{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:52XF75SYYA4JTQA47GUL7DBWY7","short_pith_number":"pith:52XF75SY","canonical_record":{"source":{"id":"1609.03173","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-11T15:38:07Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"1b74c53d935bb1cfda063dddc4d3f416f6b50a083110e5512a0d38d44b28f321","abstract_canon_sha256":"e4f395230fe863c9f3fa12706f0e0fcc5f471e8d1da48c11a4e626d82b793c6c"},"schema_version":"1.0"},"canonical_sha256":"eeae5ff658c03899c01cf9a8bf8c36c7fb65cbed1c6006f4bb47530cd33a8537","source":{"kind":"arxiv","id":"1609.03173","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03173","created_at":"2026-05-18T01:04:47Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03173v1","created_at":"2026-05-18T01:04:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03173","created_at":"2026-05-18T01:04:47Z"},{"alias_kind":"pith_short_12","alias_value":"52XF75SYYA4J","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"52XF75SYYA4JTQA4","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"52XF75SY","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:52XF75SYYA4JTQA47GUL7DBWY7","target":"record","payload":{"canonical_record":{"source":{"id":"1609.03173","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-11T15:38:07Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"1b74c53d935bb1cfda063dddc4d3f416f6b50a083110e5512a0d38d44b28f321","abstract_canon_sha256":"e4f395230fe863c9f3fa12706f0e0fcc5f471e8d1da48c11a4e626d82b793c6c"},"schema_version":"1.0"},"canonical_sha256":"eeae5ff658c03899c01cf9a8bf8c36c7fb65cbed1c6006f4bb47530cd33a8537","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:47.626517Z","signature_b64":"ZEsr9Vgo7yISt1+wmfVzUpNAFYGdbo06zln+SjXhsYbquys8oxqiCpGGvXb7S0XI5OlWcpDXvOsLQzvPXMLtDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eeae5ff658c03899c01cf9a8bf8c36c7fb65cbed1c6006f4bb47530cd33a8537","last_reissued_at":"2026-05-18T01:04:47.625963Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:47.625963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.03173","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":"2026-05-18T01:04:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"opYqPhBksEP3RmCeRyQRJdYIzxsGtUDhPTLvZzo7aQkr0aJlOoWJFx7qRJ3UsbZAeXMzg3oA7k7/ashgMpOYAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T21:04:17.957880Z"},"content_sha256":"b917a8bbacfaf538499bb3236958094305f2bd5bca989151bd37ac0452862675","schema_version":"1.0","event_id":"sha256:b917a8bbacfaf538499bb3236958094305f2bd5bca989151bd37ac0452862675"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:52XF75SYYA4JTQA47GUL7DBWY7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On locality of Generalized Reed-Muller codes over the broadcast erasure channel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Amira Alloum, Sian-Jheng Lin, Tareq Y.Al-Naffouri","submitted_at":"2016-09-11T15:38:07Z","abstract_excerpt":"One to Many communications are expected to be among the killer applications for the currently discussed 5G standard. The usage of coding mechanisms is impacting broadcasting standard quality, as coding is involved at several levels of the stack, and more specifically at the application layer where Rateless, LDPC, Reed Solomon codes and network coding schemes have been extensively studied, optimized and standardized in the past. Beyond reusing, extending or adapting existing application layer packet coding mechanisms based on previous schemes and designed for the foregoing LTE or other broadcas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03173","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":"2026-05-18T01:04:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wmSVNZ+0MIYxtDIpcM8ODpNLLbCGLsyTQ21c5H/SWxkIUiOgwlfWPtgI71HdtjCWSg9I1ZiOZvIkbZbydyL+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T21:04:17.958219Z"},"content_sha256":"d896be24bb9ecf6d8e60fd644d70cb92d2bca9bc4250bc19776f68fab72d7556","schema_version":"1.0","event_id":"sha256:d896be24bb9ecf6d8e60fd644d70cb92d2bca9bc4250bc19776f68fab72d7556"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/52XF75SYYA4JTQA47GUL7DBWY7/bundle.json","state_url":"https://