{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:X5BPWOLQPIX7EUQPWDQE7VSHLP","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":"d5dcbaa5027dd2a55bf94c558a6a568a69648bb40a126d7c12a0c14ba49ea4e4","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2024-08-28T06:19:42Z","title_canon_sha256":"48556aa3fa32bade7170654803bd144af142a7f8e3aca73e908bda959e9698ed"},"schema_version":"1.0","source":{"id":"2408.15558","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.15558","created_at":"2026-07-05T09:00:13Z"},{"alias_kind":"arxiv_version","alias_value":"2408.15558v1","created_at":"2026-07-05T09:00:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.15558","created_at":"2026-07-05T09:00:13Z"},{"alias_kind":"pith_short_12","alias_value":"X5BPWOLQPIX7","created_at":"2026-07-05T09:00:13Z"},{"alias_kind":"pith_short_16","alias_value":"X5BPWOLQPIX7EUQP","created_at":"2026-07-05T09:00:13Z"},{"alias_kind":"pith_short_8","alias_value":"X5BPWOLQ","created_at":"2026-07-05T09:00:13Z"}],"graph_snapshots":[{"event_id":"sha256:310c7683a6d929298614d8a197d3d446db9deceffb5821be3d1cd6733511b7d5","target":"graph","created_at":"2026-07-05T09:00:13Z","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/2408.15558/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $R$ be the finite chain ring $\\mathbb{F}_{p^{2m}}+{u}\\mathbb{F}_{p^{2m}}$, where $\\mathbb{F}_{p^{2m}}$ is the finite field with $p^{2m}$ elements,\n  $p$ is a prime, $m$ is a non-negative integer and ${u}^{2}=0.$ In this paper, we firstly define a class of Gray maps, which changes the Hermitian self-orthogonal property of linear codes over $\\mathbb{F}_{2^{2m}}+{u}\\mathbb{F}_{2^{2m}}$ into the Hermitian self-orthogonal property of linear codes over $\\mathbb{F}_{2^{2m}}$. Applying the Hermitian construction, a new class of $2^{m}$-ary\n  quantum codes are obtained from Hermitian constacyclic s","authors_text":"Heqian Xu, Ting Yao, Xiaoshan Kai, Yongsheng Tang","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2024-08-28T06:19:42Z","title":"New quantum codes from constacyclic codes over finite chain rings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.15558","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":"sha256:95b49af404c4e1f2456d9edc2e74f2bc83e008ddf4acb22b57867ca3e74c4fbd","target":"record","created_at":"2026-07-05T09:00:13Z","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":"d5dcbaa5027dd2a55bf94c558a6a568a69648bb40a126d7c12a0c14ba49ea4e4","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2024-08-28T06:19:42Z","title_canon_sha256":"48556aa3fa32bade7170654803bd144af142a7f8e3aca73e908bda959e9698ed"},"schema_version":"1.0","source":{"id":"2408.15558","kind":"arxiv","version":1}},"canonical_sha256":"bf42fb39707a2ff2520fb0e04fd6475bc4c4caee88d552b61b95a5142113c65b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf42fb39707a2ff2520fb0e04fd6475bc4c4caee88d552b61b95a5142113c65b","first_computed_at":"2026-07-05T09:00:13.741734Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:00:13.741734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pTb6TRVDNgaaPQJdq6DzCy0/Bkd2M8099CJU0sjQzkkAdKJ7OQdzs9PQsIg6iZd5fyOb92A3zAMghVvZke5rDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:00:13.742211Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.15558","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95b49af404c4e1f2456d9edc2e74f2bc83e008ddf4acb22b57867ca3e74c4fbd","sha256:310c7683a6d929298614d8a197d3d446db9deceffb5821be3d1cd6733511b7d5"],"state_sha256":"6e3c8d92df1bfbee0a4eb666fd82458c2132525f42032c28e019c9e5bddbb2a2"}