the power-law decay of the time correlations of the trace map.","authors_text":"Alejandro Romanelli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-02-15T21:20:55Z","title":"The Fibonacci quantum walk and its cassical trace map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.2289","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":"sha256:5b92957d8585ed12fb624d5303bf3846df456ff5ec9cf8f33dc173fa84b1b563","target":"record","created_at":"2026-05-18T02:16:01Z","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":"4e1a1179109dd108119fba9c45b6559263d9334042301fa3ee3a899c5f01ee78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-02-15T21:20:55Z","title_canon_sha256":"ab479953fbdc182b0e5ee944dda44a845cce72c8a782364eca6d87ef6cec72d4"},"schema_version":"1.0","source":{"id":"0802.2289","kind":"arxiv","version":1}},"canonical_sha256":"39e5bef729ac4b618f7729c225c4cbf56db08bf834d2f385ce01d407f9474159","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39e5bef729ac4b618f7729c225c4cbf56db08bf834d2f385ce01d407f9474159","first_computed_at":"2026-05-18T02:16:01.057333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:01.057333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zoumvojpJfTuu9LteZpw0CfIqvYzWVC3jr7xH7JHVoqwFi1EQnyxZ7eBsudgsGodAJWtDpJ+QBXJkysvEB6qCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:01.057763Z","signed_message":"canonical_sha256_bytes"},"source_id":"0802.2289","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b92957d8585ed12fb624d5303bf3846df456ff5ec9cf8f33dc173fa84b1b563","sha256:66db6a765e880ebc6344310eb52077f30c322aa4c5c4e61fc563423326ee87e2"],"state_sha256":"dcbe877b68c86a43281e93cc8451703325e4e25fe7769eed19781b2de66473ea"}