{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WIBQXBGYM3GSJV67NAUAZ4UEP3","short_pith_number":"pith:WIBQXBGY","canonical_record":{"source":{"id":"1707.04390","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-07-14T05:37:02Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"7a13dfb5fbe08eac88d9731f8dba2babb0bfb0c06a2cf9714dd2bd3bef690362","abstract_canon_sha256":"79e55c8a7601dcfe9a3b2fe35bb280b39789f609ad3671ce07172a92c90a7009"},"schema_version":"1.0"},"canonical_sha256":"b2030b84d866cd24d7df68280cf2847ef799d92b33f51a04dcbf6fe055f7e56f","source":{"kind":"arxiv","id":"1707.04390","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.04390","created_at":"2026-05-18T00:40:18Z"},{"alias_kind":"arxiv_version","alias_value":"1707.04390v1","created_at":"2026-05-18T00:40:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04390","created_at":"2026-05-18T00:40:18Z"},{"alias_kind":"pith_short_12","alias_value":"WIBQXBGYM3GS","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WIBQXBGYM3GSJV67","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WIBQXBGY","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WIBQXBGYM3GSJV67NAUAZ4UEP3","target":"record","payload":{"canonical_record":{"source":{"id":"1707.04390","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-07-14T05:37:02Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"7a13dfb5fbe08eac88d9731f8dba2babb0bfb0c06a2cf9714dd2bd3bef690362","abstract_canon_sha256":"79e55c8a7601dcfe9a3b2fe35bb280b39789f609ad3671ce07172a92c90a7009"},"schema_version":"1.0"},"canonical_sha256":"b2030b84d866cd24d7df68280cf2847ef799d92b33f51a04dcbf6fe055f7e56f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:18.361031Z","signature_b64":"mFxHilycVSl86J31Xd5qI5BoJmmwl6VBgxUgsPc0mYZGE8YSf651DHfkRM0wcEn/m5rxq4Vhq1ozbXtzlmX8DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b2030b84d866cd24d7df68280cf2847ef799d92b33f51a04dcbf6fe055f7e56f","last_reissued_at":"2026-05-18T00:40:18.360377Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:18.360377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.04390","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":"2026-05-18T00:40:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cPeoiseLaFIx6LSEMTcK+D2yfkWYhp5SaJuiBcSZ7T5O3Z5g8MfRravFSocuCPaG7FjE1AgwBFg0+ojN4PH9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:58:46.618772Z"},"content_sha256":"d4380eb1d5a17121a8fd2d1de227647e39e0526746281546fe4275bc71f2931a","schema_version":"1.0","event_id":"sha256:d4380eb1d5a17121a8fd2d1de227647e39e0526746281546fe4275bc71f2931a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WIBQXBGYM3GSJV67NAUAZ4UEP3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symbolic Stochastic Chase Decoding of Reed-Solomon and BCH Codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Hossein Mani, Saied Hemati","submitted_at":"2017-07-14T05:37:02Z","abstract_excerpt":"This paper proposes the Symbolic-Stochastic Chase Decoding Algorithm (S-SCA) for the Reed-Solomon (RS) and BCH codes. By efficient usage of void space between constellation points for $q$-ary modulations and using soft information at the input of the decoder, the S-SCA is capable of outperforming conventional Symbolic-Chase algorithm (S-CA) with less computational cost. Since the S-SCA starts with the randomized generation of likely test-vectors, it reduces the complexity to polynomial order and also it does not need to find the least reliable symbols to generate test-vectors. Our simulation r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04390","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":""},"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":"2026-05-18T00:40:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VsXZp55R1RkgDpMCjoVweNQzTrf/otUMvb7mD8EjHE8EzHms7Xi1gMuGwvU2WLD6TRdvqx9pP+QtmW+0jgUuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:58:46.619124Z"},"content_sha256":"254ec5fff9cc7475d9e2ad6ad0da78a65bd0555bbda7298f853e497e5e996768","schema_version":"1.0","event_id":"sha256:254ec5fff9cc7475d9e2ad6ad0da78a65bd0555bbda7298f853e497e5e996768"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WIBQXBGYM3GSJV67NAUAZ4UEP3/bundle.json","state_url