{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ICQ5CP6O4ZJHE2MXIJ7EWSL5UD","short_pith_number":"pith:ICQ5CP6O","canonical_record":{"source":{"id":"2603.09221","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-03-10T05:42:13Z","cross_cats_sorted":[],"title_canon_sha256":"0b343be4ecadbed8170fbbcedb868b189aebb368431f0b2fbb4227e5d87b1d39","abstract_canon_sha256":"7cc0e2fdcdfc0ec7a7aebc1ac6f460f235ba4b11b973b149c987135cb8b99e2c"},"schema_version":"1.0"},"canonical_sha256":"40a1d13fcee652726997427e4b497da0cfff82a10c5de154c72526247ad3fffe","source":{"kind":"arxiv","id":"2603.09221","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.09221","created_at":"2026-06-01T01:02:36Z"},{"alias_kind":"arxiv_version","alias_value":"2603.09221v2","created_at":"2026-06-01T01:02:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.09221","created_at":"2026-06-01T01:02:36Z"},{"alias_kind":"pith_short_12","alias_value":"ICQ5CP6O4ZJH","created_at":"2026-06-01T01:02:36Z"},{"alias_kind":"pith_short_16","alias_value":"ICQ5CP6O4ZJHE2MX","created_at":"2026-06-01T01:02:36Z"},{"alias_kind":"pith_short_8","alias_value":"ICQ5CP6O","created_at":"2026-06-01T01:02:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ICQ5CP6O4ZJHE2MXIJ7EWSL5UD","target":"record","payload":{"canonical_record":{"source":{"id":"2603.09221","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-03-10T05:42:13Z","cross_cats_sorted":[],"title_canon_sha256":"0b343be4ecadbed8170fbbcedb868b189aebb368431f0b2fbb4227e5d87b1d39","abstract_canon_sha256":"7cc0e2fdcdfc0ec7a7aebc1ac6f460f235ba4b11b973b149c987135cb8b99e2c"},"schema_version":"1.0"},"canonical_sha256":"40a1d13fcee652726997427e4b497da0cfff82a10c5de154c72526247ad3fffe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-01T01:02:36.602048Z","signature_b64":"LSkmbbJ0o1rQNkgxtLxkiTzHHt2bR85kIqVdHvD4NxODquhyTlXFpRQvVbaR/c+b+4a5nU+wRZNloXs8H8iRBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40a1d13fcee652726997427e4b497da0cfff82a10c5de154c72526247ad3fffe","last_reissued_at":"2026-06-01T01:02:36.601025Z","signature_status":"signed_v1","first_computed_at":"2026-06-01T01:02:36.601025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2603.09221","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":"2026-06-01T01:02:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H2RQbeKbKvWjCw13tl7bEc73XDsAffF510Lr+D2+VXjbSSCRy+jClpTQw7MyYVB++PxlEXcwD1Ga3IIW1yqABw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:32:29.864946Z"},"content_sha256":"ab8a06fff2b949fca166a154093a5161c4aa38920308080de8d480c758fe6afc","schema_version":"1.0","event_id":"sha256:ab8a06fff2b949fca166a154093a5161c4aa38920308080de8d480c758fe6afc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ICQ5CP6O4ZJHE2MXIJ7EWSL5UD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Beyond Test-Time Memory: State-Space Optimal Control for LLM Reasoning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Changlong Yu, Ming Lin, Pan Li, Peihao Wang, Ren\\'e Vidal, Shan Yang, Tesi Xiao, Xijun Wang, Xin Liu, Yu Lou, Zhangyang Wang","submitted_at":"2026-03-10T05:42:13Z","abstract_excerpt":"Associative memory has long underpinned the design of sequential models. Beyond recall, humans reason by projecting future states and selecting goal-directed actions, a capability that modern language models increasingly require but do not natively encode. While prior work uses reinforcement learning or test-time training, planning remains external to the model architecture. We formulate reasoning as optimal control and introduce the Test-Time Control (TTC) layer, which performs finite-horizon LQR planning over latent states at inference time, represents a value function within neural architec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.09221","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/2603.09221/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":"2026-06-01T01:02:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LKpPFIt/FVNoLPXd7jmATiHo9dvWOq9LcLABQHJO51KyiBRbIRI8TxGX2wpUqNTBtovdLESaJ+LFMoSkXKe3DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:32:29.865340Z"},"content_sha256":"a0dbc61130d810f72fd9465abf8bd97af5f9c792b28b8aebcd3ef28f0987ed3d","schema_version":"1.0","event_id":"sha256:a0dbc61130d810f72fd9465abf8bd97af5f9c792b28b8aebcd3ef28f0987ed3d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ICQ5CP6O4ZJHE2MXIJ7EWSL5UD/bundle.json","state_url":"https