{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:MW7QAFETHSA7DOYZ2J5CIDICHL","short_pith_number":"pith:MW7QAFET","canonical_record":{"source":{"id":"1209.5367","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-09-24T19:02:08Z","cross_cats_sorted":["math.FA","math.MP","math.RT","nlin.CG","quant-ph"],"title_canon_sha256":"3f1f880ae83a8bf6c131a8e7bfe33d392d9d4d17d610d81a7e87351438dc479b","abstract_canon_sha256":"f85d020d32bc997c56502e8da57500ef5a0743cbb657a3897a270af8f116ddc2"},"schema_version":"1.0"},"canonical_sha256":"65bf0014933c81f1bb19d27a240d023ae3227f9861237f830f761bca96a48d1e","source":{"kind":"arxiv","id":"1209.5367","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.5367","created_at":"2026-05-18T03:02:17Z"},{"alias_kind":"arxiv_version","alias_value":"1209.5367v2","created_at":"2026-05-18T03:02:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5367","created_at":"2026-05-18T03:02:17Z"},{"alias_kind":"pith_short_12","alias_value":"MW7QAFETHSA7","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MW7QAFETHSA7DOYZ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MW7QAFET","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:MW7QAFETHSA7DOYZ2J5CIDICHL","target":"record","payload":{"canonical_record":{"source":{"id":"1209.5367","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-09-24T19:02:08Z","cross_cats_sorted":["math.FA","math.MP","math.RT","nlin.CG","quant-ph"],"title_canon_sha256":"3f1f880ae83a8bf6c131a8e7bfe33d392d9d4d17d610d81a7e87351438dc479b","abstract_canon_sha256":"f85d020d32bc997c56502e8da57500ef5a0743cbb657a3897a270af8f116ddc2"},"schema_version":"1.0"},"canonical_sha256":"65bf0014933c81f1bb19d27a240d023ae3227f9861237f830f761bca96a48d1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:17.863417Z","signature_b64":"GiPBRkvQomqFeApbzP1SbOqNOmabacrl7BfXZsp1JXN0xOQfmp4dt1RZR9R28PLLVKsXjFEaft5CwVzoi2cRAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65bf0014933c81f1bb19d27a240d023ae3227f9861237f830f761bca96a48d1e","last_reissued_at":"2026-05-18T03:02:17.862803Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:17.862803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.5367","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:02:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F7EblrWMy4qH+x2dTnyRbLDS1uGhWMQjF5VNWUlw4faD7+a2q1DT0SmnFFoRj4Jxb8N5273tQOVkfJ4aYVUrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T09:12:14.821896Z"},"content_sha256":"d8238131394d64fbcd56de72a8b5595c435a85a6e494cf57d9a6c07941ad8e80","schema_version":"1.0","event_id":"sha256:d8238131394d64fbcd56de72a8b5595c435a85a6e494cf57d9a6c07941ad8e80"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:MW7QAFETHSA7DOYZ2J5CIDICHL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"When is a Quantum Cellular Automaton (QCA) a Quantum Lattice Gas Automaton (QLGA)?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.MP","math.RT","nlin.CG","quant-ph"],"primary_cat":"math-ph","authors_text":"Asif Shakeel, Peter J. Love","submitted_at":"2012-09-24T19:02:08Z","abstract_excerpt":"Quantum cellular automata (QCA) are models of quantum computation of particular interest from the point of view of quantum simulation. Quantum lattice gas automata (QLGA - equivalently partitioned quantum cellular automata) represent an interesting subclass of QCA. QLGA have been more deeply analyzed than QCA, whereas general QCA are likely to capture a wider range of quantum behavior. Discriminating between QLGA and QCA is therefore an important question. In spite of much prior work, classifying which QCA are QLGA has remained an open problem. In the present paper we establish necessary and