{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:Z5HRATZKNXPSDMDFTT3DS4RG7Z","short_pith_number":"pith:Z5HRATZK","canonical_record":{"source":{"id":"0811.0421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-11-04T04:49:18Z","cross_cats_sorted":[],"title_canon_sha256":"48dce392772c055f22c906b192e0166cdf96a72519b73a07cfdd2bb24ed3964e","abstract_canon_sha256":"1c3afbb5d95baa76e8b30a6b3f20fa69a843a1a4398d77e1f493c1925e884776"},"schema_version":"1.0"},"canonical_sha256":"cf4f104f2a6ddf21b0659cf6397226fe6f07243d3ec737a317cc7b2bc418d173","source":{"kind":"arxiv","id":"0811.0421","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.0421","created_at":"2026-07-04T15:45:28Z"},{"alias_kind":"arxiv_version","alias_value":"0811.0421v1","created_at":"2026-07-04T15:45:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.0421","created_at":"2026-07-04T15:45:28Z"},{"alias_kind":"pith_short_12","alias_value":"Z5HRATZKNXPS","created_at":"2026-07-04T15:45:28Z"},{"alias_kind":"pith_short_16","alias_value":"Z5HRATZKNXPSDMDF","created_at":"2026-07-04T15:45:28Z"},{"alias_kind":"pith_short_8","alias_value":"Z5HRATZK","created_at":"2026-07-04T15:45:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:Z5HRATZKNXPSDMDFTT3DS4RG7Z","target":"record","payload":{"canonical_record":{"source":{"id":"0811.0421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-11-04T04:49:18Z","cross_cats_sorted":[],"title_canon_sha256":"48dce392772c055f22c906b192e0166cdf96a72519b73a07cfdd2bb24ed3964e","abstract_canon_sha256":"1c3afbb5d95baa76e8b30a6b3f20fa69a843a1a4398d77e1f493c1925e884776"},"schema_version":"1.0"},"canonical_sha256":"cf4f104f2a6ddf21b0659cf6397226fe6f07243d3ec737a317cc7b2bc418d173","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:45:28.832374Z","signature_b64":"Nv70BUx64mcamEoXdNteWHn0TXdwFB046NFWHY/nuh4Y02tO4t6FOxd4di42fIMaP33HOg/tnxpOPqAPA/6RBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf4f104f2a6ddf21b0659cf6397226fe6f07243d3ec737a317cc7b2bc418d173","last_reissued_at":"2026-07-04T15:45:28.831938Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:45:28.831938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0811.0421","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:45:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xlY3Vo9PYQb9/c0Lb9BPEpJwlvmnAOv/PJCPdKNEmoSbNEUAOnTLcHadyGU/GeOO3bgBG0FFUYyRAuFDid+9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T07:20:40.255580Z"},"content_sha256":"c773865c9068e93684c9610ba09733b67a40fa5229d26ba8f58bcd668c507f4c","schema_version":"1.0","event_id":"sha256:c773865c9068e93684c9610ba09733b67a40fa5229d26ba8f58bcd668c507f4c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:Z5HRATZKNXPSDMDFTT3DS4RG7Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum error correction on infinite-dimensional Hilbert spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Achim Kempf, C\\'edric B\\'eny, David W. Kribs","submitted_at":"2008-11-04T04:49:18Z","abstract_excerpt":"We present a generalization of quantum error correction to infinite-dimensional Hilbert spaces. The generalization yields new classes of quantum error correcting codes that have no finite-dimensional counterparts. The error correction theory we develop begins with a shift of focus from states to algebras of observables. Standard subspace codes and subsystem codes are seen as the special case of algebras of observables given by finite-dimensional von Neumann factors of type I. Our generalization allows for the correction of codes characterized by any von Neumann algebra and we give examples, in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.0421","kind":"arxiv","version":1},"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/0811.0421/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":"2026-07-04T15:45:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5X9XZmw52PmLSN3OqIaM4u/BbiyOsiEsQuDOedtBVemEqfc4Zlz1l29hWguOEp2hMuL9mZdqBDv6pLCfcMDmAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T07:20:40.255971Z"},"content_sha256":"b17f8bbe9766b9d9a7bbcda94825e36714e381fd075e718b35b8a375e2a90211","schema_version":"1.0","event_id":"sha256:b17f8bbe9766b9d9a7bbcda94825e36714e381fd075e718b35b8a375e2a90211"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z5HRATZKNXPSDMDFTT3DS4RG7Z/bundle.json","state_url":"https://