{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LSPK6P3EH6DGZEPEHZMK7IXUHU","short_pith_number":"pith:LSPK6P3E","canonical_record":{"source":{"id":"2411.09331","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-14T10:25:36Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d575d39fd8740e4494c705b3422bb77b3cbbf4859a295b2e7ca97a27dd69cbc4","abstract_canon_sha256":"65cc0986a7a90883907c7b31124b865e07bd908903ea60cc54cdeeedf54aabb4"},"schema_version":"1.0"},"canonical_sha256":"5c9eaf3f643f866c91e43e58afa2f43d32f5126018f49da778046e23e2207946","source":{"kind":"arxiv","id":"2411.09331","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.09331","created_at":"2026-07-05T09:35:25Z"},{"alias_kind":"arxiv_version","alias_value":"2411.09331v1","created_at":"2026-07-05T09:35:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.09331","created_at":"2026-07-05T09:35:25Z"},{"alias_kind":"pith_short_12","alias_value":"LSPK6P3EH6DG","created_at":"2026-07-05T09:35:25Z"},{"alias_kind":"pith_short_16","alias_value":"LSPK6P3EH6DGZEPE","created_at":"2026-07-05T09:35:25Z"},{"alias_kind":"pith_short_8","alias_value":"LSPK6P3E","created_at":"2026-07-05T09:35:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LSPK6P3EH6DGZEPEHZMK7IXUHU","target":"record","payload":{"canonical_record":{"source":{"id":"2411.09331","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-14T10:25:36Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d575d39fd8740e4494c705b3422bb77b3cbbf4859a295b2e7ca97a27dd69cbc4","abstract_canon_sha256":"65cc0986a7a90883907c7b31124b865e07bd908903ea60cc54cdeeedf54aabb4"},"schema_version":"1.0"},"canonical_sha256":"5c9eaf3f643f866c91e43e58afa2f43d32f5126018f49da778046e23e2207946","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:35:25.237226Z","signature_b64":"26iG7yMIvVTt8aIJO8x7j0hP5pyoecnCvhDM+vg/JYzedPo9J8Vld7i+sduHEKQFYkRgqtLj78c+TY8jfWSvCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c9eaf3f643f866c91e43e58afa2f43d32f5126018f49da778046e23e2207946","last_reissued_at":"2026-07-05T09:35:25.236751Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:35:25.236751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.09331","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":"2026-07-05T09:35:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n+Gm7XTlxiift7j5zLdqQsN+iNTAdGL+UXHghcJa4YdLPV9OcJ0BxJ3nhpF59lc4qZ/v1Y3OysZA0LjS04f9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T14:24:03.444863Z"},"content_sha256":"0b4f81ec05ccba7df3376bb88c926a7e8e87d03da09169879d617ca3653e998e","schema_version":"1.0","event_id":"sha256:0b4f81ec05ccba7df3376bb88c926a7e8e87d03da09169879d617ca3653e998e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LSPK6P3EH6DGZEPEHZMK7IXUHU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Method to Extrapolate the Data for the Inverse Magnetisation Problem with a Planar Sample","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Dmitry Ponomarev","submitted_at":"2024-11-14T10:25:36Z","abstract_excerpt":"A particular instance of the inverse magnetisation problem is considered. It is assumed that the support of a magnetic sample (a source term in the Poisson equation in $\\mathbb{R}^3$) is contained in a bounded planar set parallel to the measurement plane. Moreover, only one component of the magnetic field is assumed to be known (measured) over the same planar region in the measurement plane. We propose a method to extrapolate the measurement data to the whole plane relying on the knowledge of the forward operator and the geometry of the problem. The method is based on the spectral decompositio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.09331","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.09331/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":"2026-07-05T09:35:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0sDxzej9o07d7eRQl41xU5+Et7M7VlvWJPpedGTec8dLfQKQZnSgBXftGzQoEZ5T/ZmL3qRA7wD/hV0LZphqDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T14:24:03.445887Z"},"content_sha256":"3ef29d37eb31cab693795300ddd146ee751892131c5fbe64eb180a2533ad1f0b","schema_version":"1.0","event_id":"sha256:3ef29d37eb31cab693795300ddd146ee751892131c5fbe64eb180a2533ad1f0b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LSPK6P3EH6DGZEPEHZMK7IXUHU/bundle.json","state_url":"https://pith