pith.science/pith/52XF75SYYA4JTQA47GUL7DBWY7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/52XF75SYYA4JTQA47GUL7DBWY7/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":"2026-06-21T21:04:17Z","links":{"resolver":"https://pith.science/pith/52XF75SYYA4JTQA47GUL7DBWY7","bundle":"https://pith.science/pith/52XF75SYYA4JTQA47GUL7DBWY7/bundle.json","state":"https://pith.science/pith/52XF75SYYA4JTQA47GUL7DBWY7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/52XF75SYYA4JTQA47GUL7DBWY7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:52XF75SYYA4JTQA47GUL7DBWY7","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":"e4f395230fe863c9f3fa12706f0e0fcc5f471e8d1da48c11a4e626d82b793c6c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-11T15:38:07Z","title_canon_sha256":"1b74c53d935bb1cfda063dddc4d3f416f6b50a083110e5512a0d38d44b28f321"},"schema_version":"1.0","source":{"id":"1609.03173","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03173","created_at":"2026-05-18T01:04:47Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03173v1","created_at":"2026-05-18T01:04:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03173","created_at":"2026-05-18T01:04:47Z"},{"alias_kind":"pith_short_12","alias_value":"52XF75SYYA4J","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"52XF75SYYA4JTQA4","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"52XF75SY","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:d896be24bb9ecf6d8e60fd644d70cb92d2bca9bc4250bc19776f68fab72d7556","target":"graph","created_at":"2026-05-18T01:04:47Z","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":"One to Many communications are expected to be among the killer applications for the currently discussed 5G standard. The usage of coding mechanisms is impacting broadcasting standard quality, as coding is involved at several levels of the stack, and more specifically at the application layer where Rateless, LDPC, Reed Solomon codes and network coding schemes have been extensively studied, optimized and standardized in the past. Beyond reusing, extending or adapting existing application layer packet coding mechanisms based on previous schemes and designed for the foregoing LTE or other broadcas","authors_text":"Amira Alloum, Sian-Jheng Lin, Tareq Y.Al-Naffouri","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-11T15:38:07Z","title":"On locality of Generalized Reed-Muller codes over the broadcast erasure channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03173","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:b917a8bbacfaf538499bb3236958094305f2bd5bca989151bd37ac0452862675","target":"record","created_at":"2026-05-18T01:04:47Z","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":"e4f395230fe863c9f3fa12706f0e0fcc5f471e8d1da48c11a4e626d82b793c6c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-11T15:38:07Z","title_canon_sha256":"1b74c53d935bb1cfda063dddc4d3f416f6b50a083110e5512a0d38d44b28f321"},"schema_version":"1.0","source":{"id":"1609.03173","kind":"arxiv","version":1}},"canonical_sha256":"eeae5ff658c03899c01cf9a8bf8c36c7fb65cbed1c6006f4bb47530cd33a8537","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eeae5ff658c03899c01cf9a8bf8c36c7fb65cbed1c6006f4bb47530cd33a8537","first_computed_at":"2026-05-18T01:04:47.625963Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:47.625963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZEsr9Vgo7yISt1+wmfVzUpNAFYGdbo06zln+SjXhsYbquys8oxqiCpGGvXb7S0XI5OlWcpDXvOsLQzvPXMLtDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:47.626517Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.03173","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b917a8bbacfaf538499bb3236958094305f2bd5bca989151bd37ac0452862675","sha256:d896be24bb9ecf6d8e60fd644d70cb92d2bca9bc4250bc19776f68fab72d7556"],"state_sha256":"cdca5480a04f187af1bab31499cbf1926eab752b891b93de77837cec2f194338"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"23fFGS8Py8igzdmNVTDLCP1NjH8wYs2EFkPyvL8iD3i7l1HeshrdEXrEXrGBFzytSvm6yBUEjyj+S1GRbPJaDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T21:04:17.960469Z","bundle_sha256":"10bddc3160d87fccc2e29797c2eca82a7bbfac7b334e6d8165cb518f02f22a13"}}