{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:336MTWZ5MUQOBESZCH4KCNAG2B","short_pith_number":"pith:336MTWZ5","canonical_record":{"source":{"id":"2201.12337","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-01-28T18:58:21Z","cross_cats_sorted":[],"title_canon_sha256":"fc623e6b76d47423e14c540ef0b0675b8099409bd4036c9cfebc706589fa3d60","abstract_canon_sha256":"23fdf1c38434ede91cb239b98e8bd0c3b7cf557a5794afd8ae014e124356a11b"},"schema_version":"1.0"},"canonical_sha256":"defcc9db3d6520e0925911f8a13406d04408f16ec73c3d9ada45d18666fbff42","source":{"kind":"arxiv","id":"2201.12337","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.12337","created_at":"2026-07-05T04:03:28Z"},{"alias_kind":"arxiv_version","alias_value":"2201.12337v2","created_at":"2026-07-05T04:03:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.12337","created_at":"2026-07-05T04:03:28Z"},{"alias_kind":"pith_short_12","alias_value":"336MTWZ5MUQO","created_at":"2026-07-05T04:03:28Z"},{"alias_kind":"pith_short_16","alias_value":"336MTWZ5MUQOBESZ","created_at":"2026-07-05T04:03:28Z"},{"alias_kind":"pith_short_8","alias_value":"336MTWZ5","created_at":"2026-07-05T04:03:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:336MTWZ5MUQOBESZCH4KCNAG2B","target":"record","payload":{"canonical_record":{"source":{"id":"2201.12337","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-01-28T18:58:21Z","cross_cats_sorted":[],"title_canon_sha256":"fc623e6b76d47423e14c540ef0b0675b8099409bd4036c9cfebc706589fa3d60","abstract_canon_sha256":"23fdf1c38434ede91cb239b98e8bd0c3b7cf557a5794afd8ae014e124356a11b"},"schema_version":"1.0"},"canonical_sha256":"defcc9db3d6520e0925911f8a13406d04408f16ec73c3d9ada45d18666fbff42","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:03:28.069589Z","signature_b64":"bu/CX5JIsNI3dkhKlpUT9UwtrQBretEOWRM3pzu6IP64xNzG1NlEdaTm94Rg4VVe79PMyWpaYDq+LNaBsukQAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"defcc9db3d6520e0925911f8a13406d04408f16ec73c3d9ada45d18666fbff42","last_reissued_at":"2026-07-05T04:03:28.069202Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:03:28.069202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2201.12337","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":"2026-07-05T04:03:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OTjUfzeDAQZgasApDMhT0y/CJtuQIissveIkE5y64/IT63tk9KN0xumbTQziQeumuD9PVBSbODdFf1qk8XMfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:56:04.438740Z"},"content_sha256":"c82c3e419112b15bf2995b92ca7877766d96842817f31badddc44ecb8d6003a4","schema_version":"1.0","event_id":"sha256:c82c3e419112b15bf2995b92ca7877766d96842817f31badddc44ecb8d6003a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:336MTWZ5MUQOBESZCH4KCNAG2B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Encoding qubits in multimode grid states","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Baptiste Royer, Shraddha Singh, Steven M. Girvin","submitted_at":"2022-01-28T18:58:21Z","abstract_excerpt":"Encoding logical quantum information in harmonic oscillator modes is a promising and hardware-efficient approach to the realization of a quantum computer. In this work, we propose to encode logical qubits in grid states of an ensemble of harmonic oscillator modes. We first discuss general results about these multimode bosonic codes; how to design them, how to practically implement them in different experimental platforms and how lattice symmetries can be leveraged to perform logical non-Clifford operations. We then introduce in detail two two-mode grid codes based on the hypercubic and D4 latt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.12337","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2201.12337/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:03:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vP0BAHc0sWFgku7WQwxxTBc5LdcoTfhJM2gY6QfrHL9lVyDZQjOuQmR40Q4SXsoS5Oh4DHvLAPNLFoHNH4cICA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:56:04.439685Z"},"content_sha256":"b3bc6cfd915525926e78e19ccfd73d14e3024d88525ec6333b68e743b4cf177b","schema_version":"1.0","event_id":"sha256:b3bc6cfd915525926e78e19ccfd73d14e3024d88525ec6333b68e743b4cf177b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/336MTWZ5MUQOBESZCH4KCNAG2B/bundle.json","state_url":"https://pith.