.science/pith/LSPK6P3EH6DGZEPEHZMK7IXUHU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LSPK6P3EH6DGZEPEHZMK7IXUHU/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":"2026-08-04T14:24:03Z","links":{"resolver":"https://pith.science/pith/LSPK6P3EH6DGZEPEHZMK7IXUHU","bundle":"https://pith.science/pith/LSPK6P3EH6DGZEPEHZMK7IXUHU/bundle.json","state":"https://pith.science/pith/LSPK6P3EH6DGZEPEHZMK7IXUHU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LSPK6P3EH6DGZEPEHZMK7IXUHU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LSPK6P3EH6DGZEPEHZMK7IXUHU","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":"65cc0986a7a90883907c7b31124b865e07bd908903ea60cc54cdeeedf54aabb4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-14T10:25:36Z","title_canon_sha256":"d575d39fd8740e4494c705b3422bb77b3cbbf4859a295b2e7ca97a27dd69cbc4"},"schema_version":"1.0","source":{"id":"2411.09331","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.09331","created_at":"2026-07-05T09:35:25Z"},{"alias_kind":"arxiv_version","alias_value":"2411.09331v1","created_at":"2026-07-05T09:35:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.09331","created_at":"2026-07-05T09:35:25Z"},{"alias_kind":"pith_short_12","alias_value":"LSPK6P3EH6DG","created_at":"2026-07-05T09:35:25Z"},{"alias_kind":"pith_short_16","alias_value":"LSPK6P3EH6DGZEPE","created_at":"2026-07-05T09:35:25Z"},{"alias_kind":"pith_short_8","alias_value":"LSPK6P3E","created_at":"2026-07-05T09:35:25Z"}],"graph_snapshots":[{"event_id":"sha256:3ef29d37eb31cab693795300ddd146ee751892131c5fbe64eb180a2533ad1f0b","target":"graph","created_at":"2026-07-05T09:35:25Z","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/2411.09331/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A particular instance of the inverse magnetisation problem is considered. It is assumed that the support of a magnetic sample (a source term in the Poisson equation in $\\mathbb{R}^3$) is contained in a bounded planar set parallel to the measurement plane. Moreover, only one component of the magnetic field is assumed to be known (measured) over the same planar region in the measurement plane. We propose a method to extrapolate the measurement data to the whole plane relying on the knowledge of the forward operator and the geometry of the problem. The method is based on the spectral decompositio","authors_text":"Dmitry Ponomarev","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-14T10:25:36Z","title":"A Method to Extrapolate the Data for the Inverse Magnetisation Problem with a Planar Sample"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.09331","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":"sha256:0b4f81ec05ccba7df3376bb88c926a7e8e87d03da09169879d617ca3653e998e","target":"record","created_at":"2026-07-05T09:35:25Z","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":"65cc0986a7a90883907c7b31124b865e07bd908903ea60cc54cdeeedf54aabb4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-11-14T10:25:36Z","title_canon_sha256":"d575d39fd8740e4494c705b3422bb77b3cbbf4859a295b2e7ca97a27dd69cbc4"},"schema_version":"1.0","source":{"id":"2411.09331","kind":"arxiv","version":1}},"canonical_sha256":"5c9eaf3f643f866c91e43e58afa2f43d32f5126018f49da778046e23e2207946","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c9eaf3f643f866c91e43e58afa2f43d32f5126018f49da778046e23e2207946","first_computed_at":"2026-07-05T09:35:25.236751Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:35:25.236751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"26iG7yMIvVTt8aIJO8x7j0hP5pyoecnCvhDM+vg/JYzedPo9J8Vld7i+sduHEKQFYkRgqtLj78c+TY8jfWSvCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:35:25.237226Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.09331","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b4f81ec05ccba7df3376bb88c926a7e8e87d03da09169879d617ca3653e998e","sha256:3ef29d37eb31cab693795300ddd146ee751892131c5fbe64eb180a2533ad1f0b"],"state_sha256":"8dc3eae88717f8e32129218a8803657440996de67112c9021e971bc3d4e012cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QwToAboqfdgoUxSzE5IQduqgDVt0Q3teofYujG0mUcFnNkaJfE6dsxCEXiwtdwrTVJlxO7h8vcKDv8eGmrT9Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T14:24:03.460246Z","bundle_sha256":"4b1f5b093ab95f5826c7fae34e6e7b6bb34eb5dd8ea72e5afe8185767f7640b0"}}