{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:FTMORXUNFBDGGL5BBYIJOSXDJ4","short_pith_number":"pith:FTMORXUN","canonical_record":{"source":{"id":"2312.10176","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2023-12-15T19:57:15Z","cross_cats_sorted":[],"title_canon_sha256":"eaed753358ea7e236ae82c7ea1c3069b5cdf691938abde1bd39440064dadc766","abstract_canon_sha256":"567f1e0338a87a21d4fddafb3ceeedcbb0f13ec2d0bd10b62ec99cf0d7001f38"},"schema_version":"1.0"},"canonical_sha256":"2cd8e8de8d2846632fa10e10974ae34f277a8ba718b0f669c20312fd46d5c423","source":{"kind":"arxiv","id":"2312.10176","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.10176","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"arxiv_version","alias_value":"2312.10176v3","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.10176","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"pith_short_12","alias_value":"FTMORXUNFBDG","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"pith_short_16","alias_value":"FTMORXUNFBDGGL5B","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"pith_short_8","alias_value":"FTMORXUN","created_at":"2026-05-20T01:06:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:FTMORXUNFBDGGL5BBYIJOSXDJ4","target":"record","payload":{"canonical_record":{"source":{"id":"2312.10176","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2023-12-15T19:57:15Z","cross_cats_sorted":[],"title_canon_sha256":"eaed753358ea7e236ae82c7ea1c3069b5cdf691938abde1bd39440064dadc766","abstract_canon_sha256":"567f1e0338a87a21d4fddafb3ceeedcbb0f13ec2d0bd10b62ec99cf0d7001f38"},"schema_version":"1.0"},"canonical_sha256":"2cd8e8de8d2846632fa10e10974ae34f277a8ba718b0f669c20312fd46d5c423","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T01:06:02.884101Z","signature_b64":"Hwa2XALi4UO+py7QHH1qBFZvu6an1bp2y7rNFrfvHBDLEvDztWZLNUK3AvQZslvdJn/VsrTyOh2JCco4FoHWCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2cd8e8de8d2846632fa10e10974ae34f277a8ba718b0f669c20312fd46d5c423","last_reissued_at":"2026-05-20T01:06:02.883476Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T01:06:02.883476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.10176","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T01:06:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+PfRG/xWOu79ArhppW66F3Ezkgwmpdb0uwh7ZthheKGEvOClIe+UDAWP9CAd1xaa4vdnKAFf+M/a4oj583tHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:57:25.216084Z"},"content_sha256":"bce27a8f6760a648e246d4c079b4311c56650b284d96d8ae82e6e9f5605ea720","schema_version":"1.0","event_id":"sha256:bce27a8f6760a648e246d4c079b4311c56650b284d96d8ae82e6e9f5605ea720"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:FTMORXUNFBDGGL5BBYIJOSXDJ4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectral estimation for spatial point processes and random fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"David J. Murrell, Jake P. Grainger, Sofia C. Olhede, Tuomas A. Rajala","submitted_at":"2023-12-15T19:57:15Z","abstract_excerpt":"Spatial variables can be observed in many different forms, such as regularly sampled random fields (lattice data), point processes, and randomly sampled spatial processes. Joint analysis of such collections of observations is clearly desirable, but complicated by the lack of an easily implementable analysis framework. We fill this gap by providing a multitaper analysis framework using coupled discrete and continuous data tapers, combined with the discrete Fourier transform for inference. Using this set of tools is important, as it forms the backbone for practical spectral analysis. In higher d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.10176","kind":"arxiv","version":3},"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/2312.10176/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":"2026-05-20T01:06:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SAmC79FjPi3dVVNg1kGOiT9+uRJRQImRNuRQA/KIeSfVVcsc2KGNhSkVxPkidykjhxoc3Qo2jbI2bh/hrA6+Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:57:25.216489Z"},"content_sha256":"71b5a8db9c7ab442d08a18092acdcc993ef999826c654cbb97a9a4fdb8c8720f","schema_version":"1.0","event_id":"sha256:71b5a8db9c7ab442d08a18092acdcc993ef999826c654cbb97a9a4fdb8c8720f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FTMORXUNFBDGGL5BBYIJOSXDJ4/bundle.json","state_url":"https://pith.science/pith