{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VOL6RWFEOEOU3VXCP7XWBK4VCB","short_pith_number":"pith:VOL6RWFE","canonical_record":{"source":{"id":"1709.07469","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-21T18:17:20Z","cross_cats_sorted":[],"title_canon_sha256":"5cb7e70567c154e0a713c1f4e1b0092f0cc03420bdc23dd802c71f986832428a","abstract_canon_sha256":"41055d5e63648ea56cee4265ab30f4096a477054241e8f1eb7c22f24700a584a"},"schema_version":"1.0"},"canonical_sha256":"ab97e8d8a4711d4dd6e27fef60ab951055ddfa47b9c8d7ff45ccf78788aeab55","source":{"kind":"arxiv","id":"1709.07469","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.07469","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"arxiv_version","alias_value":"1709.07469v1","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07469","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"pith_short_12","alias_value":"VOL6RWFEOEOU","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VOL6RWFEOEOU3VXC","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VOL6RWFE","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VOL6RWFEOEOU3VXCP7XWBK4VCB","target":"record","payload":{"canonical_record":{"source":{"id":"1709.07469","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-21T18:17:20Z","cross_cats_sorted":[],"title_canon_sha256":"5cb7e70567c154e0a713c1f4e1b0092f0cc03420bdc23dd802c71f986832428a","abstract_canon_sha256":"41055d5e63648ea56cee4265ab30f4096a477054241e8f1eb7c22f24700a584a"},"schema_version":"1.0"},"canonical_sha256":"ab97e8d8a4711d4dd6e27fef60ab951055ddfa47b9c8d7ff45ccf78788aeab55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:35.738886Z","signature_b64":"FX+lfyZLAhGuYvMRXXCuE5rBEa6PbEG/fdJ2NVB5RKMrI/JAe91QfaZ/160VNe297njcf35+8Y/sODOkfKffBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab97e8d8a4711d4dd6e27fef60ab951055ddfa47b9c8d7ff45ccf78788aeab55","last_reissued_at":"2026-05-18T00:34:35.738272Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:35.738272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.07469","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":"2026-05-18T00:34:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZUIvpl3sbZIzQboMY+94LIzLMT+ddHz7B5ClOqCDfYrCeJVVphl+dLYUk7HbwBRaDkiz+j8aHWUkUZkDoM2YAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:04:02.303371Z"},"content_sha256":"75e90c74fff74eecf26d2937da88283853633fb3b834c1f62ea073019f75a8f8","schema_version":"1.0","event_id":"sha256:75e90c74fff74eecf26d2937da88283853633fb3b834c1f62ea073019f75a8f8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VOL6RWFEOEOU3VXCP7XWBK4VCB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Massively parallel stochastic solution of the geophysical gravity problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alexander Bihlo, Colin G. Farquharson, Fabrizio Donzelli, Mauricio Kischinhevsky","submitted_at":"2017-09-21T18:17:20Z","abstract_excerpt":"In this paper, we report the advantages of using a stochastic algorithm in the context of mineral exploration based on gravity measurements. This approach has the advantage over deterministic methods in that it allows one to find the solution of the Poisson equation in specified, isolated points without the need of meshing the computational domain and solving the Poisson equation over the entire domain. Moreover, the stochastic approach is embarrassingly parallelizable and therefore suitable for an implementation on multi-core compute clusters with or without GPUs. Benchmark tests are carried "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07469","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":""},"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":"2026-05-18T00:34:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HqpSzDv3AOI1AAtLnagZhWsXZH/T+wkgJpJ4+BCGGKyMpljEPJHPkTgyt+sBj8ozz0Wnl3zdEGN5LTLVJesOCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:04:02.303748Z"},"content_sha256":"a1a58453ac14f2a07a516628b5a8d385264430eedfc38b81d7cc8f1ab4813a09","schema_version":"1.0","event_id":"sha256:a1a58453ac14f2a07a516628b5a8d385264430eedfc38b81d7cc8f1ab4813a09"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VOL6RWFEOEOU3VXCP7XWBK4VCB/bundle.json","