{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:D57XE53IRL2D7JIR5JRJK37MDA","short_pith_number":"pith:D57XE53I","canonical_record":{"source":{"id":"1507.03401","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-07-13T11:19:26Z","cross_cats_sorted":[],"title_canon_sha256":"e5fd0b9b3c0101742476ddcac6897acafe69f67af8357fc9a01752289c2c0c8d","abstract_canon_sha256":"17330df6a9774f2805a0b65151de2f228cbee5e4082dc72367cb60e036850ae7"},"schema_version":"1.0"},"canonical_sha256":"1f7f7277688af43fa511ea62956fec18231e64a115b3a6f03da42d01154eb5fc","source":{"kind":"arxiv","id":"1507.03401","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.03401","created_at":"2026-05-18T01:20:03Z"},{"alias_kind":"arxiv_version","alias_value":"1507.03401v2","created_at":"2026-05-18T01:20:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.03401","created_at":"2026-05-18T01:20:03Z"},{"alias_kind":"pith_short_12","alias_value":"D57XE53IRL2D","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D57XE53IRL2D7JIR","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D57XE53I","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:D57XE53IRL2D7JIR5JRJK37MDA","target":"record","payload":{"canonical_record":{"source":{"id":"1507.03401","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-07-13T11:19:26Z","cross_cats_sorted":[],"title_canon_sha256":"e5fd0b9b3c0101742476ddcac6897acafe69f67af8357fc9a01752289c2c0c8d","abstract_canon_sha256":"17330df6a9774f2805a0b65151de2f228cbee5e4082dc72367cb60e036850ae7"},"schema_version":"1.0"},"canonical_sha256":"1f7f7277688af43fa511ea62956fec18231e64a115b3a6f03da42d01154eb5fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:03.554362Z","signature_b64":"apdYlCkT33FFM2xBsrqmT3KFkpP0uJgmVOalcgZA3UXNKDVt5hbXo9ROxxbJwrArzxC0bVuMkHqZx8rfmh05AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f7f7277688af43fa511ea62956fec18231e64a115b3a6f03da42d01154eb5fc","last_reissued_at":"2026-05-18T01:20:03.553758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:03.553758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.03401","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":"2026-05-18T01:20:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XWQUNWxJq+kukYiv6uDTWcHOWrDmUkO/pG4QaqqvjGPiOBLhGnZMDE5AXgHwFI74Qag39lkowTq9G8CbrBwOAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T12:40:48.534227Z"},"content_sha256":"9538e6f329356fdb5ecca5a1d62398e30da7a2f72c29f4303f2d760973f12de3","schema_version":"1.0","event_id":"sha256:9538e6f329356fdb5ecca5a1d62398e30da7a2f72c29f4303f2d760973f12de3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:D57XE53IRL2D7JIR5JRJK37MDA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Evolutionary Spectrum Approach to Incorporate Large-scale Geographical Descriptors on Global Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Joseph Guinness, Stefano Castruccio","submitted_at":"2015-07-13T11:19:26Z","abstract_excerpt":"We introduce a nonstationary spatio-temporal statistical model for gridded data on the sphere. The model specifies a computationally convenient covariance structure that depends on heterogeneous geography. Widely used statistical models on a spherical domain are nonstationary for different latitudes, but stationary at the same latitude (axial symmetry). This assumption has been acknowledged to be too restrictive for quantities such as surface temperature, whose statistical behavior is influenced by large scale geographical descriptors such as land and ocean. We propose an evolutionary spectrum"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03401","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":"2026-05-18T01:20:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"78KUl9Av/yhJCJliUD1TtR/5YFtPHlsY60myKK8+LsjLez9eQC2xRwdK07ajJUV92KJQKKLfLmnAyehSIbv/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T12:40:48.534600Z"},"content_sha256":"110875ae645f87985afe7e40ef04eb700ee0e51aeb580987cf2a33eac6dd7fe9","schema_version":"1.0","event_id":"sha256:110875ae645f87985afe7e40ef04eb700ee0e51aeb580987cf2a33eac6dd7fe9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D57XE53IRL2D7JIR5JRJK37MDA/bundle.json","state_url":"https://pith.science