{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FQ5GLDN4GOTNZXALCLK4CWCQ7T","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":"d8c4aa644a9fa441aa74e4c41082c6fe5fff4a9e529d991011031a7b6e13deeb","cross_cats_sorted":["cond-mat.mes-hall","hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-12-06T15:30:52Z","title_canon_sha256":"81b5dd1346a1ecc14364b9fe29042a56895d628e78df4cb79d767b6b6c4ffece"},"schema_version":"1.0","source":{"id":"1812.02601","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.02601","created_at":"2026-05-17T23:58:55Z"},{"alias_kind":"arxiv_version","alias_value":"1812.02601v1","created_at":"2026-05-17T23:58:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.02601","created_at":"2026-05-17T23:58:55Z"},{"alias_kind":"pith_short_12","alias_value":"FQ5GLDN4GOTN","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FQ5GLDN4GOTNZXAL","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FQ5GLDN4","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:b65f7667762a424746622c4ae0522d90780f46a21580288d774ecd6044b1969e","target":"graph","created_at":"2026-05-17T23:58:55Z","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":"A discrete-time Quantum Walk (QW) is an operator driving the evolution of a single particle on the lattice, through local unitaries. Some QW admit, as their continuum limit, a well-known equation of Physics. In arXiv:1803.01015 the QW is over the honeycomb and triangular lattices, and simulates the Dirac equation. We apply a spacetime coordinate transformation upon the lattice of this QW, and show that it is equivalent to introducing spacetime-dependent local unitaries --- whilst keeping the lattice fixed. By exploiting this duality between changes in geometry, and changes in local unitaries, ","authors_text":"Armando P\\'erez, Giuseppe Di Molfetta, Iv\\'an M\\'arquez-Mart\\'in, Pablo Arrighi","cross_cats":["cond-mat.mes-hall","hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-12-06T15:30:52Z","title":"From curved spacetime to spacetime-dependent local unitaries over the honeycomb and triangular Quantum Walks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.02601","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:bd70cbc27b2af825d437f774a44a726fec69519788de179a33d321f0f58332db","target":"record","created_at":"2026-05-17T23:58:55Z","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":"d8c4aa644a9fa441aa74e4c41082c6fe5fff4a9e529d991011031a7b6e13deeb","cross_cats_sorted":["cond-mat.mes-hall","hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-12-06T15:30:52Z","title_canon_sha256":"81b5dd1346a1ecc14364b9fe29042a56895d628e78df4cb79d767b6b6c4ffece"},"schema_version":"1.0","source":{"id":"1812.02601","kind":"arxiv","version":1}},"canonical_sha256":"2c3a658dbc33a6dcdc0b12d5c15850fced1faf5f046253db69128f19c623262b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c3a658dbc33a6dcdc0b12d5c15850fced1faf5f046253db69128f19c623262b","first_computed_at":"2026-05-17T23:58:55.339810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:55.339810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0InLW0FbaxUtpCWgHNYDFuYCSxBVERBJtFWfedmwnMcF99lugmfLU4E9cMr9eyeqDfqlL2xJbbSzQ+sOIDNyDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:55.340195Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.02601","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd70cbc27b2af825d437f774a44a726fec69519788de179a33d321f0f58332db","sha256:b65f7667762a424746622c4ae0522d90780f46a21580288d774ecd6044b1969e"],"state_sha256":"b2c0b3cebda5c86e203be65daa3864eddb75937e083936bafc1ee707e9dd4568"}