{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:4DJMAK22GDXCVASMI3CRAGF3DI","short_pith_number":"pith:4DJMAK22","canonical_record":{"source":{"id":"1010.6020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-28T17:14:14Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"479709b98cdbc712a8590d180136100e28dea5275a82c36cac3efcf939e6c907","abstract_canon_sha256":"9d4c7e3772c7be1b5c8a016dffa5e4e2fd0174d380bdd8503eccc3789556927a"},"schema_version":"1.0"},"canonical_sha256":"e0d2c02b5a30ee2a824c46c51018bb1a3692345a85a527778290297faf169dd1","source":{"kind":"arxiv","id":"1010.6020","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.6020","created_at":"2026-05-18T04:38:14Z"},{"alias_kind":"arxiv_version","alias_value":"1010.6020v1","created_at":"2026-05-18T04:38:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.6020","created_at":"2026-05-18T04:38:14Z"},{"alias_kind":"pith_short_12","alias_value":"4DJMAK22GDXC","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"4DJMAK22GDXCVASM","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"4DJMAK22","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:4DJMAK22GDXCVASMI3CRAGF3DI","target":"record","payload":{"canonical_record":{"source":{"id":"1010.6020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-28T17:14:14Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"479709b98cdbc712a8590d180136100e28dea5275a82c36cac3efcf939e6c907","abstract_canon_sha256":"9d4c7e3772c7be1b5c8a016dffa5e4e2fd0174d380bdd8503eccc3789556927a"},"schema_version":"1.0"},"canonical_sha256":"e0d2c02b5a30ee2a824c46c51018bb1a3692345a85a527778290297faf169dd1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:14.723260Z","signature_b64":"6sT3TqmPrAYBmiH+sO1uZT/gs0qhmUlrMNL3SqHcgs6+2eGYgOxkQBOL/3CJj3+xYESAL/5G2jM0EbLhnOYbBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0d2c02b5a30ee2a824c46c51018bb1a3692345a85a527778290297faf169dd1","last_reissued_at":"2026-05-18T04:38:14.722777Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:14.722777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.6020","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":"2026-05-18T04:38:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+8RvoL16TTTEISjeYWk98E6LVupnaXjyUfuWbUebSoNR/O31HsKJzL5IKZbUXPdTn30sDNejN1897aTKSdqyBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:07:19.919787Z"},"content_sha256":"6f1d56e7ad183f004809b883b6060a10c5690c034946c2eee77bda1c37a53712","schema_version":"1.0","event_id":"sha256:6f1d56e7ad183f004809b883b6060a10c5690c034946c2eee77bda1c37a53712"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:4DJMAK22GDXCVASMI3CRAGF3DI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Effect of Spatial Coupling on Compressive Sensing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Henry D. Pfister, Shrinivas Kudekar","submitted_at":"2010-10-28T17:14:14Z","abstract_excerpt":"Recently, it was observed that spatially-coupled LDPC code ensembles approach the Shannon capacity for a class of binary-input memoryless symmetric (BMS) channels. The fundamental reason for this was attributed to a \"threshold saturation\" phenomena derived by Kudekar, Richardson and Urbanke. In particular, it was shown that the belief propagation (BP) threshold of the spatially coupled codes is equal to the maximum a posteriori (MAP) decoding threshold of the underlying constituent codes. In this sense, the BP threshold is saturated to its maximum value. Moreover, it has been empirically obser"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.6020","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":"2026-05-18T04:38:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5My0Ur4PxT4aUpT91xJesnYQewmHFDomfWc+7FSgngsY7cxEQha0P4YACSYYsQoEsXXZxZJkIIO7Ki6DHofzCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:07:19.920126Z"},"content_sha256":"0096a08bef263854042551b3d4d60ea0386ab987dddf50e8716458482334494d","schema_version":"1.0","event_id":"sha256:0096a08bef263854042551b3d4d60ea0386ab987dddf50e8716458482334494d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4DJMAK22GDXCVASMI3CRAGF3DI/bundle.json","state_url":"https://pith.science