/pith/D57XE53IRL2D7JIR5JRJK37MDA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D57XE53IRL2D7JIR5JRJK37MDA/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":"2026-06-03T12:40:48Z","links":{"resolver":"https://pith.science/pith/D57XE53IRL2D7JIR5JRJK37MDA","bundle":"https://pith.science/pith/D57XE53IRL2D7JIR5JRJK37MDA/bundle.json","state":"https://pith.science/pith/D57XE53IRL2D7JIR5JRJK37MDA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D57XE53IRL2D7JIR5JRJK37MDA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:D57XE53IRL2D7JIR5JRJK37MDA","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":"17330df6a9774f2805a0b65151de2f228cbee5e4082dc72367cb60e036850ae7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-07-13T11:19:26Z","title_canon_sha256":"e5fd0b9b3c0101742476ddcac6897acafe69f67af8357fc9a01752289c2c0c8d"},"schema_version":"1.0","source":{"id":"1507.03401","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.03401","created_at":"2026-05-18T01:20:03Z"},{"alias_kind":"arxiv_version","alias_value":"1507.03401v2","created_at":"2026-05-18T01:20:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.03401","created_at":"2026-05-18T01:20:03Z"},{"alias_kind":"pith_short_12","alias_value":"D57XE53IRL2D","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D57XE53IRL2D7JIR","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D57XE53I","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:110875ae645f87985afe7e40ef04eb700ee0e51aeb580987cf2a33eac6dd7fe9","target":"graph","created_at":"2026-05-18T01:20:03Z","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 introduce a nonstationary spatio-temporal statistical model for gridded data on the sphere. The model specifies a computationally convenient covariance structure that depends on heterogeneous geography. Widely used statistical models on a spherical domain are nonstationary for different latitudes, but stationary at the same latitude (axial symmetry). This assumption has been acknowledged to be too restrictive for quantities such as surface temperature, whose statistical behavior is influenced by large scale geographical descriptors such as land and ocean. We propose an evolutionary spectrum","authors_text":"Joseph Guinness, Stefano Castruccio","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-07-13T11:19:26Z","title":"An Evolutionary Spectrum Approach to Incorporate Large-scale Geographical Descriptors on Global Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03401","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":"sha256:9538e6f329356fdb5ecca5a1d62398e30da7a2f72c29f4303f2d760973f12de3","target":"record","created_at":"2026-05-18T01:20:03Z","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":"17330df6a9774f2805a0b65151de2f228cbee5e4082dc72367cb60e036850ae7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-07-13T11:19:26Z","title_canon_sha256":"e5fd0b9b3c0101742476ddcac6897acafe69f67af8357fc9a01752289c2c0c8d"},"schema_version":"1.0","source":{"id":"1507.03401","kind":"arxiv","version":2}},"canonical_sha256":"1f7f7277688af43fa511ea62956fec18231e64a115b3a6f03da42d01154eb5fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f7f7277688af43fa511ea62956fec18231e64a115b3a6f03da42d01154eb5fc","first_computed_at":"2026-05-18T01:20:03.553758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:03.553758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"apdYlCkT33FFM2xBsrqmT3KFkpP0uJgmVOalcgZA3UXNKDVt5hbXo9ROxxbJwrArzxC0bVuMkHqZx8rfmh05AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:03.554362Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.03401","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9538e6f329356fdb5ecca5a1d62398e30da7a2f72c29f4303f2d760973f12de3","sha256:110875ae645f87985afe7e40ef04eb700ee0e51aeb580987cf2a33eac6dd7fe9"],"state_sha256":"75719aa2f26738c58a2f30cbac7dd036dc46da80d89a92eb564073a8253877cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0DGgSxI7UXaVUTuVKU6wW6upI6U1Cd+XY3CePWxTWZ8CxsR33zDpFr1sSj0c0gJicnkNIi2ln8c3kc/ez3S6BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T12:40:48.536615Z","bundle_sha256":"6014b7c33e18dd3fce2401ebd3917d2130067c48b9bad899286d5a020a4a9438"}}