{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:N2ZSRHTSIXLP7VWETSOZYG4U3O","short_pith_number":"pith:N2ZSRHTS","canonical_record":{"source":{"id":"2410.00155","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-09-30T18:55:09Z","cross_cats_sorted":[],"title_canon_sha256":"80bef6419c3dc6736cabccba163d8c3b7b4dffe7d3f1982937a15f05eed6095f","abstract_canon_sha256":"23c52c81e42a1cd0fa5d31ff913cb527fca077c85ecc1495b23586a77a710d35"},"schema_version":"1.0"},"canonical_sha256":"6eb3289e7245d6ffd6c49c9d9c1b94dbb826bfd304ef02ab54b5b0a09a32501a","source":{"kind":"arxiv","id":"2410.00155","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.00155","created_at":"2026-07-16T01:22:23Z"},{"alias_kind":"arxiv_version","alias_value":"2410.00155v4","created_at":"2026-07-16T01:22:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.00155","created_at":"2026-07-16T01:22:23Z"},{"alias_kind":"pith_short_12","alias_value":"N2ZSRHTSIXLP","created_at":"2026-07-16T01:22:23Z"},{"alias_kind":"pith_short_16","alias_value":"N2ZSRHTSIXLP7VWE","created_at":"2026-07-16T01:22:23Z"},{"alias_kind":"pith_short_8","alias_value":"N2ZSRHTS","created_at":"2026-07-16T01:22:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:N2ZSRHTSIXLP7VWETSOZYG4U3O","target":"record","payload":{"canonical_record":{"source":{"id":"2410.00155","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-09-30T18:55:09Z","cross_cats_sorted":[],"title_canon_sha256":"80bef6419c3dc6736cabccba163d8c3b7b4dffe7d3f1982937a15f05eed6095f","abstract_canon_sha256":"23c52c81e42a1cd0fa5d31ff913cb527fca077c85ecc1495b23586a77a710d35"},"schema_version":"1.0"},"canonical_sha256":"6eb3289e7245d6ffd6c49c9d9c1b94dbb826bfd304ef02ab54b5b0a09a32501a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-16T01:22:23.018877Z","signature_b64":"rb1jBMFWU7bK1Af5wqAbhVsfA9+SFVdRXvv7RGOq66OdAuyrzufqPzBdYQ1Of10YtVnSAbefqMEqqGsopKKwDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6eb3289e7245d6ffd6c49c9d9c1b94dbb826bfd304ef02ab54b5b0a09a32501a","last_reissued_at":"2026-07-16T01:22:23.017918Z","signature_status":"signed_v1","first_computed_at":"2026-07-16T01:22:23.017918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.00155","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-16T01:22:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qegb0iT5jGmvVi+XUvEqGPnMe0u7eHFqpCdiP4AVCBTBBkyTGSTjUBed43mv3BLAVRNogo6oOyc2iquoGekyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T20:08:33.474770Z"},"content_sha256":"47c58924d516067da173bf85b5e1adcdf858851ea9ef8479e9701d75ff886094","schema_version":"1.0","event_id":"sha256:47c58924d516067da173bf85b5e1adcdf858851ea9ef8479e9701d75ff886094"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:N2ZSRHTSIXLP7VWETSOZYG4U3O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Smallest quantum codes for amplitude damping noise","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Aditya Jain, Prabha Mandayam, Sourav Dutta","submitted_at":"2024-09-30T18:55:09Z","abstract_excerpt":"We describe the smallest quantum error correcting (QEC) code to correct for amplitude-damping (AD) noise, namely, a 3-qubit code that corrects all the single-qubit damping errors. We generalize this construction to a family of codes that correct AD noise up to any fixed order of the damping strength. We underpin the fundamental connection between the structure of our codes and the noise structure, via a relaxed form of the Knill-Laflamme conditions, different from existing formulations of approximate QEC conditions. Although the recovery procedure for this code is non-deterministic, our codes "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.00155","kind":"arxiv","version":4},"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/2410.00155/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":"2026-07-16T01:22:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ibd9J35bwcvgZMP7NSsFvNuKGZ+43g5QlsWBVgvRL5rbN50DNHFXfu8dHL6f3b2/cLFCVQbDZ6CmSnVhlh6WAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T20:08:33.475251Z"},"content_sha256":"a1540df11e3c92dac589982c160b9f058c3a716980e80f39cf96dd2ec1eb7b66","schema_version":"1.0","event_id":"sha256:a1540df11e3c92dac589982c160b9f058c3a716980e80f39cf96dd2ec1eb7b66"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N2ZSRHTSIXLP7VWETSOZYG4U3O/bundle.json","state_url":"https://pith