{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CO4L76EPFLY4UUMLOOSFXUCIJW","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":"21402bc79ea5bd22d49c95799b812a14cc7462789248a3f864d39b2b1d3618a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-28T10:43:24Z","title_canon_sha256":"af4dfa912876ddde12b8a4bf700a65958842e6207286dceb55ddbb072a4a1bb7"},"schema_version":"1.0","source":{"id":"1504.07418","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.07418","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"arxiv_version","alias_value":"1504.07418v2","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07418","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"pith_short_12","alias_value":"CO4L76EPFLY4","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CO4L76EPFLY4UUML","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CO4L76EP","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:0c20408f0b845c16106e6ac961a9de5eb9afb69b9790f6fc284d41c538f5274d","target":"graph","created_at":"2026-05-18T01:22:08Z","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 show that the Dirac quantum cellular automaton [Ann. Phys. 354 (2015) 244] shares many properties in common with the discrete-time quantum walk. These similarities can be exploited to study the automaton as a unitary process that takes place at regular time steps on a one-dimensional lattice, in the spirit of general quantum cellular automata. In this way, it becomes an alternative to the quantum walk, with a dispersion relation that can be controlled by a parameter, which plays a similar role to the coin angle in the quantum walk. The Dirac Hamiltonian is recovered under a suitable limit. ","authors_text":"A. P\\'erez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-28T10:43:24Z","title":"Asymptotic properties of the Dirac quantum cellular automaton"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07418","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:ec2e5d8abe198dcb8a6573d30bfde19347560438a2802710f307c759331ecaae","target":"record","created_at":"2026-05-18T01:22:08Z","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":"21402bc79ea5bd22d49c95799b812a14cc7462789248a3f864d39b2b1d3618a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-28T10:43:24Z","title_canon_sha256":"af4dfa912876ddde12b8a4bf700a65958842e6207286dceb55ddbb072a4a1bb7"},"schema_version":"1.0","source":{"id":"1504.07418","kind":"arxiv","version":2}},"canonical_sha256":"13b8bff88f2af1ca518b73a45bd0484dad6dfbf78c7e21bd270ba720a2749d5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13b8bff88f2af1ca518b73a45bd0484dad6dfbf78c7e21bd270ba720a2749d5e","first_computed_at":"2026-05-18T01:22:08.042084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:08.042084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0O9ewQBq6uM8dyxOLeomzAxixPmcZvl96sWY0744wd9SzC07hMKRSzHmUhWYeDMBSZSUEjBRuF1n8n0Ap2SUDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:08.042757Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.07418","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec2e5d8abe198dcb8a6573d30bfde19347560438a2802710f307c759331ecaae","sha256:0c20408f0b845c16106e6ac961a9de5eb9afb69b9790f6fc284d41c538f5274d"],"state_sha256":"cb5c067ebc7fb56fe012ebb0c05570b063ed0da3005ea9e0f6792c19ac2b3933"}