{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TRSSUGB4C4GROOLZD7KRJ3OY26","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":"5ea8056caf49ac82fb321e00fc8fdc99f66ace9a90e6dab48984fab6f8bec2d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-23T11:09:08Z","title_canon_sha256":"466d9feb01b025ac2b5622eb682d1fce2119de30518c523ac2358020cdccb6d1"},"schema_version":"1.0","source":{"id":"1512.07433","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.07433","created_at":"2026-05-18T01:18:08Z"},{"alias_kind":"arxiv_version","alias_value":"1512.07433v2","created_at":"2026-05-18T01:18:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.07433","created_at":"2026-05-18T01:18:08Z"},{"alias_kind":"pith_short_12","alias_value":"TRSSUGB4C4GR","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TRSSUGB4C4GROOLZ","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TRSSUGB4","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:ccb1a65864c67153ed9ba64c9a09a0a6d3a58ae6d335b449ee690a5ad1f6e130","target":"graph","created_at":"2026-05-18T01:18:08Z","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 electric quantum walks in two dimensions considering Grover, Alternate, Hadamard, and DFT quantum walks. In the Grover walk the behaviour under an electric field is easy to summarize: when the field direction coincides with the x or y axes, it produces a transient trapping of the probability distribution along the direction of the field, while when it is directed along the diagonals, a perfect 2D trapping is frustrated. The analysis of the alternate walk helps to understand the behaviour of the Grover walk as both walks are partially equivalent; in particular, it helps to understand t","authors_text":"Eugenio Rold\\'an, Fernando Silva, Germ\\'an J. de Valc\\'arcel, Luis A. Bru, Margarida Hinarejos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-23T11:09:08Z","title":"Electric quantum walks in two dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07433","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":"sha256:3857689cf1658c1c7d877c956eef3d1ef31001bc7e16796dd7686d6f5b1d8d10","target":"record","created_at":"2026-05-18T01:18:08Z","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":"5ea8056caf49ac82fb321e00fc8fdc99f66ace9a90e6dab48984fab6f8bec2d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-12-23T11:09:08Z","title_canon_sha256":"466d9feb01b025ac2b5622eb682d1fce2119de30518c523ac2358020cdccb6d1"},"schema_version":"1.0","source":{"id":"1512.07433","kind":"arxiv","version":2}},"canonical_sha256":"9c652a183c170d1739791fd514edd8d793dc7fcaabac95d283b9e0bb2252f91f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c652a183c170d1739791fd514edd8d793dc7fcaabac95d283b9e0bb2252f91f","first_computed_at":"2026-05-18T01:18:08.628550Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:08.628550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fkLv0i27wbbpvKL4Mi3mhcGJP+UJUw2g2cYcAtdMjB8yLjU/horSbu3hOJXth7OzPbav78yWtgMMxJI98iZIAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:08.629025Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.07433","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3857689cf1658c1c7d877c956eef3d1ef31001bc7e16796dd7686d6f5b1d8d10","sha256:ccb1a65864c67153ed9ba64c9a09a0a6d3a58ae6d335b449ee690a5ad1f6e130"],"state_sha256":"813695e324949a430d97a7bcb3708fe728eec98ed9df3981bad36eeb396fc188"}