.science/pith/N2ZSRHTSIXLP7VWETSOZYG4U3O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N2ZSRHTSIXLP7VWETSOZYG4U3O/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":"2026-08-08T20:08:33Z","links":{"resolver":"https://pith.science/pith/N2ZSRHTSIXLP7VWETSOZYG4U3O","bundle":"https://pith.science/pith/N2ZSRHTSIXLP7VWETSOZYG4U3O/bundle.json","state":"https://pith.science/pith/N2ZSRHTSIXLP7VWETSOZYG4U3O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N2ZSRHTSIXLP7VWETSOZYG4U3O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:N2ZSRHTSIXLP7VWETSOZYG4U3O","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":"23c52c81e42a1cd0fa5d31ff913cb527fca077c85ecc1495b23586a77a710d35","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-09-30T18:55:09Z","title_canon_sha256":"80bef6419c3dc6736cabccba163d8c3b7b4dffe7d3f1982937a15f05eed6095f"},"schema_version":"1.0","source":{"id":"2410.00155","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.00155","created_at":"2026-07-16T01:22:23Z"},{"alias_kind":"arxiv_version","alias_value":"2410.00155v4","created_at":"2026-07-16T01:22:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.00155","created_at":"2026-07-16T01:22:23Z"},{"alias_kind":"pith_short_12","alias_value":"N2ZSRHTSIXLP","created_at":"2026-07-16T01:22:23Z"},{"alias_kind":"pith_short_16","alias_value":"N2ZSRHTSIXLP7VWE","created_at":"2026-07-16T01:22:23Z"},{"alias_kind":"pith_short_8","alias_value":"N2ZSRHTS","created_at":"2026-07-16T01:22:23Z"}],"graph_snapshots":[{"event_id":"sha256:a1540df11e3c92dac589982c160b9f058c3a716980e80f39cf96dd2ec1eb7b66","target":"graph","created_at":"2026-07-16T01:22:23Z","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/2410.00155/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe the smallest quantum error correcting (QEC) code to correct for amplitude-damping (AD) noise, namely, a 3-qubit code that corrects all the single-qubit damping errors. We generalize this construction to a family of codes that correct AD noise up to any fixed order of the damping strength. We underpin the fundamental connection between the structure of our codes and the noise structure, via a relaxed form of the Knill-Laflamme conditions, different from existing formulations of approximate QEC conditions. Although the recovery procedure for this code is non-deterministic, our codes ","authors_text":"Aditya Jain, Prabha Mandayam, Sourav Dutta","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-09-30T18:55:09Z","title":"Smallest quantum codes for amplitude damping noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.00155","kind":"arxiv","version":4},"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":"sha256:47c58924d516067da173bf85b5e1adcdf858851ea9ef8479e9701d75ff886094","target":"record","created_at":"2026-07-16T01:22:23Z","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":"23c52c81e42a1cd0fa5d31ff913cb527fca077c85ecc1495b23586a77a710d35","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-09-30T18:55:09Z","title_canon_sha256":"80bef6419c3dc6736cabccba163d8c3b7b4dffe7d3f1982937a15f05eed6095f"},"schema_version":"1.0","source":{"id":"2410.00155","kind":"arxiv","version":4}},"canonical_sha256":"6eb3289e7245d6ffd6c49c9d9c1b94dbb826bfd304ef02ab54b5b0a09a32501a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6eb3289e7245d6ffd6c49c9d9c1b94dbb826bfd304ef02ab54b5b0a09a32501a","first_computed_at":"2026-07-16T01:22:23.017918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-16T01:22:23.017918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rb1jBMFWU7bK1Af5wqAbhVsfA9+SFVdRXvv7RGOq66OdAuyrzufqPzBdYQ1Of10YtVnSAbefqMEqqGsopKKwDw==","signature_status":"signed_v1","signed_at":"2026-07-16T01:22:23.018877Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.00155","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47c58924d516067da173bf85b5e1adcdf858851ea9ef8479e9701d75ff886094","sha256:a1540df11e3c92dac589982c160b9f058c3a716980e80f39cf96dd2ec1eb7b66"],"state_sha256":"c6ad8f475036b547ce85c4c18cb606262baf9826423f3221fb0febc18cf8a905"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g6y3xTk6Q6miA4GHiKqV8+aqDM3F4Ic2hmKCULoMXZKT1jz3k38C1Oeor+r2RK7UobWoXhn8D5qfaH4w5ZXzBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T20:08:33.479831Z","bundle_sha256":"002f083b53d1a6c3b88fc6f3177fa1daec6e43e97f348bf5191109d1b0951d12"}}