{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:PU7ZZYAWJLOX2TFIKKF6PY5NW2","short_pith_number":"pith:PU7ZZYAW","canonical_record":{"source":{"id":"2109.12357","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-09-25T13:04:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e42c6768ac597149daa325a7d560eb22949f680e5de853516bbd71f03208422e","abstract_canon_sha256":"554842f3e84654e8a425c8e20c2507b6124d9e32efb752cc0168a39afdcfc8d1"},"schema_version":"1.0"},"canonical_sha256":"7d3f9ce0164add7d4ca8528be7e3adb68e6d3a22f2e855d2a31a699317f583a5","source":{"kind":"arxiv","id":"2109.12357","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.12357","created_at":"2026-07-05T03:17:19Z"},{"alias_kind":"arxiv_version","alias_value":"2109.12357v1","created_at":"2026-07-05T03:17:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.12357","created_at":"2026-07-05T03:17:19Z"},{"alias_kind":"pith_short_12","alias_value":"PU7ZZYAWJLOX","created_at":"2026-07-05T03:17:19Z"},{"alias_kind":"pith_short_16","alias_value":"PU7ZZYAWJLOX2TFI","created_at":"2026-07-05T03:17:19Z"},{"alias_kind":"pith_short_8","alias_value":"PU7ZZYAW","created_at":"2026-07-05T03:17:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:PU7ZZYAWJLOX2TFIKKF6PY5NW2","target":"record","payload":{"canonical_record":{"source":{"id":"2109.12357","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-09-25T13:04:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e42c6768ac597149daa325a7d560eb22949f680e5de853516bbd71f03208422e","abstract_canon_sha256":"554842f3e84654e8a425c8e20c2507b6124d9e32efb752cc0168a39afdcfc8d1"},"schema_version":"1.0"},"canonical_sha256":"7d3f9ce0164add7d4ca8528be7e3adb68e6d3a22f2e855d2a31a699317f583a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:17:19.605631Z","signature_b64":"HSDt1FhzlnsQBh6PcE0o5ay7ql9AicWtpHimtAWF06PIDcYD+fG3O5DAFdR3rjAGPbvPjg4EZpfpFjdkC7D4Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d3f9ce0164add7d4ca8528be7e3adb68e6d3a22f2e855d2a31a699317f583a5","last_reissued_at":"2026-07-05T03:17:19.605222Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:17:19.605222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2109.12357","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":"2026-07-05T03:17:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xLMbIt8ZMrt5xSR3z+gtMXDm8umq44wlXFTOQC74L1y2Z4rt9Ig2EfEy7W3+a+D2azts4xNZo6BMNpcJ09J2Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T12:35:42.407635Z"},"content_sha256":"60fbe3c45c361a83b7ee0064954c13d93aad0df5b614c72423d63b083008c9e3","schema_version":"1.0","event_id":"sha256:60fbe3c45c361a83b7ee0064954c13d93aad0df5b614c72423d63b083008c9e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:PU7ZZYAWJLOX2TFIKKF6PY5NW2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Replica Analysis for Generalized Linear Regression with IID Row Prior","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Hongwen Yang, Qiuyun Zou","submitted_at":"2021-09-25T13:04:27Z","abstract_excerpt":"Different from a typical independent identically distributed (IID) element assumption, this paper studies the estimation of IID row random matrix for the generalized linear model constructed by a linear mixing space and a row-wise mapping channel. The objective inference problem arises in many engineering fields, such as wireless communications, compressed sensing, and phase retrieval. We apply the replica method from statistical mechanics to analyze the exact minimum mean square error (MMSE) under the Bayes-optimal setting, in which the explicit replica symmetric solution of the exact MMSE es"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.12357","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2109.12357/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:17:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wG4uFimCKDexSQjZKTiOtjjXTb3SLVjuX5GW6wOZsWu+PT5WNUrk5qED2sAuWjUpfrumwa1ShJRH54QwjoyBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T12:35:42.408032Z"},"content_sha256":"28fb21b8a33ad753615097383d898a22ab4fe8b2921f36b1d1bc2e4c3c8570e0","schema_version":"1.0","event_id":"sha256:28fb21b8a33ad753615097383d898a22ab4fe8b2921f36b1d1bc2e4c3c8570e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PU7ZZYAWJLOX2TFIKKF6PY5NW2/bundle.json","state_url":"https://pith.science