{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:5OFKODL3ZJC6235N2JG5PSQ6ZS","short_pith_number":"pith:5OFKODL3","schema_version":"1.0","canonical_sha256":"eb8aa70d7bca45ed6fadd24dd7ca1ecc9b95059898cf659a47a0f2be15f27771","source":{"kind":"arxiv","id":"2509.03413","version":1},"attestation_state":"computed","paper":{"title":"An angular momentum approach to quantum insertion errors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Lewis Bulled, Yingkai Ouyang","submitted_at":"2025-09-03T15:39:24Z","abstract_excerpt":"Quantum insertion errors are a class of errors that increase the number of qubits in a quantum system. Despite a wealth of research on classical insertion errors, there has been limited progress towards a general framework for correcting quantum insertion errors. We detail a quantum error correction protocol that can correct single insertion errors on a class of gapped permutation-invariant codes. We provide a simple two-stage syndrome extraction protocol that yields a two-bit syndrome, by measuring the total angular momentum and its projection along the $z$-axis (modulo the code gap) of the p"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2509.03413","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-09-03T15:39:24Z","cross_cats_sorted":[],"title_canon_sha256":"6342cf8491212f052c1bbc1b93d1d1ff9aa9de177dff095c8e3a9e61255712ae","abstract_canon_sha256":"26234a95589bf61d4a3698b785b625254df5177fbc13cdf56ef3588f2b21fd97"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:04:22.247022Z","signature_b64":"gWynlTNh6SxOJiY+7g3yJFWacb1N3cdAV3uPGGnChcz8el1zDFCepQQu6i6BznqqdL/tK+kBJ55C/bsu53CoBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb8aa70d7bca45ed6fadd24dd7ca1ecc9b95059898cf659a47a0f2be15f27771","last_reissued_at":"2026-07-05T12:04:22.246573Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:04:22.246573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An angular momentum approach to quantum insertion errors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Lewis Bulled, Yingkai Ouyang","submitted_at":"2025-09-03T15:39:24Z","abstract_excerpt":"Quantum insertion errors are a class of errors that increase the number of qubits in a quantum system. Despite a wealth of research on classical insertion errors, there has been limited progress towards a general framework for correcting quantum insertion errors. We detail a quantum error correction protocol that can correct single insertion errors on a class of gapped permutation-invariant codes. We provide a simple two-stage syndrome extraction protocol that yields a two-bit syndrome, by measuring the total angular momentum and its projection along the $z$-axis (modulo the code gap) of the p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.03413","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/2509.03413/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2509.03413","created_at":"2026-07-05T12:04:22.246631+00:00"},{"alias_kind":"arxiv_version","alias_value":"2509.03413v1","created_at":"2026-07-05T12:04:22.246631+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.03413","created_at":"2026-07-05T12:04:22.246631+00:00"},{"alias_kind":"pith_short_12","alias_value":"5OFKODL3ZJC6","created_at":"2026-07-05T12:04:22.246631+00:00"},{"alias_kind":"pith_short_16","alias_value":"5OFKODL3ZJC6235N","created_at":"2026-07-05T12:04:22.246631+00:00"},{"alias_kind":"pith_short_8","alias_value":"5OFKODL3","created_at":"2026-07-05T12:04:22.246631+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5OFKODL3ZJC6235N2JG5PSQ6ZS","json":"https://pith.science/pith/5OFKODL3ZJC6235N2JG5PSQ6ZS.json","graph_json":"https://pith.science/api/pith-number/5OFKODL3ZJC6235N2JG5PSQ6ZS/graph.json","events_json":"https://pith.science/api/pith-number/5OFKODL3ZJC6235N2JG5PSQ6ZS/events.json","paper":"https://pith.science/paper/5OFKODL3"},"agent_actions":{"view_html":"https://pith.science/pith/5OFKODL3ZJC6235N2JG5PSQ6ZS","download_json":"https://pith.science/pith/5OFKODL3ZJC6235N2JG5PSQ6ZS.json","view_paper":"https://pith.science/paper/5OFKODL3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2509.03413&json=true","fetch_graph":"https://pith.science/api/pith-number/5OFKODL3ZJC6235N2JG5PSQ6ZS/graph.json","fetch_events":"https://pith.science/api/pith-number/5OFKODL3ZJC6235N2JG5PSQ6ZS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5OFKODL3ZJC6235N2JG5PSQ6ZS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5OFKODL3ZJC6235N2JG5PSQ6ZS/action/storage_attestation","attest_author":"https://pith.science/pith/5OFKODL3ZJC6235N2JG5PSQ6ZS/action/author_attestation","sign_citation":"https://pith.science/pith/5OFKODL3ZJC6235N2JG5PSQ6ZS/action/citation_signature","submit_replication":"https://pith.science/pith/5OFKODL3ZJC6235N2JG5PSQ6ZS/action/replication_record"}},"created_at":"2026-07-05T12:04:22.246631+00:00","updated_at":"2026-07-05T12:04:22.246631+00:00"}