pith.science/pith/Z5HRATZKNXPSDMDFTT3DS4RG7Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z5HRATZKNXPSDMDFTT3DS4RG7Z/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":"2026-07-11T07:20:40Z","links":{"resolver":"https://pith.science/pith/Z5HRATZKNXPSDMDFTT3DS4RG7Z","bundle":"https://pith.science/pith/Z5HRATZKNXPSDMDFTT3DS4RG7Z/bundle.json","state":"https://pith.science/pith/Z5HRATZKNXPSDMDFTT3DS4RG7Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z5HRATZKNXPSDMDFTT3DS4RG7Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:Z5HRATZKNXPSDMDFTT3DS4RG7Z","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":"1c3afbb5d95baa76e8b30a6b3f20fa69a843a1a4398d77e1f493c1925e884776","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-11-04T04:49:18Z","title_canon_sha256":"48dce392772c055f22c906b192e0166cdf96a72519b73a07cfdd2bb24ed3964e"},"schema_version":"1.0","source":{"id":"0811.0421","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.0421","created_at":"2026-07-04T15:45:28Z"},{"alias_kind":"arxiv_version","alias_value":"0811.0421v1","created_at":"2026-07-04T15:45:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.0421","created_at":"2026-07-04T15:45:28Z"},{"alias_kind":"pith_short_12","alias_value":"Z5HRATZKNXPS","created_at":"2026-07-04T15:45:28Z"},{"alias_kind":"pith_short_16","alias_value":"Z5HRATZKNXPSDMDF","created_at":"2026-07-04T15:45:28Z"},{"alias_kind":"pith_short_8","alias_value":"Z5HRATZK","created_at":"2026-07-04T15:45:28Z"}],"graph_snapshots":[{"event_id":"sha256:b17f8bbe9766b9d9a7bbcda94825e36714e381fd075e718b35b8a375e2a90211","target":"graph","created_at":"2026-07-04T15:45:28Z","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/0811.0421/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a generalization of quantum error correction to infinite-dimensional Hilbert spaces. The generalization yields new classes of quantum error correcting codes that have no finite-dimensional counterparts. The error correction theory we develop begins with a shift of focus from states to algebras of observables. Standard subspace codes and subsystem codes are seen as the special case of algebras of observables given by finite-dimensional von Neumann factors of type I. Our generalization allows for the correction of codes characterized by any von Neumann algebra and we give examples, in","authors_text":"Achim Kempf, C\\'edric B\\'eny, David W. Kribs","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-11-04T04:49:18Z","title":"Quantum error correction on infinite-dimensional Hilbert spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.0421","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:c773865c9068e93684c9610ba09733b67a40fa5229d26ba8f58bcd668c507f4c","target":"record","created_at":"2026-07-04T15:45:28Z","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":"1c3afbb5d95baa76e8b30a6b3f20fa69a843a1a4398d77e1f493c1925e884776","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-11-04T04:49:18Z","title_canon_sha256":"48dce392772c055f22c906b192e0166cdf96a72519b73a07cfdd2bb24ed3964e"},"schema_version":"1.0","source":{"id":"0811.0421","kind":"arxiv","version":1}},"canonical_sha256":"cf4f104f2a6ddf21b0659cf6397226fe6f07243d3ec737a317cc7b2bc418d173","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf4f104f2a6ddf21b0659cf6397226fe6f07243d3ec737a317cc7b2bc418d173","first_computed_at":"2026-07-04T15:45:28.831938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:45:28.831938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nv70BUx64mcamEoXdNteWHn0TXdwFB046NFWHY/nuh4Y02tO4t6FOxd4di42fIMaP33HOg/tnxpOPqAPA/6RBw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:45:28.832374Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.0421","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c773865c9068e93684c9610ba09733b67a40fa5229d26ba8f58bcd668c507f4c","sha256:b17f8bbe9766b9d9a7bbcda94825e36714e381fd075e718b35b8a375e2a90211"],"state_sha256":"52c338a56c5eb87abc588968cd11ae6d811729965825d96decc62fc4873a4ff5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fV1JdvHk8VexbgfH4JzzcLyF9P1Ol3fqPuDzBCKluP5FCr/30xQ9lGP3uw8gPamVCg138ZahXOJR5e+v8oSPCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-11T07:20:40.258060Z","bundle_sha256":"84a2c292ee70ef796f7641c3cad30e5147c27b727a51d9facf7780ca51b19655"}}