{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QUYSD5QEVXZ46TS2INV5LKDV74","short_pith_number":"pith:QUYSD5QE","canonical_record":{"source":{"id":"1701.03764","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-13T18:17:21Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"cd9f7d0135941c6e4f4d6933e4a9f3cd02a2b041a15f161776fc3aacc0fe93b8","abstract_canon_sha256":"9313dd014119b0fde6e9d1660d43f13cd11d777966357418f3b15fcec5492aa9"},"schema_version":"1.0"},"canonical_sha256":"853121f604adf3cf4e5a436bd5a875ff2725b9240ba6478847ae3609a43dd2ff","source":{"kind":"arxiv","id":"1701.03764","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03764","created_at":"2026-05-18T00:52:53Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03764v1","created_at":"2026-05-18T00:52:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03764","created_at":"2026-05-18T00:52:53Z"},{"alias_kind":"pith_short_12","alias_value":"QUYSD5QEVXZ4","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QUYSD5QEVXZ46TS2","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QUYSD5QE","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QUYSD5QEVXZ46TS2INV5LKDV74","target":"record","payload":{"canonical_record":{"source":{"id":"1701.03764","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-13T18:17:21Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"cd9f7d0135941c6e4f4d6933e4a9f3cd02a2b041a15f161776fc3aacc0fe93b8","abstract_canon_sha256":"9313dd014119b0fde6e9d1660d43f13cd11d777966357418f3b15fcec5492aa9"},"schema_version":"1.0"},"canonical_sha256":"853121f604adf3cf4e5a436bd5a875ff2725b9240ba6478847ae3609a43dd2ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:53.890779Z","signature_b64":"57fDFuh+rrMBQMj/pavy5DMGdMLFqNcXsT0/P9oP2DHV2Nf6bPipjocBTiAStV5AdiIAQSSvZx1gtCykNmbTAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"853121f604adf3cf4e5a436bd5a875ff2725b9240ba6478847ae3609a43dd2ff","last_reissued_at":"2026-05-18T00:52:53.890056Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:53.890056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.03764","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":"2026-05-18T00:52:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dRxFyvlC8hYHQ4ifFx/7qsDbuTNPDHO2a8jfJU3mc8hcroDlr254vt+7UJNigDtQteKrudW1ktCs5uEX/iERBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:05:56.636580Z"},"content_sha256":"104b1e2750d53d6314bd838c8952f218b3323f8bbffdb9634103b6e1bde0efd7","schema_version":"1.0","event_id":"sha256:104b1e2750d53d6314bd838c8952f218b3323f8bbffdb9634103b6e1bde0efd7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QUYSD5QEVXZ46TS2INV5LKDV74","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Velocity of the Decoding Wave for Spatially Coupled Codes on BMS Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Nicolas Macris, Rafah El-Khatib","submitted_at":"2017-01-13T18:17:21Z","abstract_excerpt":"We consider the dynamics of belief propagation decoding of spatially coupled Low-Density Parity-Check codes. It has been conjectured that after a short transient phase, the profile of \"error probabilities\" along the spatial direction of a spatially coupled code develops a uniquely-shaped wave-like solution that propagates with constant velocity v. Under this assumption, and for transmission over general Binary Memoryless Symmetric channels, we derive a formula for v. We also propose approximations that are simpler to compute and support our findings using numerical data."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03764","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":"2026-05-18T00:52:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mz6KUBsLKmifp+LHYjhq31T2+nQB61Y8BWJBNcsPIxDrSKJKbRDiq2dkvJP0GffTzJs6VKpKxd4eW/mVyOwADQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:05:56.636927Z"},"content_sha256":"26501b49adbd1147f866e323a22f38326393fcf27b1afb71c8089d02e7b4e24e","schema_version":"1.0","event_id":"sha256:26501b49adbd1147f866e323a22f38326393fcf27b1afb71c8089d02e7b4e24e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QUYSD5QEVXZ46TS2INV5LKDV74/bundle.json","state_url":"https://pith.science