{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:R5IM3A2LJQFLHY7EH7TBXSBHOT","short_pith_number":"pith:R5IM3A2L","canonical_record":{"source":{"id":"2401.15034","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-01-26T17:53:34Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"6e92506e4b73088f59155c03ef1f7f895714ec0c1477b802389d0979d3209c34","abstract_canon_sha256":"6b0c313d7299259bfb12c3c939a7f81a0295652216d00339d567dcff2a74a979"},"schema_version":"1.0"},"canonical_sha256":"8f50cd834b4c0ab3e3e43fe61bc82774cb211bd4587512a092744a60f1218546","source":{"kind":"arxiv","id":"2401.15034","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.15034","created_at":"2026-07-05T07:38:05Z"},{"alias_kind":"arxiv_version","alias_value":"2401.15034v1","created_at":"2026-07-05T07:38:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.15034","created_at":"2026-07-05T07:38:05Z"},{"alias_kind":"pith_short_12","alias_value":"R5IM3A2LJQFL","created_at":"2026-07-05T07:38:05Z"},{"alias_kind":"pith_short_16","alias_value":"R5IM3A2LJQFLHY7E","created_at":"2026-07-05T07:38:05Z"},{"alias_kind":"pith_short_8","alias_value":"R5IM3A2L","created_at":"2026-07-05T07:38:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:R5IM3A2LJQFLHY7EH7TBXSBHOT","target":"record","payload":{"canonical_record":{"source":{"id":"2401.15034","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-01-26T17:53:34Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"6e92506e4b73088f59155c03ef1f7f895714ec0c1477b802389d0979d3209c34","abstract_canon_sha256":"6b0c313d7299259bfb12c3c939a7f81a0295652216d00339d567dcff2a74a979"},"schema_version":"1.0"},"canonical_sha256":"8f50cd834b4c0ab3e3e43fe61bc82774cb211bd4587512a092744a60f1218546","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:38:05.524986Z","signature_b64":"ocZOHviUw6lBoxU8ZYpGE/KiD+TxXqGxKtZUwMBKLUYcVR9lF2ZHh6CQAl4xKx4zXCirw2qlPF/Tb+FqxcYbCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f50cd834b4c0ab3e3e43fe61bc82774cb211bd4587512a092744a60f1218546","last_reissued_at":"2026-07-05T07:38:05.524667Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:38:05.524667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2401.15034","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":"2026-07-05T07:38:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AGyNu/+paS4xgfjP+3+ZTjSz+5/2IKSUTxML6YGvXnE12VhOgaObDdT5sTx+ysTB8kyCB5SEhKNgQ85x/xOyCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T09:16:09.665399Z"},"content_sha256":"f17a33bb054f686c9042f0a97e10b9f7a82cb02d5479827e7d89dc5b79910f1f","schema_version":"1.0","event_id":"sha256:f17a33bb054f686c9042f0a97e10b9f7a82cb02d5479827e7d89dc5b79910f1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:R5IM3A2LJQFLHY7EH7TBXSBHOT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Explicit Subcodes of Reed-Solomon Codes that Efficiently Achieve List Decoding Capacity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Amit Berman, Itzhak Tamo, Yaron Shany","submitted_at":"2024-01-26T17:53:34Z","abstract_excerpt":"In this paper, we introduce a novel explicit family of subcodes of Reed-Solomon (RS) codes that efficiently achieve list decoding capacity with a constant output list size. Our approach builds upon the idea of large linear subcodes of RS codes evaluated on a subfield, similar to the method employed by Guruswami and Xing (STOC 2013). However, our approach diverges by leveraging the idea of {\\it permuted product codes}, thereby simplifying the construction by avoiding the need of {\\it subspace designs}.\n  Specifically, the codes are constructed by initially forming the tensor product of two RS c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.15034","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/2401.15034/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":"2026-07-05T07:38:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hXmZpPzHE8b3yf7EwL6FAG+Y3I6zv5d8PbEVTb7Cuas22Lppg9KiGGQim++agD7MWQecwLlGgm6TKLxZ5L5TBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T09:16:09.665893Z"},"content_sha256":"8493b6897b86c78676157ff5d55b06b46d62762039457ffbea87bb782b036bee","schema_version":"1.0","event_id":"sha256:8493b6897b86c78676157ff5d55b06b46d62762039457ffbea87bb782b036bee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R5IM3A2LJQFLHY7EH7TBXSBHOT/bundle.json","state_url