{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CKC3SUNA4TX72QWSODPGRZAIXI","short_pith_number":"pith:CKC3SUNA","canonical_record":{"source":{"id":"1701.02578","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-10T13:24:20Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"1bb5ece23e11ac0a1cbbc1c141a2490620811ff790953ddf75a2a7af52911590","abstract_canon_sha256":"37a50ca391c1d80e59f196cbf6667dcecc555e172a5bc479b3af168a4cbb80c6"},"schema_version":"1.0"},"canonical_sha256":"1285b951a0e4effd42d270de68e408ba04e21ad5e68e61d7e0f919451585d676","source":{"kind":"arxiv","id":"1701.02578","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02578","created_at":"2026-05-18T00:51:53Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02578v2","created_at":"2026-05-18T00:51:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02578","created_at":"2026-05-18T00:51:53Z"},{"alias_kind":"pith_short_12","alias_value":"CKC3SUNA4TX7","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CKC3SUNA4TX72QWS","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CKC3SUNA","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CKC3SUNA4TX72QWSODPGRZAIXI","target":"record","payload":{"canonical_record":{"source":{"id":"1701.02578","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-10T13:24:20Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"1bb5ece23e11ac0a1cbbc1c141a2490620811ff790953ddf75a2a7af52911590","abstract_canon_sha256":"37a50ca391c1d80e59f196cbf6667dcecc555e172a5bc479b3af168a4cbb80c6"},"schema_version":"1.0"},"canonical_sha256":"1285b951a0e4effd42d270de68e408ba04e21ad5e68e61d7e0f919451585d676","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:53.086635Z","signature_b64":"lj83uT5CMKxlbQQEabCR356sepv3AzvNkXxTzgc/8QKGSJA/p822zMI9pGFsonah9t+GMRAvE5alm8uCc6dLAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1285b951a0e4effd42d270de68e408ba04e21ad5e68e61d7e0f919451585d676","last_reissued_at":"2026-05-18T00:51:53.086010Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:53.086010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.02578","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/dQxMq/FJx4oIxAOnxbzwqwtc5WWnU1JbwRLXt0fu5jrGij37V7dUZbHtNaWlX8Yt1/0hhMm9yVQRGZAg9WzAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T05:14:58.403517Z"},"content_sha256":"3cc9e3b86727b95879d77b583e636c3704f6f4a3756408fd9dc32fe77e2a4093","schema_version":"1.0","event_id":"sha256:3cc9e3b86727b95879d77b583e636c3704f6f4a3756408fd9dc32fe77e2a4093"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CKC3SUNA4TX72QWSODPGRZAIXI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiprocessor Approximate Message Passing with Column-Wise Partitioning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Dror Baron, Yanting Ma, Yue M. Lu","submitted_at":"2017-01-10T13:24:20Z","abstract_excerpt":"Solving a large-scale regularized linear inverse problem using multiple processors is important in various real-world applications due to the limitations of individual processors and constraints on data sharing policies. This paper focuses on the setting where the matrix is partitioned column-wise. We extend the algorithmic framework and the theoretical analysis of approximate message passing (AMP), an iterative algorithm for solving linear inverse problems, whose asymptotic dynamics are characterized by state evolution (SE). In particular, we show that column-wise multiprocessor AMP (C-MP-AMP"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02578","kind":"arxiv","version":2},"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":"2026-05-18T00:51:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"stHc2Qh9X63fTAY/4qjYmLR8Fp3IJsu1VmvVzGknApkPe1qhsJ5qqB4APpl888vIA46QQEud43JQnYiVCsjvDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T05:14:58.403857Z"},"content_sha256":"eb345e44a918ed5e3903e15315065323aebc8e6ade229133b3475a0ce23c6bc3","schema_version":"1.0","event_id":"sha256:eb345e44a918ed5e3903e15315065323aebc8e6ade229133b3475a0ce23c6bc3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CKC3SUNA4TX72QWSODPGRZAIXI/bundle.json","state_url":"https://pith.science/pith/CKC3SUNA4TX72QWSODPGRZAIXI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CKC3SUNA4TX72QWSODPGRZAIXI/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":"2026-06-20T05:14:58Z","links":{"resolver":"https://pith.science/pith/CKC3SUNA4TX72QWSODPGRZAIXI","bundle":"https://pith.science/pith/CKC3SUNA4TX72QWSODPGRZAIXI/bundle.json","state":"https://pith.science/pith/CKC3SUNA4TX72QWSODPGRZAIXI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CKC3SUNA4TX72QWSODPGRZAIXI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CKC3SUNA4TX72QWSODPGRZAIXI","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":"37a50ca391c1d80e59f196cbf6667dcecc555e172a5bc479b3af168a4cbb80c6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-10T13:24:20Z","title_canon_sha256":"1bb5ece23e11ac0a1cbbc1c141a2490620811ff790953ddf75a2a7af52911590"},"schema_version":"1.0","source":{"id":"1701.02578","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02578","created_at":"2026-05-18T00:51:53Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02578v2","created_at":"2026-05-18T00:51:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02578","created_at":"2026-05-18T00:51:53Z"},{"alias_kind":"pith_short_12","alias_value":"CKC3SUNA4TX7","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CKC3SUNA4TX72QWS","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CKC3SUNA","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:eb345e44a918ed5e3903e15315065323aebc8e6ade229133b3475a0ce23c6bc3","target":"graph","created_at":"2026-05-18T00:51:53Z","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":"Solving a large-scale regularized linear inverse problem using multiple processors is important in various real-world applications due to the limitations of individual processors and constraints on data sharing policies. This paper focuses on the setting where the matrix is partitioned column-wise. We extend the algorithmic framework and the theoretical analysis of approximate message passing (AMP), an iterative algorithm for solving linear inverse problems, whose asymptotic dynamics are characterized by state evolution (SE). In particular, we show that column-wise multiprocessor AMP (C-MP-AMP","authors_text":"Dror Baron, Yanting Ma, Yue M. Lu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-10T13:24:20Z","title":"Multiprocessor Approximate Message Passing with Column-Wise Partitioning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02578","kind":"arxiv","version":2},"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":"sha256:3cc9e3b86727b95879d77b583e636c3704f6f4a3756408fd9dc32fe77e2a4093","target":"record","created_at":"2026-05-18T00:51:53Z","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":"37a50ca391c1d80e59f196cbf6667dcecc555e172a5bc479b3af168a4cbb80c6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-01-10T13:24:20Z","title_canon_sha256":"1bb5ece23e11ac0a1cbbc1c141a2490620811ff790953ddf75a2a7af52911590"},"schema_version":"1.0","source":{"id":"1701.02578","kind":"arxiv","version":2}},"canonical_sha256":"1285b951a0e4effd42d270de68e408ba04e21ad5e68e61d7e0f919451585d676","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1285b951a0e4effd42d270de68e408ba04e21ad5e68e61d7e0f919451585d676","first_computed_at":"2026-05-18T00:51:53.086010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:53.086010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lj83uT5CMKxlbQQEabCR356sepv3AzvNkXxTzgc/8QKGSJA/p822zMI9pGFsonah9t+GMRAvE5alm8uCc6dLAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:53.086635Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.02578","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3cc9e3b86727b95879d77b583e636c3704f6f4a3756408fd9dc32fe77e2a4093","sha256:eb345e44a918ed5e3903e15315065323aebc8e6ade229133b3475a0ce23c6bc3"],"state_sha256":"7c5cd48a816732395f132691d858d2ff6b9cce329006df03b5484a11c04ca26f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7tYWEwwSwbL98jE2AAvaEvFa+Q99WTNyDF3M2wqWfQhejZU4HEvg2w0EtQ08in9a/0h1eIyhcg9jQUzR9pACCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T05:14:58.405887Z","bundle_sha256":"60d715db5cad1f48ba0a58f11b97640c21c10349887d885a28f6e500a094a2eb"}}