{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:RKLULOKDH6UEPXOBPPPEXP4P2O","short_pith_number":"pith:RKLULOKD","canonical_record":{"source":{"id":"2311.05111","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-11-09T02:55:28Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e230c8002a1391879c3d13f8e968a6172f52fa81ae2f8dd34a69b06f41e614e9","abstract_canon_sha256":"9a13588b1aa6702abfea52a0054733bd399e970cc3ba1b43eca5be4370629274"},"schema_version":"1.0"},"canonical_sha256":"8a9745b9433fa847ddc17bde4bbf8fd3963249fef0dae88d373e0dd12090231b","source":{"kind":"arxiv","id":"2311.05111","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.05111","created_at":"2026-07-05T09:26:56Z"},{"alias_kind":"arxiv_version","alias_value":"2311.05111v2","created_at":"2026-07-05T09:26:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.05111","created_at":"2026-07-05T09:26:56Z"},{"alias_kind":"pith_short_12","alias_value":"RKLULOKDH6UE","created_at":"2026-07-05T09:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"RKLULOKDH6UEPXOB","created_at":"2026-07-05T09:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"RKLULOKD","created_at":"2026-07-05T09:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:RKLULOKDH6UEPXOBPPPEXP4P2O","target":"record","payload":{"canonical_record":{"source":{"id":"2311.05111","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-11-09T02:55:28Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e230c8002a1391879c3d13f8e968a6172f52fa81ae2f8dd34a69b06f41e614e9","abstract_canon_sha256":"9a13588b1aa6702abfea52a0054733bd399e970cc3ba1b43eca5be4370629274"},"schema_version":"1.0"},"canonical_sha256":"8a9745b9433fa847ddc17bde4bbf8fd3963249fef0dae88d373e0dd12090231b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:26:56.895420Z","signature_b64":"oEUAa2Hzt8ENJwObYaXsEejYfh+e6Aw/oVSl6vM7wT14W2qWPiiIjqufWXh9EeJUFyzaVuWiL2Tb7UBQOMvtAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a9745b9433fa847ddc17bde4bbf8fd3963249fef0dae88d373e0dd12090231b","last_reissued_at":"2026-07-05T09:26:56.895006Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:26:56.895006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.05111","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":"2026-07-05T09:26:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VcTy6LCsiz85pXTxmdnIMyihQWwIROF7fbPa9fZNLMgHzm5Ec1bTlnHWShySDUlWtMmIFa6f4hjwXmK9qQVWDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T08:44:16.202141Z"},"content_sha256":"3caf98c2ddb8ccb0801820d82048e787443d1929b48f54d14f9a2d06539a0ec3","schema_version":"1.0","event_id":"sha256:3caf98c2ddb8ccb0801820d82048e787443d1929b48f54d14f9a2d06539a0ec3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:RKLULOKDH6UEPXOBPPPEXP4P2O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vector Approximate Survey Propagation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Haochuan Zhang, Huimin Zhu, Qun Chen","submitted_at":"2023-11-09T02:55:28Z","abstract_excerpt":"Approximate Message Passing (AMP), originally designed to solve high-dimensional linear inverse problems, has found broad applications in signal processing and statistical inference. Among its key variants, Vector Approximate Message Passing (VAMP) and Generalized Approximate Survey Propagation (GASP) have demonstrated effectiveness even in scenarios where the assumed generative models differ from the true models. However, the maximum a posteriori (MAP) versions of VAMP and GASP have limitations: VAMP is restricted to differentiable priors and likelihoods, while GASP requires the measurement m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.05111","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2311.05111/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":"2026-07-05T09:26:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P/7PL7er9G0CBxkWPpexkqx5wIy3fJkwMx+PyuY7QbL930wGFgxe5jHA7IrHx6ZjqIrCCO953pGZodwyZEU5BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T08:44:16.202787Z"},"content_sha256":"1fb1f4bcbfcb659f5ad89c6a49e7181aa1e698de1af2cb2eb19c626c6ffbbc7b","schema_version":"1.0","event_id":"sha256:1fb1f4bcbfcb659f5ad89c6a49e7181aa1e698de1af2cb2eb19c626c6ffbbc7b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RKLULOKDH6UEPXOBPPPEXP4P2O/bundle.json","state_url":"https://pith.science