s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5367","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:02:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qzsnaWwsDc2M0HYNgccoAARIW3tAzntUUaTOvobR/8UqJtVO1FmjYE1oHWscf6NuEb7V43EoGZmfE6a1zZF3AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T09:12:14.822246Z"},"content_sha256":"a8110da4eac0c754c902af17170e95a399aabb592889f08bed2a562cdbfacf62","schema_version":"1.0","event_id":"sha256:a8110da4eac0c754c902af17170e95a399aabb592889f08bed2a562cdbfacf62"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MW7QAFETHSA7DOYZ2J5CIDICHL/bundle.json","state_url":"https://pith.science/pith/MW7QAFETHSA7DOYZ2J5CIDICHL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MW7QAFETHSA7DOYZ2J5CIDICHL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T09:12:14Z","links":{"resolver":"https://pith.science/pith/MW7QAFETHSA7DOYZ2J5CIDICHL","bundle":"https://pith.science/pith/MW7QAFETHSA7DOYZ2J5CIDICHL/bundle.json","state":"https://pith.science/pith/MW7QAFETHSA7DOYZ2J5CIDICHL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MW7QAFETHSA7DOYZ2J5CIDICHL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MW7QAFETHSA7DOYZ2J5CIDICHL","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":"f85d020d32bc997c56502e8da57500ef5a0743cbb657a3897a270af8f116ddc2","cross_cats_sorted":["math.FA","math.MP","math.RT","nlin.CG","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-09-24T19:02:08Z","title_canon_sha256":"3f1f880ae83a8bf6c131a8e7bfe33d392d9d4d17d610d81a7e87351438dc479b"},"schema_version":"1.0","source":{"id":"1209.5367","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.5367","created_at":"2026-05-18T03:02:17Z"},{"alias_kind":"arxiv_version","alias_value":"1209.5367v2","created_at":"2026-05-18T03:02:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5367","created_at":"2026-05-18T03:02:17Z"},{"alias_kind":"pith_short_12","alias_value":"MW7QAFETHSA7","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MW7QAFETHSA7DOYZ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MW7QAFET","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:a8110da4eac0c754c902af17170e95a399aabb592889f08bed2a562cdbfacf62","target":"graph","created_at":"2026-05-18T03:02:17Z","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 (QCA) are models of quantum computation of particular interest from the point of view of quantum simulation. Quantum lattice gas automata (QLGA - equivalently partitioned quantum cellular automata) represent an interesting subclass of QCA. QLGA have been more deeply analyzed than QCA, whereas general QCA are likely to capture a wider range of quantum behavior. Discriminating between QLGA and QCA is therefore an important question. In spite of much prior work, classifying which QCA are QLGA has remained an open problem. In the present paper we establish necessary and s","authors_text":"Asif Shakeel, Peter J. Love","cross_cats":["math.FA","math.MP","math.RT","nlin.CG","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-09-24T19:02:08Z","title":"When is a Quantum Cellular Automaton (QCA) a Quantum Lattice Gas Automaton (QLGA)?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5367","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:d8238131394d64fbcd56de72a8b5595c435a85a6e494cf57d9a6c07941ad8e80","target":"record","created_at":"2026-05-18T03:02:17Z","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":"f85d020d32bc997c56502e8da57500ef5a0743cbb657a3897a270af8f116ddc2","cross_cats_sorted":["math.FA","math.MP","math.RT","nlin.CG","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-09-24T19:02:08Z","title_canon_sha256":"3f1f880ae83a8bf6c131a8e7bfe33d392d9d4d17d610d81a7e87351438dc479b"},"schema_version":"1.0","source":{"id":"1209.5367","kind":"arxiv","version":2}},"canonical_sha256":"65bf0014933c81f1bb19d27a240d023ae3227f9861237f830f761bca96a48d1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65bf0014933c81f1bb19d27a240d023ae3227f9861237f830f761bca96a48d1e","first_computed_at":"2026-05-18T03:02:17.862803Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:17.862803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GiPBRkvQomqFeApbzP1SbOqNOmabacrl7BfXZsp1JXN0xOQfmp4dt1RZR9R28PLLVKsXjFEaft5CwVzoi2cRAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:17.863417Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.5367","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d8238131394d64fbcd56de72a8b5595c435a85a6e494cf57d9a6c07941ad8e80","sha256:a8110da4eac0c754c902af17170e95a399aabb592889f08bed2a562cdbfacf62"],"state_sha256":"60e4b3e563e5619ee1caee4133ef7d6a21c4efd7f81e48eea83701efc54755d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HE6hooB5b+Z+kCIG54CfZrYAC8U40AgM/X1uaiD1y2KUuNDRRsUTgsyfGRWCeZCYK2odFZzLd4PLSesmilDBAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T09:12:14.824408Z","bundle_sha256":"0db17656be17fcc627a43acaf590310812da2b57ebcb69a70345d74769a118ac"}}