/pith/PU7ZZYAWJLOX2TFIKKF6PY5NW2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PU7ZZYAWJLOX2TFIKKF6PY5NW2/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":"2026-08-17T12:35:42Z","links":{"resolver":"https://pith.science/pith/PU7ZZYAWJLOX2TFIKKF6PY5NW2","bundle":"https://pith.science/pith/PU7ZZYAWJLOX2TFIKKF6PY5NW2/bundle.json","state":"https://pith.science/pith/PU7ZZYAWJLOX2TFIKKF6PY5NW2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PU7ZZYAWJLOX2TFIKKF6PY5NW2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:PU7ZZYAWJLOX2TFIKKF6PY5NW2","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":"554842f3e84654e8a425c8e20c2507b6124d9e32efb752cc0168a39afdcfc8d1","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-09-25T13:04:27Z","title_canon_sha256":"e42c6768ac597149daa325a7d560eb22949f680e5de853516bbd71f03208422e"},"schema_version":"1.0","source":{"id":"2109.12357","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.12357","created_at":"2026-07-05T03:17:19Z"},{"alias_kind":"arxiv_version","alias_value":"2109.12357v1","created_at":"2026-07-05T03:17:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.12357","created_at":"2026-07-05T03:17:19Z"},{"alias_kind":"pith_short_12","alias_value":"PU7ZZYAWJLOX","created_at":"2026-07-05T03:17:19Z"},{"alias_kind":"pith_short_16","alias_value":"PU7ZZYAWJLOX2TFI","created_at":"2026-07-05T03:17:19Z"},{"alias_kind":"pith_short_8","alias_value":"PU7ZZYAW","created_at":"2026-07-05T03:17:19Z"}],"graph_snapshots":[{"event_id":"sha256:28fb21b8a33ad753615097383d898a22ab4fe8b2921f36b1d1bc2e4c3c8570e0","target":"graph","created_at":"2026-07-05T03:17:19Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2109.12357/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Different from a typical independent identically distributed (IID) element assumption, this paper studies the estimation of IID row random matrix for the generalized linear model constructed by a linear mixing space and a row-wise mapping channel. The objective inference problem arises in many engineering fields, such as wireless communications, compressed sensing, and phase retrieval. We apply the replica method from statistical mechanics to analyze the exact minimum mean square error (MMSE) under the Bayes-optimal setting, in which the explicit replica symmetric solution of the exact MMSE es","authors_text":"Hongwen Yang, Qiuyun Zou","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-09-25T13:04:27Z","title":"Replica Analysis for Generalized Linear Regression with IID Row Prior"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.12357","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":"sha256:60fbe3c45c361a83b7ee0064954c13d93aad0df5b614c72423d63b083008c9e3","target":"record","created_at":"2026-07-05T03:17:19Z","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":"554842f3e84654e8a425c8e20c2507b6124d9e32efb752cc0168a39afdcfc8d1","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-09-25T13:04:27Z","title_canon_sha256":"e42c6768ac597149daa325a7d560eb22949f680e5de853516bbd71f03208422e"},"schema_version":"1.0","source":{"id":"2109.12357","kind":"arxiv","version":1}},"canonical_sha256":"7d3f9ce0164add7d4ca8528be7e3adb68e6d3a22f2e855d2a31a699317f583a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d3f9ce0164add7d4ca8528be7e3adb68e6d3a22f2e855d2a31a699317f583a5","first_computed_at":"2026-07-05T03:17:19.605222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:17:19.605222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HSDt1FhzlnsQBh6PcE0o5ay7ql9AicWtpHimtAWF06PIDcYD+fG3O5DAFdR3rjAGPbvPjg4EZpfpFjdkC7D4Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:17:19.605631Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.12357","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60fbe3c45c361a83b7ee0064954c13d93aad0df5b614c72423d63b083008c9e3","sha256:28fb21b8a33ad753615097383d898a22ab4fe8b2921f36b1d1bc2e4c3c8570e0"],"state_sha256":"d255e886f4ae52af3e2a6f7ffb2fe8e2a208066e0b667890d75857e4427d6887"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JK8BpxiVyHGM5sr9CmeH8jhRXfNKSddIfp+JGBCYMbgn5xfHEY5YupieAozB2XRinZN76k7Y4cNfqxqMJ8OeAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T12:35:42.410725Z","bundle_sha256":"52a8c4f00c9fa4efaa5b209f2972c348843ed3ee3b7dce5ff1059ae110758652"}}