{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:D2FTHNV5HK3NGYCUACAFS2QUA6","short_pith_number":"pith:D2FTHNV5","canonical_record":{"source":{"id":"2605.23119","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-22T00:42:55Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"604d973b75a7c356c46ca9c274efaf8d752bdb3860f8d364900d0c2b499531d7","abstract_canon_sha256":"5a3c1e8ae3a0b422c592faea7b3255678cab22c17dd58b1313ef97b0a411b7ce"},"schema_version":"1.0"},"canonical_sha256":"1e8b33b6bd3ab6d360540080596a14079ee2dfbdb334efb7100ef29c670f42e2","source":{"kind":"arxiv","id":"2605.23119","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23119","created_at":"2026-05-25T02:01:39Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23119v1","created_at":"2026-05-25T02:01:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23119","created_at":"2026-05-25T02:01:39Z"},{"alias_kind":"pith_short_12","alias_value":"D2FTHNV5HK3N","created_at":"2026-05-25T02:01:39Z"},{"alias_kind":"pith_short_16","alias_value":"D2FTHNV5HK3NGYCU","created_at":"2026-05-25T02:01:39Z"},{"alias_kind":"pith_short_8","alias_value":"D2FTHNV5","created_at":"2026-05-25T02:01:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:D2FTHNV5HK3NGYCUACAFS2QUA6","target":"record","payload":{"canonical_record":{"source":{"id":"2605.23119","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-22T00:42:55Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"604d973b75a7c356c46ca9c274efaf8d752bdb3860f8d364900d0c2b499531d7","abstract_canon_sha256":"5a3c1e8ae3a0b422c592faea7b3255678cab22c17dd58b1313ef97b0a411b7ce"},"schema_version":"1.0"},"canonical_sha256":"1e8b33b6bd3ab6d360540080596a14079ee2dfbdb334efb7100ef29c670f42e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:01:39.256423Z","signature_b64":"7XmIS6sh/tFEaBgqz+PcfOF9/HVKnf49yHTaVdXT1A6bbiEGXyLQsqJ924L3ph99q+PG7ZLd236KF+dN9lJgBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e8b33b6bd3ab6d360540080596a14079ee2dfbdb334efb7100ef29c670f42e2","last_reissued_at":"2026-05-25T02:01:39.255948Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:01:39.255948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.23119","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":"2026-05-25T02:01:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ycpUndQc0C8zuPfyZkxulwmmrWxPgoocrwWA3l7OkJenhtwHXEKHxdYPr4UgBMLGScj45V66xQY7h0ui4dqwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:13:11.023264Z"},"content_sha256":"ed03320c072d669cd7de8749609c60812ce7b32407eea8e02efde48d69683f0b","schema_version":"1.0","event_id":"sha256:ed03320c072d669cd7de8749609c60812ce7b32407eea8e02efde48d69683f0b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:D2FTHNV5HK3NGYCUACAFS2QUA6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Construction of EAQECCs with imperfect ebits","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Guanmin Guo, Ruihu Li","submitted_at":"2026-05-22T00:42:55Z","abstract_excerpt":"We generalize the stabilizer formalism for entanglement-assisted quantum error-correcting codes with noisy ebits (EAQECCs-Ne) from the binary case to the general $q$-ary case, where $q$ is a prime power. By leveraging the structure of the generalized Pauli group over $\\mathbb{F}_q$ and symplectic geometry over $\\mathbb{F}_q^{2n}$, we establish a unified framework for constructing EAQECCs-Ne for qudit systems. Equivalent formulations in terms of symplectic geometry over $\\mathbb{F}_q$ and additive codes over $\\mathbb{F}_q^{2n}$ are derived. We further construct several families of $q$-ary EAQEC"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23119","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/2605.23119/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":"2026-05-25T02:01:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K5vuJxyUQtn0nCrTq0LjycRpeHrEnpw5a17XqdGwM6JtCSRKKd/nATJ0BQ/x+lEmWEk9pKdYyoibEi8F4sqnBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:13:11.023666Z"},"content_sha256":"bd0a35e8e69c69c933d5e409f3ef44db7e03102e197ebcebb07ad8ece18f9b8c","schema_version":"1.0","event_id":"sha256:bd0a35e8e69c69c933d5e409f3ef44db7e03102e197ebcebb07ad8ece18f9b8c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D2FTHNV5HK3NGYCUACAFS2QUA6/bundle.json","state_url":"https://pith