/pith/QUYSD5QEVXZ46TS2INV5LKDV74/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QUYSD5QEVXZ46TS2INV5LKDV74/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":"2026-06-02T17:05:56Z","links":{"resolver":"https://pith.science/pith/QUYSD5QEVXZ46TS2INV5LKDV74","bundle":"https://pith.science/pith/QUYSD5QEVXZ46TS2INV5LKDV74/bundle.json","state":"https://pith.science/pith/QUYSD5QEVXZ46TS2INV5LKDV74/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QUYSD5QEVXZ46TS2INV5LKDV74/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QUYSD5QEVXZ46TS2INV5LKDV74","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":"9313dd014119b0fde6e9d1660d43f13cd11d777966357418f3b15fcec5492aa9","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-13T18:17:21Z","title_canon_sha256":"cd9f7d0135941c6e4f4d6933e4a9f3cd02a2b041a15f161776fc3aacc0fe93b8"},"schema_version":"1.0","source":{"id":"1701.03764","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03764","created_at":"2026-05-18T00:52:53Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03764v1","created_at":"2026-05-18T00:52:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03764","created_at":"2026-05-18T00:52:53Z"},{"alias_kind":"pith_short_12","alias_value":"QUYSD5QEVXZ4","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QUYSD5QEVXZ46TS2","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QUYSD5QE","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:26501b49adbd1147f866e323a22f38326393fcf27b1afb71c8089d02e7b4e24e","target":"graph","created_at":"2026-05-18T00:52:53Z","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 consider the dynamics of belief propagation decoding of spatially coupled Low-Density Parity-Check codes. It has been conjectured that after a short transient phase, the profile of \"error probabilities\" along the spatial direction of a spatially coupled code develops a uniquely-shaped wave-like solution that propagates with constant velocity v. Under this assumption, and for transmission over general Binary Memoryless Symmetric channels, we derive a formula for v. We also propose approximations that are simpler to compute and support our findings using numerical data.","authors_text":"Nicolas Macris, Rafah El-Khatib","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-13T18:17:21Z","title":"The Velocity of the Decoding Wave for Spatially Coupled Codes on BMS Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03764","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":"sha256:104b1e2750d53d6314bd838c8952f218b3323f8bbffdb9634103b6e1bde0efd7","target":"record","created_at":"2026-05-18T00:52:53Z","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":"9313dd014119b0fde6e9d1660d43f13cd11d777966357418f3b15fcec5492aa9","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-13T18:17:21Z","title_canon_sha256":"cd9f7d0135941c6e4f4d6933e4a9f3cd02a2b041a15f161776fc3aacc0fe93b8"},"schema_version":"1.0","source":{"id":"1701.03764","kind":"arxiv","version":1}},"canonical_sha256":"853121f604adf3cf4e5a436bd5a875ff2725b9240ba6478847ae3609a43dd2ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"853121f604adf3cf4e5a436bd5a875ff2725b9240ba6478847ae3609a43dd2ff","first_computed_at":"2026-05-18T00:52:53.890056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:53.890056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"57fDFuh+rrMBQMj/pavy5DMGdMLFqNcXsT0/P9oP2DHV2Nf6bPipjocBTiAStV5AdiIAQSSvZx1gtCykNmbTAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:53.890779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.03764","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:104b1e2750d53d6314bd838c8952f218b3323f8bbffdb9634103b6e1bde0efd7","sha256:26501b49adbd1147f866e323a22f38326393fcf27b1afb71c8089d02e7b4e24e"],"state_sha256":"f7f12da5318f5c106b77687c0f3ae3c72308f2daf3a5eff24aa7709f76872982"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+BgWzCeS6efoACIftPhiiEE5SUVCkw+8XCEMICzy+nyv5x7/K8NxcDNOkgUOAXgIwqTLk4QqSnVaMTuwzK/wAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T17:05:56.638866Z","bundle_sha256":"4baa198ad25f5d9b3e8ca246a514442c1037a1f78bcbf368915c361ba61c7bd2"}}