{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:VFHWTA7CJDZYWQLLVT3FHD4TAF","short_pith_number":"pith:VFHWTA7C","canonical_record":{"source":{"id":"2606.10085","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-08T19:09:58Z","cross_cats_sorted":["eess.SP","math.OC"],"title_canon_sha256":"eb26d8fdb90afb3c07b6b7564f73989952627dbfb9f910cf8f834e576c970605","abstract_canon_sha256":"c9d8f94119de9ea5b9b4f9915ea36beb62002056d07f623a65c025d216da3e34"},"schema_version":"1.0"},"canonical_sha256":"a94f6983e248f38b416bacf6538f930171dce0245c9e6816d1554ece78b9e944","source":{"kind":"arxiv","id":"2606.10085","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10085","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10085v1","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10085","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_12","alias_value":"VFHWTA7CJDZY","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_16","alias_value":"VFHWTA7CJDZYWQLL","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_8","alias_value":"VFHWTA7C","created_at":"2026-06-10T00:08:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:VFHWTA7CJDZYWQLLVT3FHD4TAF","target":"record","payload":{"canonical_record":{"source":{"id":"2606.10085","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-08T19:09:58Z","cross_cats_sorted":["eess.SP","math.OC"],"title_canon_sha256":"eb26d8fdb90afb3c07b6b7564f73989952627dbfb9f910cf8f834e576c970605","abstract_canon_sha256":"c9d8f94119de9ea5b9b4f9915ea36beb62002056d07f623a65c025d216da3e34"},"schema_version":"1.0"},"canonical_sha256":"a94f6983e248f38b416bacf6538f930171dce0245c9e6816d1554ece78b9e944","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T00:08:48.504013Z","signature_b64":"POeBlME7pnqWZHcu5BzvMve7nQ4zV7c+CitQuvAKp3/WSssv5gNSc3aXCaCFw6SnEFXaF3vkTeddEmPQHljQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a94f6983e248f38b416bacf6538f930171dce0245c9e6816d1554ece78b9e944","last_reissued_at":"2026-06-10T00:08:48.503170Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T00:08:48.503170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.10085","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":"2026-06-10T00:08:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LOScuV71R4HiWk7sLA4TkHfgXxNSrPctSEKXJK4danSqZiGCMKG7JSAzYqHL8+8NNV/HIAFYpJymfKDrUdY4AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T18:10:18.345297Z"},"content_sha256":"2c43b145b3b8246addf6c1edde2e5f95d9962f17da97a9a005a521a24a527014","schema_version":"1.0","event_id":"sha256:2c43b145b3b8246addf6c1edde2e5f95d9962f17da97a9a005a521a24a527014"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:VFHWTA7CJDZYWQLLVT3FHD4TAF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Structured Adaptive Tensor Prediction for Streaming Data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["eess.SP","math.OC"],"primary_cat":"cs.LG","authors_text":"Yang Chen, Zhen Qin","submitted_at":"2026-06-08T19:09:58Z","abstract_excerpt":"Matrix-valued time series arise in a wide range of applications, such as spatio-temporal data from medical imaging and geophysics. Existing methods are mainly designed for static settings and lack adaptability to streaming and time-varying environments. Adaptive filtering techniques have also been largely limited to data with scalar or vector values, leaving adaptive forecasting for matrix-valued time series inadequately understood. To bridge these gaps, we develop an adaptive tensor regression framework that includes Matrix-on-Matrix (MoM) and Tensor-on-Matrix (ToM) formulations for streaming"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10085","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/2606.10085/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":"2026-06-10T00:08:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DHpzy9WT6AvxrZNpNlYrUB4Rr3iwE59W1ORtoLUXOzZgtbnoC/Z/7xEj0QJhqFh2ZkT+ksZMTfqG9bBinPFFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T18:10:18.345745Z"},"content_sha256":"178b72d44635f1c95d17ed7204404b6838aa1a063e2708f286ffac5c7421b836","schema_version":"1.0","event_id":"sha256:178b72d44635f1c95d17ed7204404b6838aa1a063e2708f286ffac5c7421b836"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VFHWTA7CJDZYWQLLVT3FHD4TAF/bundle.json","state_url":"https://pith.science