":"https://pith.science/pith/R5IM3A2LJQFLHY7EH7TBXSBHOT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R5IM3A2LJQFLHY7EH7TBXSBHOT/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":"2026-08-20T09:16:09Z","links":{"resolver":"https://pith.science/pith/R5IM3A2LJQFLHY7EH7TBXSBHOT","bundle":"https://pith.science/pith/R5IM3A2LJQFLHY7EH7TBXSBHOT/bundle.json","state":"https://pith.science/pith/R5IM3A2LJQFLHY7EH7TBXSBHOT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R5IM3A2LJQFLHY7EH7TBXSBHOT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:R5IM3A2LJQFLHY7EH7TBXSBHOT","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":"6b0c313d7299259bfb12c3c939a7f81a0295652216d00339d567dcff2a74a979","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-01-26T17:53:34Z","title_canon_sha256":"6e92506e4b73088f59155c03ef1f7f895714ec0c1477b802389d0979d3209c34"},"schema_version":"1.0","source":{"id":"2401.15034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.15034","created_at":"2026-07-05T07:38:05Z"},{"alias_kind":"arxiv_version","alias_value":"2401.15034v1","created_at":"2026-07-05T07:38:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.15034","created_at":"2026-07-05T07:38:05Z"},{"alias_kind":"pith_short_12","alias_value":"R5IM3A2LJQFL","created_at":"2026-07-05T07:38:05Z"},{"alias_kind":"pith_short_16","alias_value":"R5IM3A2LJQFLHY7E","created_at":"2026-07-05T07:38:05Z"},{"alias_kind":"pith_short_8","alias_value":"R5IM3A2L","created_at":"2026-07-05T07:38:05Z"}],"graph_snapshots":[{"event_id":"sha256:8493b6897b86c78676157ff5d55b06b46d62762039457ffbea87bb782b036bee","target":"graph","created_at":"2026-07-05T07:38:05Z","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/2401.15034/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we introduce a novel explicit family of subcodes of Reed-Solomon (RS) codes that efficiently achieve list decoding capacity with a constant output list size. Our approach builds upon the idea of large linear subcodes of RS codes evaluated on a subfield, similar to the method employed by Guruswami and Xing (STOC 2013). However, our approach diverges by leveraging the idea of {\\it permuted product codes}, thereby simplifying the construction by avoiding the need of {\\it subspace designs}.\n  Specifically, the codes are constructed by initially forming the tensor product of two RS c","authors_text":"Amit Berman, Itzhak Tamo, Yaron Shany","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-01-26T17:53:34Z","title":"Explicit Subcodes of Reed-Solomon Codes that Efficiently Achieve List Decoding Capacity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.15034","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:f17a33bb054f686c9042f0a97e10b9f7a82cb02d5479827e7d89dc5b79910f1f","target":"record","created_at":"2026-07-05T07:38:05Z","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":"6b0c313d7299259bfb12c3c939a7f81a0295652216d00339d567dcff2a74a979","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-01-26T17:53:34Z","title_canon_sha256":"6e92506e4b73088f59155c03ef1f7f895714ec0c1477b802389d0979d3209c34"},"schema_version":"1.0","source":{"id":"2401.15034","kind":"arxiv","version":1}},"canonical_sha256":"8f50cd834b4c0ab3e3e43fe61bc82774cb211bd4587512a092744a60f1218546","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f50cd834b4c0ab3e3e43fe61bc82774cb211bd4587512a092744a60f1218546","first_computed_at":"2026-07-05T07:38:05.524667Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:38:05.524667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ocZOHviUw6lBoxU8ZYpGE/KiD+TxXqGxKtZUwMBKLUYcVR9lF2ZHh6CQAl4xKx4zXCirw2qlPF/Tb+FqxcYbCA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:38:05.524986Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.15034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f17a33bb054f686c9042f0a97e10b9f7a82cb02d5479827e7d89dc5b79910f1f","sha256:8493b6897b86c78676157ff5d55b06b46d62762039457ffbea87bb782b036bee"],"state_sha256":"7c3fb6a1873e4fb29b9d071a1a6ce7da5adce153ba251e5831484a4704cd3452"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z0Eu9iCRtQwlTYZKRyrzVRmRrXhDGpAX/UYIi6q2bwYOsCOKARgTYh6XergE0aLHNJ7LhPS21Y08L/WYTrZbAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T09:16:09.671258Z","bundle_sha256":"c731a7744b991d96a7e05883b94c939a2ef50b7750b20991313d48d7b584ac39"}}