{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:3AWEWRLNVOBFC7KQNQVOUA5IEW","short_pith_number":"pith:3AWEWRLN","canonical_record":{"source":{"id":"1309.3195","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-12T15:28:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b1079c753631e6c7eae62e07231360b871f923db6964820c6a3c5f98f2348725","abstract_canon_sha256":"94e063c548b3f243ed63d8069c830403d9b0c01284556f92b31f90eeb0cd4b8c"},"schema_version":"1.0"},"canonical_sha256":"d82c4b456dab82517d506c2aea03a8258df72ef01646dd05806d1dbc090ad9e4","source":{"kind":"arxiv","id":"1309.3195","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.3195","created_at":"2026-05-18T03:13:32Z"},{"alias_kind":"arxiv_version","alias_value":"1309.3195v1","created_at":"2026-05-18T03:13:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3195","created_at":"2026-05-18T03:13:32Z"},{"alias_kind":"pith_short_12","alias_value":"3AWEWRLNVOBF","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3AWEWRLNVOBFC7KQ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3AWEWRLN","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:3AWEWRLNVOBFC7KQNQVOUA5IEW","target":"record","payload":{"canonical_record":{"source":{"id":"1309.3195","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-12T15:28:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b1079c753631e6c7eae62e07231360b871f923db6964820c6a3c5f98f2348725","abstract_canon_sha256":"94e063c548b3f243ed63d8069c830403d9b0c01284556f92b31f90eeb0cd4b8c"},"schema_version":"1.0"},"canonical_sha256":"d82c4b456dab82517d506c2aea03a8258df72ef01646dd05806d1dbc090ad9e4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:32.575664Z","signature_b64":"XLvmk2nDOnwsr7Kww53hfuYPLguDU59MPKOQrXaCr+LNhP2ja/uiYd207rL4j5g7JawOTFeB0zk2cuGDfP2vBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d82c4b456dab82517d506c2aea03a8258df72ef01646dd05806d1dbc090ad9e4","last_reissued_at":"2026-05-18T03:13:32.574733Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:32.574733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.3195","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":"2026-05-18T03:13:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zmrndxe/rab2pGhq5Cn4/6YCg7E01JTN/itqzqFe6lAw26QaWD6KZ17c3Gb1AKHTzdDphBXb34cwwRVNIrJACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:05:37.607364Z"},"content_sha256":"1a85696c5fea14b704929b2120cadbe0424de3740e14fbb50ab1971e91d613c2","schema_version":"1.0","event_id":"sha256:1a85696c5fea14b704929b2120cadbe0424de3740e14fbb50ab1971e91d613c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:3AWEWRLNVOBFC7KQNQVOUA5IEW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improved LT Codes in Low Overhead Regions for Binary Erasure Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Congzhe Cao, Iqbal Hussain, Jingming Kuang, Ming Xiao, Zesong Fei","submitted_at":"2013-09-12T15:28:27Z","abstract_excerpt":"We study improved degree distribution for Luby Transform (LT) codes which exhibits improved bit error rate performance particularly in low overhead regions. We construct the degree distribution by modifying Robust Soliton distribution. The performance of our proposed LT codes is evaluated and compared to the conventional LT codes via And-Or tree analysis. Then we propose a transmission scheme based on the proposed degree distribution to improve its frame error rate in full recovery regions. Furthermore, the improved degree distribution is applied to distributed multi-source relay networks and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3195","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":"2026-05-18T03:13:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3w7vXOp968fsrrfm/S6ROmLaVKy5fKxh56ePcPYJzDuDk6wa259+8RoL6pQq3uCyK14QSbn7uxsfYmEVjxFoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:05:37.607727Z"},"content_sha256":"c5b3023e577cacd10ff52b05e77f150603b8db214568b5cd47fd836e690c9d48","schema_version":"1.0","event_id":"sha256:c5b3023e577cacd10ff52b05e77f150603b8db214568b5cd47fd836e690c9d48"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3AWEWRLNVOBFC7KQNQVOUA5IEW/bundle.json","state_url":"https://pith.science