{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TUH7FQ2U3SLXT2QC5DLBYU7Q4J","short_pith_number":"pith:TUH7FQ2U","canonical_record":{"source":{"id":"1609.06789","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-09-22T01:04:45Z","cross_cats_sorted":[],"title_canon_sha256":"6bf93920c1653467188a23e561dadead72b72cbc7b8b15c1b8513e65b876539d","abstract_canon_sha256":"3970b20a2bede9bca7170f22a359941e246e25328416f600e66d2073ff67b4b0"},"schema_version":"1.0"},"canonical_sha256":"9d0ff2c354dc9779ea02e8d61c53f0e2785a0d8d52177c5d286057defdffbf78","source":{"kind":"arxiv","id":"1609.06789","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.06789","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"1609.06789v2","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06789","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"TUH7FQ2U3SLX","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TUH7FQ2U3SLXT2QC","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TUH7FQ2U","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TUH7FQ2U3SLXT2QC5DLBYU7Q4J","target":"record","payload":{"canonical_record":{"source":{"id":"1609.06789","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-09-22T01:04:45Z","cross_cats_sorted":[],"title_canon_sha256":"6bf93920c1653467188a23e561dadead72b72cbc7b8b15c1b8513e65b876539d","abstract_canon_sha256":"3970b20a2bede9bca7170f22a359941e246e25328416f600e66d2073ff67b4b0"},"schema_version":"1.0"},"canonical_sha256":"9d0ff2c354dc9779ea02e8d61c53f0e2785a0d8d52177c5d286057defdffbf78","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:49.305697Z","signature_b64":"E9Xxq7AbHv3HWi7fMbuA8yI8FDuZfxMqZe1jL02A5PyJENiL14fO1u7QWvro3dXEM2qLcvo30TwNUi0/onUFBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d0ff2c354dc9779ea02e8d61c53f0e2785a0d8d52177c5d286057defdffbf78","last_reissued_at":"2026-05-18T00:20:49.305232Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:49.305232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.06789","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":"2026-05-18T00:20:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0UZ+essjufVa/AF3g+LEWdloGB3zxK109XPm00JsZX4d7r8LC91SSJ4810SRLtyQIf9TSVfBx+Q5a2G3eLACDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:02:17.499654Z"},"content_sha256":"849ce10b0fa25a481afcb8b379b0446d3fb3dcee2cf8e56f761047e387a9b2b4","schema_version":"1.0","event_id":"sha256:849ce10b0fa25a481afcb8b379b0446d3fb3dcee2cf8e56f761047e387a9b2b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TUH7FQ2U3SLXT2QC5DLBYU7Q4J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Krigings Over Space and Time Based on Latent Low-Dimensional Structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Da Huang, Qiwei Yao, Rongmao Zhang","submitted_at":"2016-09-22T01:04:45Z","abstract_excerpt":"We propose a new approach to represent nonparametrically the linear dependence structure of a spatio-temporal process in terms of latent common factors. Though it is formally similar to the existing reduced rank approximation methods (Section 7.1.3 of Cressie and Wikle, 2011), the fundamental difference is that the low-dimensional structure is completely unknown in our setting, which is learned from the data collected irregularly over space but regularly over time. Furthermore a graph Laplacian is incorporated in the learning in order to take the advantage of the continuity over space, and a n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06789","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":""},"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":"2026-05-18T00:20:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GTABoq1eKXFnWqj7wFeNBmv5FpVCbfvEjkVSgq8fyYdHRZEyhIPxYsc1ucw2jjQtsp1sQ5gcwES7W36psPe9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:02:17.500022Z"},"content_sha256":"0d9406cb142ec29c8beb562c1ce23bde5292c21ea7d42e84da52fb44e9359837","schema_version":"1.0","event_id":"sha256:0d9406cb142ec29c8beb562c1ce23bde5292c21ea7d42e84da52fb44e9359837"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TUH7FQ2U3SLXT2QC5DLBYU7Q4J/bundle.json","state_url":"https