.science/pith/D2FTHNV5HK3NGYCUACAFS2QUA6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D2FTHNV5HK3NGYCUACAFS2QUA6/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":"2026-06-06T20:13:11Z","links":{"resolver":"https://pith.science/pith/D2FTHNV5HK3NGYCUACAFS2QUA6","bundle":"https://pith.science/pith/D2FTHNV5HK3NGYCUACAFS2QUA6/bundle.json","state":"https://pith.science/pith/D2FTHNV5HK3NGYCUACAFS2QUA6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D2FTHNV5HK3NGYCUACAFS2QUA6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:D2FTHNV5HK3NGYCUACAFS2QUA6","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":"5a3c1e8ae3a0b422c592faea7b3255678cab22c17dd58b1313ef97b0a411b7ce","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-22T00:42:55Z","title_canon_sha256":"604d973b75a7c356c46ca9c274efaf8d752bdb3860f8d364900d0c2b499531d7"},"schema_version":"1.0","source":{"id":"2605.23119","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23119","created_at":"2026-05-25T02:01:39Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23119v1","created_at":"2026-05-25T02:01:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23119","created_at":"2026-05-25T02:01:39Z"},{"alias_kind":"pith_short_12","alias_value":"D2FTHNV5HK3N","created_at":"2026-05-25T02:01:39Z"},{"alias_kind":"pith_short_16","alias_value":"D2FTHNV5HK3NGYCU","created_at":"2026-05-25T02:01:39Z"},{"alias_kind":"pith_short_8","alias_value":"D2FTHNV5","created_at":"2026-05-25T02:01:39Z"}],"graph_snapshots":[{"event_id":"sha256:bd0a35e8e69c69c933d5e409f3ef44db7e03102e197ebcebb07ad8ece18f9b8c","target":"graph","created_at":"2026-05-25T02:01:39Z","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/2605.23119/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We generalize the stabilizer formalism for entanglement-assisted quantum error-correcting codes with noisy ebits (EAQECCs-Ne) from the binary case to the general $q$-ary case, where $q$ is a prime power. By leveraging the structure of the generalized Pauli group over $\\mathbb{F}_q$ and symplectic geometry over $\\mathbb{F}_q^{2n}$, we establish a unified framework for constructing EAQECCs-Ne for qudit systems. Equivalent formulations in terms of symplectic geometry over $\\mathbb{F}_q$ and additive codes over $\\mathbb{F}_q^{2n}$ are derived. We further construct several families of $q$-ary EAQEC","authors_text":"Guanmin Guo, Ruihu Li","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-22T00:42:55Z","title":"Construction of EAQECCs with imperfect ebits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23119","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:ed03320c072d669cd7de8749609c60812ce7b32407eea8e02efde48d69683f0b","target":"record","created_at":"2026-05-25T02:01:39Z","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":"5a3c1e8ae3a0b422c592faea7b3255678cab22c17dd58b1313ef97b0a411b7ce","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-22T00:42:55Z","title_canon_sha256":"604d973b75a7c356c46ca9c274efaf8d752bdb3860f8d364900d0c2b499531d7"},"schema_version":"1.0","source":{"id":"2605.23119","kind":"arxiv","version":1}},"canonical_sha256":"1e8b33b6bd3ab6d360540080596a14079ee2dfbdb334efb7100ef29c670f42e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e8b33b6bd3ab6d360540080596a14079ee2dfbdb334efb7100ef29c670f42e2","first_computed_at":"2026-05-25T02:01:39.255948Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:01:39.255948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7XmIS6sh/tFEaBgqz+PcfOF9/HVKnf49yHTaVdXT1A6bbiEGXyLQsqJ924L3ph99q+PG7ZLd236KF+dN9lJgBQ==","signature_status":"signed_v1","signed_at":"2026-05-25T02:01:39.256423Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.23119","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed03320c072d669cd7de8749609c60812ce7b32407eea8e02efde48d69683f0b","sha256:bd0a35e8e69c69c933d5e409f3ef44db7e03102e197ebcebb07ad8ece18f9b8c"],"state_sha256":"5b17c9fcc8d554a8f64a9f71c7d5db7a4afe9a01710ca6b15b294b01abb33157"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P6gBSkI89oU1iQuYn+atjoG+d+8DgVSxmxS6qrSiG1piOqz7gMqTJHcssNrW/o7A1/kJl8Mj9gUnhiU0K+wLBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:13:11.025838Z","bundle_sha256":"04e8259d1aeccfbd239a0836e2b70fd25ac400201de33ddd435272b0204680fc"}}