/pith/4DJMAK22GDXCVASMI3CRAGF3DI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4DJMAK22GDXCVASMI3CRAGF3DI/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":"2026-05-28T08:07:19Z","links":{"resolver":"https://pith.science/pith/4DJMAK22GDXCVASMI3CRAGF3DI","bundle":"https://pith.science/pith/4DJMAK22GDXCVASMI3CRAGF3DI/bundle.json","state":"https://pith.science/pith/4DJMAK22GDXCVASMI3CRAGF3DI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4DJMAK22GDXCVASMI3CRAGF3DI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:4DJMAK22GDXCVASMI3CRAGF3DI","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":"9d4c7e3772c7be1b5c8a016dffa5e4e2fd0174d380bdd8503eccc3789556927a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-28T17:14:14Z","title_canon_sha256":"479709b98cdbc712a8590d180136100e28dea5275a82c36cac3efcf939e6c907"},"schema_version":"1.0","source":{"id":"1010.6020","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.6020","created_at":"2026-05-18T04:38:14Z"},{"alias_kind":"arxiv_version","alias_value":"1010.6020v1","created_at":"2026-05-18T04:38:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.6020","created_at":"2026-05-18T04:38:14Z"},{"alias_kind":"pith_short_12","alias_value":"4DJMAK22GDXC","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"4DJMAK22GDXCVASM","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"4DJMAK22","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:0096a08bef263854042551b3d4d60ea0386ab987dddf50e8716458482334494d","target":"graph","created_at":"2026-05-18T04:38:14Z","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":"Recently, it was observed that spatially-coupled LDPC code ensembles approach the Shannon capacity for a class of binary-input memoryless symmetric (BMS) channels. The fundamental reason for this was attributed to a \"threshold saturation\" phenomena derived by Kudekar, Richardson and Urbanke. In particular, it was shown that the belief propagation (BP) threshold of the spatially coupled codes is equal to the maximum a posteriori (MAP) decoding threshold of the underlying constituent codes. In this sense, the BP threshold is saturated to its maximum value. Moreover, it has been empirically obser","authors_text":"Henry D. Pfister, Shrinivas Kudekar","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-28T17:14:14Z","title":"The Effect of Spatial Coupling on Compressive Sensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.6020","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":"sha256:6f1d56e7ad183f004809b883b6060a10c5690c034946c2eee77bda1c37a53712","target":"record","created_at":"2026-05-18T04:38:14Z","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":"9d4c7e3772c7be1b5c8a016dffa5e4e2fd0174d380bdd8503eccc3789556927a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-28T17:14:14Z","title_canon_sha256":"479709b98cdbc712a8590d180136100e28dea5275a82c36cac3efcf939e6c907"},"schema_version":"1.0","source":{"id":"1010.6020","kind":"arxiv","version":1}},"canonical_sha256":"e0d2c02b5a30ee2a824c46c51018bb1a3692345a85a527778290297faf169dd1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0d2c02b5a30ee2a824c46c51018bb1a3692345a85a527778290297faf169dd1","first_computed_at":"2026-05-18T04:38:14.722777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:14.722777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6sT3TqmPrAYBmiH+sO1uZT/gs0qhmUlrMNL3SqHcgs6+2eGYgOxkQBOL/3CJj3+xYESAL/5G2jM0EbLhnOYbBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:14.723260Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.6020","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f1d56e7ad183f004809b883b6060a10c5690c034946c2eee77bda1c37a53712","sha256:0096a08bef263854042551b3d4d60ea0386ab987dddf50e8716458482334494d"],"state_sha256":"09825fd7069b1a1a8419ffc5707ac858cad49de623711835535ea881d4546bf5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KoQt3FCfzoo9kTFvPADli82Q3H8aKsFjw9qo2VPbduiScK82IaP8rCz96JobLuffI16lE59roFpKW+q6PAvDCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T08:07:19.922101Z","bundle_sha256":"553cdba6e7ec76bdd89c4cf46632f7c606be33dc81854ae86c85ab8bfd369656"}}