":"https://pith.science/pith/WIBQXBGYM3GSJV67NAUAZ4UEP3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WIBQXBGYM3GSJV67NAUAZ4UEP3/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":"2026-05-27T17:58:46Z","links":{"resolver":"https://pith.science/pith/WIBQXBGYM3GSJV67NAUAZ4UEP3","bundle":"https://pith.science/pith/WIBQXBGYM3GSJV67NAUAZ4UEP3/bundle.json","state":"https://pith.science/pith/WIBQXBGYM3GSJV67NAUAZ4UEP3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WIBQXBGYM3GSJV67NAUAZ4UEP3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WIBQXBGYM3GSJV67NAUAZ4UEP3","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":"79e55c8a7601dcfe9a3b2fe35bb280b39789f609ad3671ce07172a92c90a7009","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-07-14T05:37:02Z","title_canon_sha256":"7a13dfb5fbe08eac88d9731f8dba2babb0bfb0c06a2cf9714dd2bd3bef690362"},"schema_version":"1.0","source":{"id":"1707.04390","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.04390","created_at":"2026-05-18T00:40:18Z"},{"alias_kind":"arxiv_version","alias_value":"1707.04390v1","created_at":"2026-05-18T00:40:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04390","created_at":"2026-05-18T00:40:18Z"},{"alias_kind":"pith_short_12","alias_value":"WIBQXBGYM3GS","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WIBQXBGYM3GSJV67","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WIBQXBGY","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:254ec5fff9cc7475d9e2ad6ad0da78a65bd0555bbda7298f853e497e5e996768","target":"graph","created_at":"2026-05-18T00:40:18Z","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"},"paper":{"abstract_excerpt":"This paper proposes the Symbolic-Stochastic Chase Decoding Algorithm (S-SCA) for the Reed-Solomon (RS) and BCH codes. By efficient usage of void space between constellation points for $q$-ary modulations and using soft information at the input of the decoder, the S-SCA is capable of outperforming conventional Symbolic-Chase algorithm (S-CA) with less computational cost. Since the S-SCA starts with the randomized generation of likely test-vectors, it reduces the complexity to polynomial order and also it does not need to find the least reliable symbols to generate test-vectors. Our simulation r","authors_text":"Hossein Mani, Saied Hemati","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-07-14T05:37:02Z","title":"Symbolic Stochastic Chase Decoding of Reed-Solomon and BCH Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04390","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:d4380eb1d5a17121a8fd2d1de227647e39e0526746281546fe4275bc71f2931a","target":"record","created_at":"2026-05-18T00:40:18Z","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":"79e55c8a7601dcfe9a3b2fe35bb280b39789f609ad3671ce07172a92c90a7009","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-07-14T05:37:02Z","title_canon_sha256":"7a13dfb5fbe08eac88d9731f8dba2babb0bfb0c06a2cf9714dd2bd3bef690362"},"schema_version":"1.0","source":{"id":"1707.04390","kind":"arxiv","version":1}},"canonical_sha256":"b2030b84d866cd24d7df68280cf2847ef799d92b33f51a04dcbf6fe055f7e56f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2030b84d866cd24d7df68280cf2847ef799d92b33f51a04dcbf6fe055f7e56f","first_computed_at":"2026-05-18T00:40:18.360377Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:18.360377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mFxHilycVSl86J31Xd5qI5BoJmmwl6VBgxUgsPc0mYZGE8YSf651DHfkRM0wcEn/m5rxq4Vhq1ozbXtzlmX8DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:18.361031Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.04390","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4380eb1d5a17121a8fd2d1de227647e39e0526746281546fe4275bc71f2931a","sha256:254ec5fff9cc7475d9e2ad6ad0da78a65bd0555bbda7298f853e497e5e996768"],"state_sha256":"c5d1b9b617f944b505250c2e6c8a7d03b77b9451c1a7b9d0bce9d55c2860d918"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uQVwcnChHdZTGEgJ18wyTo091xYV4eZZJPMFiAi4p/2pVHVhz9WvKottsnQrYx5yREj9Oglu2ejphykfmbKMAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:58:46.621863Z","bundle_sha256":"587e668d93e26f317635732c8883e64262d31c57f81cfe30a88f606c0cfa0b67"}}