{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:VP5SC2ZGXHVGYQ2HVHTUMN3TRW","short_pith_number":"pith:VP5SC2ZG","canonical_record":{"source":{"id":"2512.24217","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-12-30T13:27:37Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"3a64859a7776fba7675fcc6a2898ff5782a7eceb320e8e8c49b29a9ca335220d","abstract_canon_sha256":"78974eec4a5d769a7323b5e2dfff36dc0ba00970969dd9361c85d562d43b4fe4"},"schema_version":"1.0"},"canonical_sha256":"abfb216b26b9ea6c4347a9e74637738dbfb73f2b8ec903c8524c5f2e967138c6","source":{"kind":"arxiv","id":"2512.24217","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.24217","created_at":"2026-05-26T02:04:01Z"},{"alias_kind":"arxiv_version","alias_value":"2512.24217v2","created_at":"2026-05-26T02:04:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.24217","created_at":"2026-05-26T02:04:01Z"},{"alias_kind":"pith_short_12","alias_value":"VP5SC2ZGXHVG","created_at":"2026-05-26T02:04:01Z"},{"alias_kind":"pith_short_16","alias_value":"VP5SC2ZGXHVGYQ2H","created_at":"2026-05-26T02:04:01Z"},{"alias_kind":"pith_short_8","alias_value":"VP5SC2ZG","created_at":"2026-05-26T02:04:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:VP5SC2ZGXHVGYQ2HVHTUMN3TRW","target":"record","payload":{"canonical_record":{"source":{"id":"2512.24217","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-12-30T13:27:37Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"3a64859a7776fba7675fcc6a2898ff5782a7eceb320e8e8c49b29a9ca335220d","abstract_canon_sha256":"78974eec4a5d769a7323b5e2dfff36dc0ba00970969dd9361c85d562d43b4fe4"},"schema_version":"1.0"},"canonical_sha256":"abfb216b26b9ea6c4347a9e74637738dbfb73f2b8ec903c8524c5f2e967138c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:04:01.840013Z","signature_b64":"31OpgzTOOgVpr9N0egikpMcya+YKJ95zDVX4fqTzrtJvMMceYKZvbnV1dEY7jfFo/zi7W/9/rhuqNWu3F0doDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"abfb216b26b9ea6c4347a9e74637738dbfb73f2b8ec903c8524c5f2e967138c6","last_reissued_at":"2026-05-26T02:04:01.839141Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:04:01.839141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2512.24217","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-26T02:04:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S/D5/aanWco4nEMfq5Bn/BjB8tz0lN/rTmObmbDH9p3aklPrtESqlGiQdi5Tpi6SjppvnEyqy0QWjsW7CUStAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T01:31:12.652939Z"},"content_sha256":"d5e27c4eb3cfdefb7203ffc9f52aa9a2d7c8059fc424a2e387f3d91980943ffd","schema_version":"1.0","event_id":"sha256:d5e27c4eb3cfdefb7203ffc9f52aa9a2d7c8059fc424a2e387f3d91980943ffd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:VP5SC2ZGXHVGYQ2HVHTUMN3TRW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient Decoding of Twisted GRS Codes and Roth-Lempel Codes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Lingfei Jin, Runtian Zhu","submitted_at":"2025-12-30T13:27:37Z","abstract_excerpt":"MDS codes play a central role in practice due to their broad applications. To date, most known MDS codes are generalized Reed-Solomon (GRS) codes, leaving codes that are not equivalent to GRS codes comparatively less understood. Studying this non-GRS regime is therefore of intrinsic theoretical interest, and is also practically relevant since the strong algebraic structure of GRS codes can be undesirable in cryptographic settings. Among the known non-GRS codes, twisted generalized Reed-Solomon (TGRS) codes and Roth-Lempel codes are two representative families of non-GRS codes that have attract"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.24217","kind":"arxiv","version":2},"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/2512.24217/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":"2026-05-26T02:04:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4e/v4Kg+5aNHeNo/RuQsYi6jyBQhiG82pSxpYTvZgmK7uQFljwBjV1RJ/XsK+s+glE10QQx+f3pmpSk9CnZ+CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T01:31:12.653677Z"},"content_sha256":"d24d32e3b6008e82089c199d5ec4c9c9dbaf568391d4d984c0ed01ef300780dd","schema_version":"1.0","event_id":"sha256:d24d32e3b6008e82089c199d5ec4c9c9dbaf568391d4d984c0ed01ef300780dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VP5SC2ZGXHVGYQ2HVHTUMN3TRW/bundle.json","state_url":"https://pith.science