{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PXWKXQCERYL5GPKBJDWKP5P5LX","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":"ac33173733a68d84515c9a77224249b26e1dc22c1da84ef8ff020ccf6d3887b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-24T05:09:53Z","title_canon_sha256":"d24ee3398f7c51e45d84d1aa709ba38e9a38005b35f572340bef855245f603f0"},"schema_version":"1.0","source":{"id":"1609.07572","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.07572","created_at":"2026-05-18T00:45:04Z"},{"alias_kind":"arxiv_version","alias_value":"1609.07572v2","created_at":"2026-05-18T00:45:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07572","created_at":"2026-05-18T00:45:04Z"},{"alias_kind":"pith_short_12","alias_value":"PXWKXQCERYL5","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PXWKXQCERYL5GPKB","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PXWKXQCE","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:bb3458506b1e95dedea760a9a0a69df38a1f0bfa518a3f42fbba00e692634660","target":"graph","created_at":"2026-05-18T00:45:04Z","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 present a review on the progress in the understanding and characterization of holonomy and topology of a discrete-time quantum walk architecture, consisting of a unitary step given by a sequence of two non-commuting rotations in parameter space \\cite{Puentesarxiv}. Unlike other similar systems recently studied in detail in the literature, this system does not present continous 1D topological boundaries, it only presents a discrete number of Dirac points where the quasi- energy gap closes. At these discrete points the topological winding number is not defined. Therefore, such discrete points","authors_text":"G. Puentes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-24T05:09:53Z","title":"Topology, Holonomy, and Quantum Walks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07572","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":"sha256:600c5b52357eebdc799f02b1df6e1e7cc7ea309e63b0ea28f32daafdaad57e67","target":"record","created_at":"2026-05-18T00:45:04Z","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":"ac33173733a68d84515c9a77224249b26e1dc22c1da84ef8ff020ccf6d3887b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-24T05:09:53Z","title_canon_sha256":"d24ee3398f7c51e45d84d1aa709ba38e9a38005b35f572340bef855245f603f0"},"schema_version":"1.0","source":{"id":"1609.07572","kind":"arxiv","version":2}},"canonical_sha256":"7decabc0448e17d33d4148eca7f5fd5df3eb083150928114a94140638a61d6fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7decabc0448e17d33d4148eca7f5fd5df3eb083150928114a94140638a61d6fb","first_computed_at":"2026-05-18T00:45:04.872759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:04.872759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fRLmfYkJ9k7RV6lMIukuNencSU1ilj8LsiJnLcHR4sfA3zp6kxYyLouh6lQrAhiG07ANPjhQiq9tZwT6U/PbAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:04.873127Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.07572","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:600c5b52357eebdc799f02b1df6e1e7cc7ea309e63b0ea28f32daafdaad57e67","sha256:bb3458506b1e95dedea760a9a0a69df38a1f0bfa518a3f42fbba00e692634660"],"state_sha256":"b7025e7ca445627d257eb5e96c34ee635960aacbd317966f50e6eeba84d06fdb"}