state_url":"https://pith.science/pith/VOL6RWFEOEOU3VXCP7XWBK4VCB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VOL6RWFEOEOU3VXCP7XWBK4VCB/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":"2026-06-23T15:04:02Z","links":{"resolver":"https://pith.science/pith/VOL6RWFEOEOU3VXCP7XWBK4VCB","bundle":"https://pith.science/pith/VOL6RWFEOEOU3VXCP7XWBK4VCB/bundle.json","state":"https://pith.science/pith/VOL6RWFEOEOU3VXCP7XWBK4VCB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VOL6RWFEOEOU3VXCP7XWBK4VCB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VOL6RWFEOEOU3VXCP7XWBK4VCB","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":"41055d5e63648ea56cee4265ab30f4096a477054241e8f1eb7c22f24700a584a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-21T18:17:20Z","title_canon_sha256":"5cb7e70567c154e0a713c1f4e1b0092f0cc03420bdc23dd802c71f986832428a"},"schema_version":"1.0","source":{"id":"1709.07469","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.07469","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"arxiv_version","alias_value":"1709.07469v1","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07469","created_at":"2026-05-18T00:34:35Z"},{"alias_kind":"pith_short_12","alias_value":"VOL6RWFEOEOU","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VOL6RWFEOEOU3VXC","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VOL6RWFE","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:a1a58453ac14f2a07a516628b5a8d385264430eedfc38b81d7cc8f1ab4813a09","target":"graph","created_at":"2026-05-18T00:34:35Z","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":"In this paper, we report the advantages of using a stochastic algorithm in the context of mineral exploration based on gravity measurements. This approach has the advantage over deterministic methods in that it allows one to find the solution of the Poisson equation in specified, isolated points without the need of meshing the computational domain and solving the Poisson equation over the entire domain. Moreover, the stochastic approach is embarrassingly parallelizable and therefore suitable for an implementation on multi-core compute clusters with or without GPUs. Benchmark tests are carried ","authors_text":"Alexander Bihlo, Colin G. Farquharson, Fabrizio Donzelli, Mauricio Kischinhevsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-21T18:17:20Z","title":"Massively parallel stochastic solution of the geophysical gravity problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07469","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":"sha256:75e90c74fff74eecf26d2937da88283853633fb3b834c1f62ea073019f75a8f8","target":"record","created_at":"2026-05-18T00:34:35Z","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":"41055d5e63648ea56cee4265ab30f4096a477054241e8f1eb7c22f24700a584a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-09-21T18:17:20Z","title_canon_sha256":"5cb7e70567c154e0a713c1f4e1b0092f0cc03420bdc23dd802c71f986832428a"},"schema_version":"1.0","source":{"id":"1709.07469","kind":"arxiv","version":1}},"canonical_sha256":"ab97e8d8a4711d4dd6e27fef60ab951055ddfa47b9c8d7ff45ccf78788aeab55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab97e8d8a4711d4dd6e27fef60ab951055ddfa47b9c8d7ff45ccf78788aeab55","first_computed_at":"2026-05-18T00:34:35.738272Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:35.738272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FX+lfyZLAhGuYvMRXXCuE5rBEa6PbEG/fdJ2NVB5RKMrI/JAe91QfaZ/160VNe297njcf35+8Y/sODOkfKffBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:35.738886Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.07469","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75e90c74fff74eecf26d2937da88283853633fb3b834c1f62ea073019f75a8f8","sha256:a1a58453ac14f2a07a516628b5a8d385264430eedfc38b81d7cc8f1ab4813a09"],"state_sha256":"b6cd6278bc4757e12c6cebdbe1a6f63de0c18362abba2960c6e9c057649bfef7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ReViACmYBOz2fsYOTYdGKXdgcqVYvbFCQ56c+CUqkczCKbaW6IHdBwaW55/BgaOAeZZ9otdb3DOh0T4pORzYBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T15:04:02.305902Z","bundle_sha256":"4150bd95cda3c82852515f5b97ec4ba0cbed9fca3e73a597316fbd89e4abf7c5"}}