/pith/RKLULOKDH6UEPXOBPPPEXP4P2O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RKLULOKDH6UEPXOBPPPEXP4P2O/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":"2026-07-09T08:44:16Z","links":{"resolver":"https://pith.science/pith/RKLULOKDH6UEPXOBPPPEXP4P2O","bundle":"https://pith.science/pith/RKLULOKDH6UEPXOBPPPEXP4P2O/bundle.json","state":"https://pith.science/pith/RKLULOKDH6UEPXOBPPPEXP4P2O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RKLULOKDH6UEPXOBPPPEXP4P2O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RKLULOKDH6UEPXOBPPPEXP4P2O","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":"9a13588b1aa6702abfea52a0054733bd399e970cc3ba1b43eca5be4370629274","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-11-09T02:55:28Z","title_canon_sha256":"e230c8002a1391879c3d13f8e968a6172f52fa81ae2f8dd34a69b06f41e614e9"},"schema_version":"1.0","source":{"id":"2311.05111","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.05111","created_at":"2026-07-05T09:26:56Z"},{"alias_kind":"arxiv_version","alias_value":"2311.05111v2","created_at":"2026-07-05T09:26:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.05111","created_at":"2026-07-05T09:26:56Z"},{"alias_kind":"pith_short_12","alias_value":"RKLULOKDH6UE","created_at":"2026-07-05T09:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"RKLULOKDH6UEPXOB","created_at":"2026-07-05T09:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"RKLULOKD","created_at":"2026-07-05T09:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:1fb1f4bcbfcb659f5ad89c6a49e7181aa1e698de1af2cb2eb19c626c6ffbbc7b","target":"graph","created_at":"2026-07-05T09:26:56Z","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/2311.05111/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Approximate Message Passing (AMP), originally designed to solve high-dimensional linear inverse problems, has found broad applications in signal processing and statistical inference. Among its key variants, Vector Approximate Message Passing (VAMP) and Generalized Approximate Survey Propagation (GASP) have demonstrated effectiveness even in scenarios where the assumed generative models differ from the true models. However, the maximum a posteriori (MAP) versions of VAMP and GASP have limitations: VAMP is restricted to differentiable priors and likelihoods, while GASP requires the measurement m","authors_text":"Haochuan Zhang, Huimin Zhu, Qun Chen","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-11-09T02:55:28Z","title":"Vector Approximate Survey Propagation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.05111","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":"sha256:3caf98c2ddb8ccb0801820d82048e787443d1929b48f54d14f9a2d06539a0ec3","target":"record","created_at":"2026-07-05T09:26:56Z","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":"9a13588b1aa6702abfea52a0054733bd399e970cc3ba1b43eca5be4370629274","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-11-09T02:55:28Z","title_canon_sha256":"e230c8002a1391879c3d13f8e968a6172f52fa81ae2f8dd34a69b06f41e614e9"},"schema_version":"1.0","source":{"id":"2311.05111","kind":"arxiv","version":2}},"canonical_sha256":"8a9745b9433fa847ddc17bde4bbf8fd3963249fef0dae88d373e0dd12090231b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a9745b9433fa847ddc17bde4bbf8fd3963249fef0dae88d373e0dd12090231b","first_computed_at":"2026-07-05T09:26:56.895006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:26:56.895006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oEUAa2Hzt8ENJwObYaXsEejYfh+e6Aw/oVSl6vM7wT14W2qWPiiIjqufWXh9EeJUFyzaVuWiL2Tb7UBQOMvtAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:26:56.895420Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.05111","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3caf98c2ddb8ccb0801820d82048e787443d1929b48f54d14f9a2d06539a0ec3","sha256:1fb1f4bcbfcb659f5ad89c6a49e7181aa1e698de1af2cb2eb19c626c6ffbbc7b"],"state_sha256":"22d2792e8a0979da43401f17983a72953e29704ab3aa11e4b8960b1ca6e7b41b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZsnWbM1NyihjiEjwhhiA5Ce83XOmL5gBGYY1HCN4NVpgt6nO9cUtAInta1iIRB+bBzJL2fmzkL606w6a6tihAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-09T08:44:16.206565Z","bundle_sha256":"8dc1bd0cc0936d3bab768d118cf7911aac9a7d39b33bb1b3cdae640f9267b0eb"}}