/FTMORXUNFBDGGL5BBYIJOSXDJ4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FTMORXUNFBDGGL5BBYIJOSXDJ4/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":"2026-05-27T17:57:25Z","links":{"resolver":"https://pith.science/pith/FTMORXUNFBDGGL5BBYIJOSXDJ4","bundle":"https://pith.science/pith/FTMORXUNFBDGGL5BBYIJOSXDJ4/bundle.json","state":"https://pith.science/pith/FTMORXUNFBDGGL5BBYIJOSXDJ4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FTMORXUNFBDGGL5BBYIJOSXDJ4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:FTMORXUNFBDGGL5BBYIJOSXDJ4","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":"567f1e0338a87a21d4fddafb3ceeedcbb0f13ec2d0bd10b62ec99cf0d7001f38","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2023-12-15T19:57:15Z","title_canon_sha256":"eaed753358ea7e236ae82c7ea1c3069b5cdf691938abde1bd39440064dadc766"},"schema_version":"1.0","source":{"id":"2312.10176","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.10176","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"arxiv_version","alias_value":"2312.10176v3","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.10176","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"pith_short_12","alias_value":"FTMORXUNFBDG","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"pith_short_16","alias_value":"FTMORXUNFBDGGL5B","created_at":"2026-05-20T01:06:02Z"},{"alias_kind":"pith_short_8","alias_value":"FTMORXUN","created_at":"2026-05-20T01:06:02Z"}],"graph_snapshots":[{"event_id":"sha256:71b5a8db9c7ab442d08a18092acdcc993ef999826c654cbb97a9a4fdb8c8720f","target":"graph","created_at":"2026-05-20T01:06:02Z","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/2312.10176/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Spatial variables can be observed in many different forms, such as regularly sampled random fields (lattice data), point processes, and randomly sampled spatial processes. Joint analysis of such collections of observations is clearly desirable, but complicated by the lack of an easily implementable analysis framework. We fill this gap by providing a multitaper analysis framework using coupled discrete and continuous data tapers, combined with the discrete Fourier transform for inference. Using this set of tools is important, as it forms the backbone for practical spectral analysis. In higher d","authors_text":"David J. Murrell, Jake P. Grainger, Sofia C. Olhede, Tuomas A. Rajala","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2023-12-15T19:57:15Z","title":"Spectral estimation for spatial point processes and random fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.10176","kind":"arxiv","version":3},"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:bce27a8f6760a648e246d4c079b4311c56650b284d96d8ae82e6e9f5605ea720","target":"record","created_at":"2026-05-20T01:06:02Z","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":"567f1e0338a87a21d4fddafb3ceeedcbb0f13ec2d0bd10b62ec99cf0d7001f38","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2023-12-15T19:57:15Z","title_canon_sha256":"eaed753358ea7e236ae82c7ea1c3069b5cdf691938abde1bd39440064dadc766"},"schema_version":"1.0","source":{"id":"2312.10176","kind":"arxiv","version":3}},"canonical_sha256":"2cd8e8de8d2846632fa10e10974ae34f277a8ba718b0f669c20312fd46d5c423","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2cd8e8de8d2846632fa10e10974ae34f277a8ba718b0f669c20312fd46d5c423","first_computed_at":"2026-05-20T01:06:02.883476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T01:06:02.883476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hwa2XALi4UO+py7QHH1qBFZvu6an1bp2y7rNFrfvHBDLEvDztWZLNUK3AvQZslvdJn/VsrTyOh2JCco4FoHWCw==","signature_status":"signed_v1","signed_at":"2026-05-20T01:06:02.884101Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.10176","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bce27a8f6760a648e246d4c079b4311c56650b284d96d8ae82e6e9f5605ea720","sha256:71b5a8db9c7ab442d08a18092acdcc993ef999826c654cbb97a9a4fdb8c8720f"],"state_sha256":"ac1c73bf3bdbbeec7e11b9f7722049d6db5626c083bae00cd97321ebe1f0dc22"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IyV2TDy8froy9VExP90TGrx1DgpavoqDWWRzUjiEcpwx0NBKDehkEV0Np0jj3QkEoy6R/TkUs6jjI3R+DswxDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:57:25.223044Z","bundle_sha256":"4838144aa101b5f64749b17b085ab005562b4855dd82de78e9a2b4c0498dffdd"}}