://pith.science/pith/ICQ5CP6O4ZJHE2MXIJ7EWSL5UD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ICQ5CP6O4ZJHE2MXIJ7EWSL5UD/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":"2026-06-04T08:32:29Z","links":{"resolver":"https://pith.science/pith/ICQ5CP6O4ZJHE2MXIJ7EWSL5UD","bundle":"https://pith.science/pith/ICQ5CP6O4ZJHE2MXIJ7EWSL5UD/bundle.json","state":"https://pith.science/pith/ICQ5CP6O4ZJHE2MXIJ7EWSL5UD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ICQ5CP6O4ZJHE2MXIJ7EWSL5UD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ICQ5CP6O4ZJHE2MXIJ7EWSL5UD","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":"7cc0e2fdcdfc0ec7a7aebc1ac6f460f235ba4b11b973b149c987135cb8b99e2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-03-10T05:42:13Z","title_canon_sha256":"0b343be4ecadbed8170fbbcedb868b189aebb368431f0b2fbb4227e5d87b1d39"},"schema_version":"1.0","source":{"id":"2603.09221","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.09221","created_at":"2026-06-01T01:02:36Z"},{"alias_kind":"arxiv_version","alias_value":"2603.09221v2","created_at":"2026-06-01T01:02:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.09221","created_at":"2026-06-01T01:02:36Z"},{"alias_kind":"pith_short_12","alias_value":"ICQ5CP6O4ZJH","created_at":"2026-06-01T01:02:36Z"},{"alias_kind":"pith_short_16","alias_value":"ICQ5CP6O4ZJHE2MX","created_at":"2026-06-01T01:02:36Z"},{"alias_kind":"pith_short_8","alias_value":"ICQ5CP6O","created_at":"2026-06-01T01:02:36Z"}],"graph_snapshots":[{"event_id":"sha256:a0dbc61130d810f72fd9465abf8bd97af5f9c792b28b8aebcd3ef28f0987ed3d","target":"graph","created_at":"2026-06-01T01:02:36Z","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/2603.09221/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Associative memory has long underpinned the design of sequential models. Beyond recall, humans reason by projecting future states and selecting goal-directed actions, a capability that modern language models increasingly require but do not natively encode. While prior work uses reinforcement learning or test-time training, planning remains external to the model architecture. We formulate reasoning as optimal control and introduce the Test-Time Control (TTC) layer, which performs finite-horizon LQR planning over latent states at inference time, represents a value function within neural architec","authors_text":"Changlong Yu, Ming Lin, Pan Li, Peihao Wang, Ren\\'e Vidal, Shan Yang, Tesi Xiao, Xijun Wang, Xin Liu, Yu Lou, Zhangyang Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-03-10T05:42:13Z","title":"Beyond Test-Time Memory: State-Space Optimal Control for LLM Reasoning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.09221","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:ab8a06fff2b949fca166a154093a5161c4aa38920308080de8d480c758fe6afc","target":"record","created_at":"2026-06-01T01:02:36Z","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":"7cc0e2fdcdfc0ec7a7aebc1ac6f460f235ba4b11b973b149c987135cb8b99e2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-03-10T05:42:13Z","title_canon_sha256":"0b343be4ecadbed8170fbbcedb868b189aebb368431f0b2fbb4227e5d87b1d39"},"schema_version":"1.0","source":{"id":"2603.09221","kind":"arxiv","version":2}},"canonical_sha256":"40a1d13fcee652726997427e4b497da0cfff82a10c5de154c72526247ad3fffe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40a1d13fcee652726997427e4b497da0cfff82a10c5de154c72526247ad3fffe","first_computed_at":"2026-06-01T01:02:36.601025Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-01T01:02:36.601025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LSkmbbJ0o1rQNkgxtLxkiTzHHt2bR85kIqVdHvD4NxODquhyTlXFpRQvVbaR/c+b+4a5nU+wRZNloXs8H8iRBg==","signature_status":"signed_v1","signed_at":"2026-06-01T01:02:36.602048Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.09221","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab8a06fff2b949fca166a154093a5161c4aa38920308080de8d480c758fe6afc","sha256:a0dbc61130d810f72fd9465abf8bd97af5f9c792b28b8aebcd3ef28f0987ed3d"],"state_sha256":"ea0428866fbfdf0c42845ef2c10ea00fb0839665964b9154a90f5127e31956d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2fL8pU1l86Xqo7yR21H93VR1RvKT4mnP0SUwtIip+FkjTCyeLNdGpGRD3IjaLrcUy9dQ9cWV/gFeNBxGaWmtBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T08:32:29.867449Z","bundle_sha256":"692ca3767f3e574e6a04f997f652c92d8b31ce7ddd0e551dc0d29d410a420994"}}