/pith/VP5SC2ZGXHVGYQ2HVHTUMN3TRW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VP5SC2ZGXHVGYQ2HVHTUMN3TRW/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":"2026-06-06T01:31:12Z","links":{"resolver":"https://pith.science/pith/VP5SC2ZGXHVGYQ2HVHTUMN3TRW","bundle":"https://pith.science/pith/VP5SC2ZGXHVGYQ2HVHTUMN3TRW/bundle.json","state":"https://pith.science/pith/VP5SC2ZGXHVGYQ2HVHTUMN3TRW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VP5SC2ZGXHVGYQ2HVHTUMN3TRW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:VP5SC2ZGXHVGYQ2HVHTUMN3TRW","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":"78974eec4a5d769a7323b5e2dfff36dc0ba00970969dd9361c85d562d43b4fe4","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-12-30T13:27:37Z","title_canon_sha256":"3a64859a7776fba7675fcc6a2898ff5782a7eceb320e8e8c49b29a9ca335220d"},"schema_version":"1.0","source":{"id":"2512.24217","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.24217","created_at":"2026-05-26T02:04:01Z"},{"alias_kind":"arxiv_version","alias_value":"2512.24217v2","created_at":"2026-05-26T02:04:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.24217","created_at":"2026-05-26T02:04:01Z"},{"alias_kind":"pith_short_12","alias_value":"VP5SC2ZGXHVG","created_at":"2026-05-26T02:04:01Z"},{"alias_kind":"pith_short_16","alias_value":"VP5SC2ZGXHVGYQ2H","created_at":"2026-05-26T02:04:01Z"},{"alias_kind":"pith_short_8","alias_value":"VP5SC2ZG","created_at":"2026-05-26T02:04:01Z"}],"graph_snapshots":[{"event_id":"sha256:d24d32e3b6008e82089c199d5ec4c9c9dbaf568391d4d984c0ed01ef300780dd","target":"graph","created_at":"2026-05-26T02:04:01Z","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/2512.24217/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"MDS codes play a central role in practice due to their broad applications. To date, most known MDS codes are generalized Reed-Solomon (GRS) codes, leaving codes that are not equivalent to GRS codes comparatively less understood. Studying this non-GRS regime is therefore of intrinsic theoretical interest, and is also practically relevant since the strong algebraic structure of GRS codes can be undesirable in cryptographic settings. Among the known non-GRS codes, twisted generalized Reed-Solomon (TGRS) codes and Roth-Lempel codes are two representative families of non-GRS codes that have attract","authors_text":"Lingfei Jin, Runtian Zhu","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-12-30T13:27:37Z","title":"Efficient Decoding of Twisted GRS Codes and Roth-Lempel Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.24217","kind":"arxiv","version":2},"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:d5e27c4eb3cfdefb7203ffc9f52aa9a2d7c8059fc424a2e387f3d91980943ffd","target":"record","created_at":"2026-05-26T02:04:01Z","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":"78974eec4a5d769a7323b5e2dfff36dc0ba00970969dd9361c85d562d43b4fe4","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2025-12-30T13:27:37Z","title_canon_sha256":"3a64859a7776fba7675fcc6a2898ff5782a7eceb320e8e8c49b29a9ca335220d"},"schema_version":"1.0","source":{"id":"2512.24217","kind":"arxiv","version":2}},"canonical_sha256":"abfb216b26b9ea6c4347a9e74637738dbfb73f2b8ec903c8524c5f2e967138c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abfb216b26b9ea6c4347a9e74637738dbfb73f2b8ec903c8524c5f2e967138c6","first_computed_at":"2026-05-26T02:04:01.839141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:04:01.839141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"31OpgzTOOgVpr9N0egikpMcya+YKJ95zDVX4fqTzrtJvMMceYKZvbnV1dEY7jfFo/zi7W/9/rhuqNWu3F0doDQ==","signature_status":"signed_v1","signed_at":"2026-05-26T02:04:01.840013Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.24217","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5e27c4eb3cfdefb7203ffc9f52aa9a2d7c8059fc424a2e387f3d91980943ffd","sha256:d24d32e3b6008e82089c199d5ec4c9c9dbaf568391d4d984c0ed01ef300780dd"],"state_sha256":"06b09e0d084bc80c91f1c2556340284a75c93868220fbebb2558b644ae27961a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bXFTtLdFLpjzX0qrAWP4I2oqezPUNIah3t8PYRGXe8hcZF8BgPSe9l6QR9p78aWzh8y8U6i17TucrFQdRiRmCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T01:31:12.656876Z","bundle_sha256":"0cde9db1545ed8ebc684f004d962cffe836720bd744d49414ceee77ebbcf1462"}}