science/pith/336MTWZ5MUQOBESZCH4KCNAG2B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/336MTWZ5MUQOBESZCH4KCNAG2B/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":"2026-08-03T18:56:04Z","links":{"resolver":"https://pith.science/pith/336MTWZ5MUQOBESZCH4KCNAG2B","bundle":"https://pith.science/pith/336MTWZ5MUQOBESZCH4KCNAG2B/bundle.json","state":"https://pith.science/pith/336MTWZ5MUQOBESZCH4KCNAG2B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/336MTWZ5MUQOBESZCH4KCNAG2B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:336MTWZ5MUQOBESZCH4KCNAG2B","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":"23fdf1c38434ede91cb239b98e8bd0c3b7cf557a5794afd8ae014e124356a11b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-01-28T18:58:21Z","title_canon_sha256":"fc623e6b76d47423e14c540ef0b0675b8099409bd4036c9cfebc706589fa3d60"},"schema_version":"1.0","source":{"id":"2201.12337","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.12337","created_at":"2026-07-05T04:03:28Z"},{"alias_kind":"arxiv_version","alias_value":"2201.12337v2","created_at":"2026-07-05T04:03:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.12337","created_at":"2026-07-05T04:03:28Z"},{"alias_kind":"pith_short_12","alias_value":"336MTWZ5MUQO","created_at":"2026-07-05T04:03:28Z"},{"alias_kind":"pith_short_16","alias_value":"336MTWZ5MUQOBESZ","created_at":"2026-07-05T04:03:28Z"},{"alias_kind":"pith_short_8","alias_value":"336MTWZ5","created_at":"2026-07-05T04:03:28Z"}],"graph_snapshots":[{"event_id":"sha256:b3bc6cfd915525926e78e19ccfd73d14e3024d88525ec6333b68e743b4cf177b","target":"graph","created_at":"2026-07-05T04:03:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2201.12337/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Encoding logical quantum information in harmonic oscillator modes is a promising and hardware-efficient approach to the realization of a quantum computer. In this work, we propose to encode logical qubits in grid states of an ensemble of harmonic oscillator modes. We first discuss general results about these multimode bosonic codes; how to design them, how to practically implement them in different experimental platforms and how lattice symmetries can be leveraged to perform logical non-Clifford operations. We then introduce in detail two two-mode grid codes based on the hypercubic and D4 latt","authors_text":"Baptiste Royer, Shraddha Singh, Steven M. Girvin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-01-28T18:58:21Z","title":"Encoding qubits in multimode grid states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.12337","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:c82c3e419112b15bf2995b92ca7877766d96842817f31badddc44ecb8d6003a4","target":"record","created_at":"2026-07-05T04:03:28Z","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":"23fdf1c38434ede91cb239b98e8bd0c3b7cf557a5794afd8ae014e124356a11b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-01-28T18:58:21Z","title_canon_sha256":"fc623e6b76d47423e14c540ef0b0675b8099409bd4036c9cfebc706589fa3d60"},"schema_version":"1.0","source":{"id":"2201.12337","kind":"arxiv","version":2}},"canonical_sha256":"defcc9db3d6520e0925911f8a13406d04408f16ec73c3d9ada45d18666fbff42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"defcc9db3d6520e0925911f8a13406d04408f16ec73c3d9ada45d18666fbff42","first_computed_at":"2026-07-05T04:03:28.069202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:03:28.069202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bu/CX5JIsNI3dkhKlpUT9UwtrQBretEOWRM3pzu6IP64xNzG1NlEdaTm94Rg4VVe79PMyWpaYDq+LNaBsukQAg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:03:28.069589Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.12337","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c82c3e419112b15bf2995b92ca7877766d96842817f31badddc44ecb8d6003a4","sha256:b3bc6cfd915525926e78e19ccfd73d14e3024d88525ec6333b68e743b4cf177b"],"state_sha256":"e1a7c7d22e74da48a47581396045ceaa51305ef65ecdc6423ff6d2adedb7f898"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sgZqEkrRFy6PbiXDB/+uZFf9orrVVHDpUb4zW+ckin0jeFhDmdOXIj/yUwEdHZoxsedeC5qIRlEbvrACK5LSDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T18:56:04.444658Z","bundle_sha256":"e21274fe1c2cba82551b37052d2a6156a641424270b4d84c195e6c83b47fa2b1"}}