/pith/VFHWTA7CJDZYWQLLVT3FHD4TAF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VFHWTA7CJDZYWQLLVT3FHD4TAF/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":"2026-07-04T18:10:18Z","links":{"resolver":"https://pith.science/pith/VFHWTA7CJDZYWQLLVT3FHD4TAF","bundle":"https://pith.science/pith/VFHWTA7CJDZYWQLLVT3FHD4TAF/bundle.json","state":"https://pith.science/pith/VFHWTA7CJDZYWQLLVT3FHD4TAF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VFHWTA7CJDZYWQLLVT3FHD4TAF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VFHWTA7CJDZYWQLLVT3FHD4TAF","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":"c9d8f94119de9ea5b9b4f9915ea36beb62002056d07f623a65c025d216da3e34","cross_cats_sorted":["eess.SP","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-08T19:09:58Z","title_canon_sha256":"eb26d8fdb90afb3c07b6b7564f73989952627dbfb9f910cf8f834e576c970605"},"schema_version":"1.0","source":{"id":"2606.10085","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10085","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10085v1","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10085","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_12","alias_value":"VFHWTA7CJDZY","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_16","alias_value":"VFHWTA7CJDZYWQLL","created_at":"2026-06-10T00:08:48Z"},{"alias_kind":"pith_short_8","alias_value":"VFHWTA7C","created_at":"2026-06-10T00:08:48Z"}],"graph_snapshots":[{"event_id":"sha256:178b72d44635f1c95d17ed7204404b6838aa1a063e2708f286ffac5c7421b836","target":"graph","created_at":"2026-06-10T00:08:48Z","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/2606.10085/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Matrix-valued time series arise in a wide range of applications, such as spatio-temporal data from medical imaging and geophysics. Existing methods are mainly designed for static settings and lack adaptability to streaming and time-varying environments. Adaptive filtering techniques have also been largely limited to data with scalar or vector values, leaving adaptive forecasting for matrix-valued time series inadequately understood. To bridge these gaps, we develop an adaptive tensor regression framework that includes Matrix-on-Matrix (MoM) and Tensor-on-Matrix (ToM) formulations for streaming","authors_text":"Yang Chen, Zhen Qin","cross_cats":["eess.SP","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-08T19:09:58Z","title":"Structured Adaptive Tensor Prediction for Streaming Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10085","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":"sha256:2c43b145b3b8246addf6c1edde2e5f95d9962f17da97a9a005a521a24a527014","target":"record","created_at":"2026-06-10T00:08:48Z","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":"c9d8f94119de9ea5b9b4f9915ea36beb62002056d07f623a65c025d216da3e34","cross_cats_sorted":["eess.SP","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-06-08T19:09:58Z","title_canon_sha256":"eb26d8fdb90afb3c07b6b7564f73989952627dbfb9f910cf8f834e576c970605"},"schema_version":"1.0","source":{"id":"2606.10085","kind":"arxiv","version":1}},"canonical_sha256":"a94f6983e248f38b416bacf6538f930171dce0245c9e6816d1554ece78b9e944","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a94f6983e248f38b416bacf6538f930171dce0245c9e6816d1554ece78b9e944","first_computed_at":"2026-06-10T00:08:48.503170Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T00:08:48.503170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"POeBlME7pnqWZHcu5BzvMve7nQ4zV7c+CitQuvAKp3/WSssv5gNSc3aXCaCFw6SnEFXaF3vkTeddEmPQHljQAw==","signature_status":"signed_v1","signed_at":"2026-06-10T00:08:48.504013Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.10085","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c43b145b3b8246addf6c1edde2e5f95d9962f17da97a9a005a521a24a527014","sha256:178b72d44635f1c95d17ed7204404b6838aa1a063e2708f286ffac5c7421b836"],"state_sha256":"7cc3101d1ed505889b1581d92119c827969c7184ab9b0e009b9b8c70f4c74bd3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4RxaUTidfS9RoicqXv9oNL83g7bvSJ+DdltnafXkk1TQrpscVMn0YDTWMwA1Lrx0UcBm6aOSdJ00hW6YnxzOBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T18:10:18.348096Z","bundle_sha256":"b691e2a4767fe79cc6ac364f12ac2f103337d37e5caa04ce7b3bfd69ead53bca"}}