://pith.science/pith/TUH7FQ2U3SLXT2QC5DLBYU7Q4J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TUH7FQ2U3SLXT2QC5DLBYU7Q4J/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":"2026-05-26T17:02:17Z","links":{"resolver":"https://pith.science/pith/TUH7FQ2U3SLXT2QC5DLBYU7Q4J","bundle":"https://pith.science/pith/TUH7FQ2U3SLXT2QC5DLBYU7Q4J/bundle.json","state":"https://pith.science/pith/TUH7FQ2U3SLXT2QC5DLBYU7Q4J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TUH7FQ2U3SLXT2QC5DLBYU7Q4J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TUH7FQ2U3SLXT2QC5DLBYU7Q4J","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":"3970b20a2bede9bca7170f22a359941e246e25328416f600e66d2073ff67b4b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-09-22T01:04:45Z","title_canon_sha256":"6bf93920c1653467188a23e561dadead72b72cbc7b8b15c1b8513e65b876539d"},"schema_version":"1.0","source":{"id":"1609.06789","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.06789","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"1609.06789v2","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06789","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"TUH7FQ2U3SLX","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TUH7FQ2U3SLXT2QC","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TUH7FQ2U","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:0d9406cb142ec29c8beb562c1ce23bde5292c21ea7d42e84da52fb44e9359837","target":"graph","created_at":"2026-05-18T00:20:49Z","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"},"paper":{"abstract_excerpt":"We propose a new approach to represent nonparametrically the linear dependence structure of a spatio-temporal process in terms of latent common factors. Though it is formally similar to the existing reduced rank approximation methods (Section 7.1.3 of Cressie and Wikle, 2011), the fundamental difference is that the low-dimensional structure is completely unknown in our setting, which is learned from the data collected irregularly over space but regularly over time. Furthermore a graph Laplacian is incorporated in the learning in order to take the advantage of the continuity over space, and a n","authors_text":"Da Huang, Qiwei Yao, Rongmao Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-09-22T01:04:45Z","title":"Krigings Over Space and Time Based on Latent Low-Dimensional Structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06789","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":"sha256:849ce10b0fa25a481afcb8b379b0446d3fb3dcee2cf8e56f761047e387a9b2b4","target":"record","created_at":"2026-05-18T00:20:49Z","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":"3970b20a2bede9bca7170f22a359941e246e25328416f600e66d2073ff67b4b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-09-22T01:04:45Z","title_canon_sha256":"6bf93920c1653467188a23e561dadead72b72cbc7b8b15c1b8513e65b876539d"},"schema_version":"1.0","source":{"id":"1609.06789","kind":"arxiv","version":2}},"canonical_sha256":"9d0ff2c354dc9779ea02e8d61c53f0e2785a0d8d52177c5d286057defdffbf78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d0ff2c354dc9779ea02e8d61c53f0e2785a0d8d52177c5d286057defdffbf78","first_computed_at":"2026-05-18T00:20:49.305232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:49.305232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E9Xxq7AbHv3HWi7fMbuA8yI8FDuZfxMqZe1jL02A5PyJENiL14fO1u7QWvro3dXEM2qLcvo30TwNUi0/onUFBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:49.305697Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.06789","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:849ce10b0fa25a481afcb8b379b0446d3fb3dcee2cf8e56f761047e387a9b2b4","sha256:0d9406cb142ec29c8beb562c1ce23bde5292c21ea7d42e84da52fb44e9359837"],"state_sha256":"1079f9a67177935e42a293ce1c1070d716b0b260d113dca0e2921080337d401a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H4d1jt0b+ZTv8j06IOb7/L8O17ptYs2hXrd9wTZy9/PDVhNjilp5k87henrVbusoVMjb3FSVTtRE0S+vKI8lBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T17:02:17.502668Z","bundle_sha256":"fd98b6eab04fcaeaf01abea4384f86414aa8c06563dfa632603e851541e765f8"}}