{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5PDMMS7T25RFSOMP4M6Y5L4SUZ","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":"4823b45ea14eb30a4e74b20c90c43ee26a0934e2b70f91411a25431f4fe74144","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2026-05-29T11:13:00Z","title_canon_sha256":"77fb3f6785056212a9eb8f599de88d2fed7e3d6bf616ed5a4ff7c73f63260af2"},"schema_version":"1.0","source":{"id":"2605.31163","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.31163","created_at":"2026-06-01T01:04:01Z"},{"alias_kind":"arxiv_version","alias_value":"2605.31163v1","created_at":"2026-06-01T01:04:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.31163","created_at":"2026-06-01T01:04:01Z"},{"alias_kind":"pith_short_12","alias_value":"5PDMMS7T25RF","created_at":"2026-06-01T01:04:01Z"},{"alias_kind":"pith_short_16","alias_value":"5PDMMS7T25RFSOMP","created_at":"2026-06-01T01:04:01Z"},{"alias_kind":"pith_short_8","alias_value":"5PDMMS7T","created_at":"2026-06-01T01:04:01Z"}],"graph_snapshots":[{"event_id":"sha256:f5f7e74e32594e70175f963fd0ed93486638b73a42f6d5b6868045bc9b41b6d9","target":"graph","created_at":"2026-06-01T01:04:01Z","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/2605.31163/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the design-model framework: a way to derive efficient recurrent sequence maps from explicit assumptions about memory. A design model writes evidence into memory by exact Bayesian filtering; a query-dependent readout produces a predictive distribution whose mean is the layer output. In our linear-Gaussian instantiation, the \\emph{Bayesian Layer} propagates both a mean and a covariance: the covariance tracks uncertainty over stored associations, steering writes toward uncertain directions, attenuating gains as evidence accumulates, and preserving confident memories. The same framewo","authors_text":"Cristina Savin, Hyungju Jeon, Il Memming Park, Matthew Dowling","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2026-05-29T11:13:00Z","title":"Memory by Design: Probabilistic Sequence Layers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.31163","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":"sha256:2222b4a62b92c579df6519dedfa8595d6fd4d55137f8f816a0f5bae55d078681","target":"record","created_at":"2026-06-01T01:04:01Z","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":"4823b45ea14eb30a4e74b20c90c43ee26a0934e2b70f91411a25431f4fe74144","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2026-05-29T11:13:00Z","title_canon_sha256":"77fb3f6785056212a9eb8f599de88d2fed7e3d6bf616ed5a4ff7c73f63260af2"},"schema_version":"1.0","source":{"id":"2605.31163","kind":"arxiv","version":1}},"canonical_sha256":"ebc6c64bf3d76259398fe33d8eaf92a6623933db0c0d58b84b3131981448fed0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebc6c64bf3d76259398fe33d8eaf92a6623933db0c0d58b84b3131981448fed0","first_computed_at":"2026-06-01T01:04:01.942835Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-01T01:04:01.942835Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UBNBDjcfYTswPtPi2WNS1DW4klbnxFBvmL9QawQ3yetTQ/JU4eUctprtIX7iTpFgaqkqwTSQJaBhIm4eAEtCAQ==","signature_status":"signed_v1","signed_at":"2026-06-01T01:04:01.943391Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.31163","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2222b4a62b92c579df6519dedfa8595d6fd4d55137f8f816a0f5bae55d078681","sha256:f5f7e74e32594e70175f963fd0ed93486638b73a42f6d5b6868045bc9b41b6d9"],"state_sha256":"720084b18e241fe8f6ccf11cb71e5c48e337c5c45d613883bf2b5b0a3f99f582"}