{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:GG7N7WUELPPUM6VBK6M7ZAV2LX","short_pith_number":"pith:GG7N7WUE","canonical_record":{"source":{"id":"1509.04634","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2015-09-15T16:42:08Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"3f38177d272e2de904f0ffb1c78a0748c5bb14cb5dd4eccf3bd7422a26e7bbfa","abstract_canon_sha256":"642db40f08389bb36025bb65eb79d806b89eb523faed21e695c9a7031123b267"},"schema_version":"1.0"},"canonical_sha256":"31bedfda845bdf467aa15799fc82ba5dd717d24de2b157bcd3e702026dc1399b","source":{"kind":"arxiv","id":"1509.04634","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.04634","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"arxiv_version","alias_value":"1509.04634v2","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.04634","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"pith_short_12","alias_value":"GG7N7WUELPPU","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GG7N7WUELPPUM6VB","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GG7N7WUE","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:GG7N7WUELPPUM6VBK6M7ZAV2LX","target":"record","payload":{"canonical_record":{"source":{"id":"1509.04634","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2015-09-15T16:42:08Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"3f38177d272e2de904f0ffb1c78a0748c5bb14cb5dd4eccf3bd7422a26e7bbfa","abstract_canon_sha256":"642db40f08389bb36025bb65eb79d806b89eb523faed21e695c9a7031123b267"},"schema_version":"1.0"},"canonical_sha256":"31bedfda845bdf467aa15799fc82ba5dd717d24de2b157bcd3e702026dc1399b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:32.615167Z","signature_b64":"asI684lI6amWYrJ9nfPDWukdVmp9G93H5r5e3uJvpZzGlKeTlhZA0XWlZVBp204qOwVmm/KO+ffqx0zuZ5shDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31bedfda845bdf467aa15799fc82ba5dd717d24de2b157bcd3e702026dc1399b","last_reissued_at":"2026-05-18T00:20:32.614714Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:32.614714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.04634","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":"2026-05-18T00:20:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Oow+EoWT1Me/G8cCE1Ggr5PTLQJ6PFLnswPFcqvFVkJ5DzsG1Qcl/XcwyUCGKuPyNIWlCeYgHhGphlu/ImBpCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:42:24.634250Z"},"content_sha256":"71bfb9621afa6fb2dc12c1a38b68a5048ffa9a52e15795b40e163aed40df0be6","schema_version":"1.0","event_id":"sha256:71bfb9621afa6fb2dc12c1a38b68a5048ffa9a52e15795b40e163aed40df0be6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:GG7N7WUELPPUM6VBK6M7ZAV2LX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modeling and interpolation of the ambient magnetic field by Gaussian processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.RO","authors_text":"Arno Solin, Manon Kok, Niklas Wahlstr\\\"om, Simo S\\\"arkk\\\"a, Thomas B. Sch\\\"on","submitted_at":"2015-09-15T16:42:08Z","abstract_excerpt":"Anomalies in the ambient magnetic field can be used as features in indoor positioning and navigation. By using Maxwell's equations, we derive and present a Bayesian non-parametric probabilistic modeling approach for interpolation and extrapolation of the magnetic field. We model the magnetic field components jointly by imposing a Gaussian process (GP) prior on the latent scalar potential of the magnetic field. By rewriting the GP model in terms of a Hilbert space representation, we circumvent the computational pitfalls associated with GP modeling and provide a computationally efficient and phy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04634","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":"2026-05-18T00:20:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SHp/wB2O2fziy24lyBUqAq2AZC+qdadvKMTTafm+C26WB/+skNGjLfWfdyjMYQiPQQLVgFvQkOm0w8qBrCpkBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:42:24.634632Z"},"content_sha256":"34ea757829ae3d448996df4942aabc9b5118dbf24127a0d02ec90cc7e3df4915","schema_version":"1.0","event_id":"sha256:34ea757829ae3d448996df4942aabc9b5118dbf24127a0d02ec90cc7e3df4915"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GG7N7WUELPPUM6VBK6M7ZAV2LX/bundle.json","state_url":"https://pith.science/pith/GG7N7WUELPPUM6VBK6M7ZAV2LX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GG7N7WUELPPUM6VBK6M7ZAV2LX/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":"2026-05-30T07:42:24Z","links":{"resolver":"https://pith.science/pith/GG7N7WUELPPUM6VBK6M7ZAV2LX","bundle":"https://pith.science/pith/GG7N7WUELPPUM6VBK6M7ZAV2LX/bundle.json","state":"https://pith.science/pith/GG7N7WUELPPUM6VBK6M7ZAV2LX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GG7N7WUELPPUM6VBK6M7ZAV2LX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GG7N7WUELPPUM6VBK6M7ZAV2LX","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":"642db40f08389bb36025bb65eb79d806b89eb523faed21e695c9a7031123b267","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2015-09-15T16:42:08Z","title_canon_sha256":"3f38177d272e2de904f0ffb1c78a0748c5bb14cb5dd4eccf3bd7422a26e7bbfa"},"schema_version":"1.0","source":{"id":"1509.04634","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.04634","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"arxiv_version","alias_value":"1509.04634v2","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.04634","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"pith_short_12","alias_value":"GG7N7WUELPPU","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GG7N7WUELPPUM6VB","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GG7N7WUE","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:34ea757829ae3d448996df4942aabc9b5118dbf24127a0d02ec90cc7e3df4915","target":"graph","created_at":"2026-05-18T00:20:32Z","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":"Anomalies in the ambient magnetic field can be used as features in indoor positioning and navigation. By using Maxwell's equations, we derive and present a Bayesian non-parametric probabilistic modeling approach for interpolation and extrapolation of the magnetic field. We model the magnetic field components jointly by imposing a Gaussian process (GP) prior on the latent scalar potential of the magnetic field. By rewriting the GP model in terms of a Hilbert space representation, we circumvent the computational pitfalls associated with GP modeling and provide a computationally efficient and phy","authors_text":"Arno Solin, Manon Kok, Niklas Wahlstr\\\"om, Simo S\\\"arkk\\\"a, Thomas B. Sch\\\"on","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2015-09-15T16:42:08Z","title":"Modeling and interpolation of the ambient magnetic field by Gaussian processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04634","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":"sha256:71bfb9621afa6fb2dc12c1a38b68a5048ffa9a52e15795b40e163aed40df0be6","target":"record","created_at":"2026-05-18T00:20:32Z","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":"642db40f08389bb36025bb65eb79d806b89eb523faed21e695c9a7031123b267","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2015-09-15T16:42:08Z","title_canon_sha256":"3f38177d272e2de904f0ffb1c78a0748c5bb14cb5dd4eccf3bd7422a26e7bbfa"},"schema_version":"1.0","source":{"id":"1509.04634","kind":"arxiv","version":2}},"canonical_sha256":"31bedfda845bdf467aa15799fc82ba5dd717d24de2b157bcd3e702026dc1399b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31bedfda845bdf467aa15799fc82ba5dd717d24de2b157bcd3e702026dc1399b","first_computed_at":"2026-05-18T00:20:32.614714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:32.614714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"asI684lI6amWYrJ9nfPDWukdVmp9G93H5r5e3uJvpZzGlKeTlhZA0XWlZVBp204qOwVmm/KO+ffqx0zuZ5shDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:32.615167Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.04634","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71bfb9621afa6fb2dc12c1a38b68a5048ffa9a52e15795b40e163aed40df0be6","sha256:34ea757829ae3d448996df4942aabc9b5118dbf24127a0d02ec90cc7e3df4915"],"state_sha256":"cd24cca358a6fb051aaf60336a6f37af3463501525821a38cf038c6a7c28c915"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tOG+hD15XFPEE6ZcfyWKHn6C4eSNuFgAivtxmwsCbsFi9ZJZpJfpwWtoRq8IPlRvlj9mwLTs1B6bfLXPA1k/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:42:24.636683Z","bundle_sha256":"e3ea78a6d441d3383d06694653882a4001dc7a9a730f3b17bb60bb92149be5d9"}}