{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MSHPWVSZWRZBGHUSRSUZHJS7CB","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":"c0655fa4e1bcc71abd568e0b7689f5dd5dc1e43a6ad5ef57408f6deb4748872d","cross_cats_sorted":["hep-lat","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-04T12:12:15Z","title_canon_sha256":"d172358a9019817bc49251d45461f8af04d213e2a87e8d7f2a0f109ef380ac86"},"schema_version":"1.0","source":{"id":"1406.1021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1021","created_at":"2026-05-18T01:24:08Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1021v1","created_at":"2026-05-18T01:24:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1021","created_at":"2026-05-18T01:24:08Z"},{"alias_kind":"pith_short_12","alias_value":"MSHPWVSZWRZB","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MSHPWVSZWRZBGHUS","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MSHPWVSZ","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:8620c2f8ad047a91c491d7b822de60a20d6a401a53b27d0d8ebeebb4c15bd9c7","target":"graph","created_at":"2026-05-18T01:24:08Z","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":"Quantum cellular automata have been recently considered as a fundamental approach to quantum field theory, resorting to a precise automaton, linear in the field, for the Dirac equation in one dimension. In such linear case a quantum automaton is isomorphic to a quantum walk, and a convenient formulation can be given in terms of transition matrices, leading to a new kind of discrete path integral that we solve analytically in terms of Jacobi polynomials versus the arbitrary mass parameter.","authors_text":"Alessandro Tosini, Giacomo Mauro D'Ariano, Nicola Mosco, Paolo Perinotti","cross_cats":["hep-lat","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-04T12:12:15Z","title":"Path-integral solution of the one-dimensional Dirac quantum cellular automaton"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1021","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:a5228368515ce20b8044fa1c47525abf9ea539a08fb1fddd978d155ea24cbb3c","target":"record","created_at":"2026-05-18T01:24:08Z","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":"c0655fa4e1bcc71abd568e0b7689f5dd5dc1e43a6ad5ef57408f6deb4748872d","cross_cats_sorted":["hep-lat","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-04T12:12:15Z","title_canon_sha256":"d172358a9019817bc49251d45461f8af04d213e2a87e8d7f2a0f109ef380ac86"},"schema_version":"1.0","source":{"id":"1406.1021","kind":"arxiv","version":1}},"canonical_sha256":"648efb5659b472131e928ca993a65f104b1f73b66e43712af7ca40f5685243e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"648efb5659b472131e928ca993a65f104b1f73b66e43712af7ca40f5685243e0","first_computed_at":"2026-05-18T01:24:08.866839Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:08.866839Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cGpABSZXumYemsZkkNcpFFMZq4TA9OwCLKV7e7Ex7dpEkSqtKvZ/17IzF/I/QPF0hlUNIIFloyMEdbgOjrEABQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:08.867514Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.1021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5228368515ce20b8044fa1c47525abf9ea539a08fb1fddd978d155ea24cbb3c","sha256:8620c2f8ad047a91c491d7b822de60a20d6a401a53b27d0d8ebeebb4c15bd9c7"],"state_sha256":"7d7bcdaa72d3b6c8da785842a2d6a3bfcbfdd0f33cffdfb5e30586140282a39b"}