/pith/3AWEWRLNVOBFC7KQNQVOUA5IEW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3AWEWRLNVOBFC7KQNQVOUA5IEW/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":"2026-05-30T12:05:37Z","links":{"resolver":"https://pith.science/pith/3AWEWRLNVOBFC7KQNQVOUA5IEW","bundle":"https://pith.science/pith/3AWEWRLNVOBFC7KQNQVOUA5IEW/bundle.json","state":"https://pith.science/pith/3AWEWRLNVOBFC7KQNQVOUA5IEW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3AWEWRLNVOBFC7KQNQVOUA5IEW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3AWEWRLNVOBFC7KQNQVOUA5IEW","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":"94e063c548b3f243ed63d8069c830403d9b0c01284556f92b31f90eeb0cd4b8c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-12T15:28:27Z","title_canon_sha256":"b1079c753631e6c7eae62e07231360b871f923db6964820c6a3c5f98f2348725"},"schema_version":"1.0","source":{"id":"1309.3195","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.3195","created_at":"2026-05-18T03:13:32Z"},{"alias_kind":"arxiv_version","alias_value":"1309.3195v1","created_at":"2026-05-18T03:13:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3195","created_at":"2026-05-18T03:13:32Z"},{"alias_kind":"pith_short_12","alias_value":"3AWEWRLNVOBF","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3AWEWRLNVOBFC7KQ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3AWEWRLN","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:c5b3023e577cacd10ff52b05e77f150603b8db214568b5cd47fd836e690c9d48","target":"graph","created_at":"2026-05-18T03:13:32Z","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":"We study improved degree distribution for Luby Transform (LT) codes which exhibits improved bit error rate performance particularly in low overhead regions. We construct the degree distribution by modifying Robust Soliton distribution. The performance of our proposed LT codes is evaluated and compared to the conventional LT codes via And-Or tree analysis. Then we propose a transmission scheme based on the proposed degree distribution to improve its frame error rate in full recovery regions. Furthermore, the improved degree distribution is applied to distributed multi-source relay networks and ","authors_text":"Congzhe Cao, Iqbal Hussain, Jingming Kuang, Ming Xiao, Zesong Fei","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-12T15:28:27Z","title":"Improved LT Codes in Low Overhead Regions for Binary Erasure Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3195","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":"sha256:1a85696c5fea14b704929b2120cadbe0424de3740e14fbb50ab1971e91d613c2","target":"record","created_at":"2026-05-18T03:13:32Z","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":"94e063c548b3f243ed63d8069c830403d9b0c01284556f92b31f90eeb0cd4b8c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-12T15:28:27Z","title_canon_sha256":"b1079c753631e6c7eae62e07231360b871f923db6964820c6a3c5f98f2348725"},"schema_version":"1.0","source":{"id":"1309.3195","kind":"arxiv","version":1}},"canonical_sha256":"d82c4b456dab82517d506c2aea03a8258df72ef01646dd05806d1dbc090ad9e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d82c4b456dab82517d506c2aea03a8258df72ef01646dd05806d1dbc090ad9e4","first_computed_at":"2026-05-18T03:13:32.574733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:32.574733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XLvmk2nDOnwsr7Kww53hfuYPLguDU59MPKOQrXaCr+LNhP2ja/uiYd207rL4j5g7JawOTFeB0zk2cuGDfP2vBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:32.575664Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.3195","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a85696c5fea14b704929b2120cadbe0424de3740e14fbb50ab1971e91d613c2","sha256:c5b3023e577cacd10ff52b05e77f150603b8db214568b5cd47fd836e690c9d48"],"state_sha256":"ad52943589eec8314ea604e910093970adff502751ff14bd9229b3d5a2627d22"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ktsDcu19cqvz5C66tH9ZfSSQ+sDSjAxCNvc2b2TQdJElaGnX6oZn+9OnAn7IQ3WXtFX17ofHoC0MvASbNuDOAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T12:05:37.609663Z","bundle_sha256":"e7524f0eb07738a32746515c9f63f6e6b4a03990e32385e7ccfa1f7a1f689282"}}