{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:LCOU7HK6BONZAXULBNRBQO54BU","short_pith_number":"pith:LCOU7HK6","canonical_record":{"source":{"id":"2504.09458","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-13T07:04:24Z","cross_cats_sorted":["cs.NA","math.AP","math.CA"],"title_canon_sha256":"0cd0e8373977d8b9a088a9564f36231c0126284d6fea10ead7868646455c4453","abstract_canon_sha256":"44f71f5f2e0cce6bf09212b23627e0df28201f10a96ae67f63e9dc32b281ec97"},"schema_version":"1.0"},"canonical_sha256":"589d4f9d5e0b9b905e8b0b62183bbc0d1b0e565a868ac22c399906454b072b5d","source":{"kind":"arxiv","id":"2504.09458","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.09458","created_at":"2026-06-05T01:15:13Z"},{"alias_kind":"arxiv_version","alias_value":"2504.09458v4","created_at":"2026-06-05T01:15:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.09458","created_at":"2026-06-05T01:15:13Z"},{"alias_kind":"pith_short_12","alias_value":"LCOU7HK6BONZ","created_at":"2026-06-05T01:15:13Z"},{"alias_kind":"pith_short_16","alias_value":"LCOU7HK6BONZAXUL","created_at":"2026-06-05T01:15:13Z"},{"alias_kind":"pith_short_8","alias_value":"LCOU7HK6","created_at":"2026-06-05T01:15:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:LCOU7HK6BONZAXULBNRBQO54BU","target":"record","payload":{"canonical_record":{"source":{"id":"2504.09458","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-13T07:04:24Z","cross_cats_sorted":["cs.NA","math.AP","math.CA"],"title_canon_sha256":"0cd0e8373977d8b9a088a9564f36231c0126284d6fea10ead7868646455c4453","abstract_canon_sha256":"44f71f5f2e0cce6bf09212b23627e0df28201f10a96ae67f63e9dc32b281ec97"},"schema_version":"1.0"},"canonical_sha256":"589d4f9d5e0b9b905e8b0b62183bbc0d1b0e565a868ac22c399906454b072b5d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-05T01:15:13.211223Z","signature_b64":"eGUSu34Spd8aOjYB8a+QAncLbpCSCDoIJPvoirLnhUB+YxwDWSl0Lkkdrb71lQ6keAlMHItTMUbH0D10TE/GCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"589d4f9d5e0b9b905e8b0b62183bbc0d1b0e565a868ac22c399906454b072b5d","last_reissued_at":"2026-06-05T01:15:13.210374Z","signature_status":"signed_v1","first_computed_at":"2026-06-05T01:15:13.210374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.09458","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-05T01:15:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y6SaLBI01xPHr2PzVELZHSjC+NxaOYj5KiWOqq+oANDiuKiIs3aENVi8cYHECU1jRWiN12uYUqheRGAXqumcBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:53:22.503112Z"},"content_sha256":"9cd887c4a2eb0118f3b402d6cc1193624e2d9aed75272b22788952cf8792d84d","schema_version":"1.0","event_id":"sha256:9cd887c4a2eb0118f3b402d6cc1193624e2d9aed75272b22788952cf8792d84d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:LCOU7HK6BONZAXULBNRBQO54BU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Whitney method of fundamental solutions with Lusin wavelets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP","math.CA"],"primary_cat":"math.NA","authors_text":"Andreas Ros\\'en, Emil Timlin, Jakob Jonsson","submitted_at":"2025-04-13T07:04:24Z","abstract_excerpt":"We establish the theoretical foundation for a variant of the method of fundamental solutions (MFS), where the source points $\\{q_j\\}_{j=1}^\\infty$ accumulate towards the domain in a Whitney fashion, meaning that their separation is proportional to the distance to the domain. We prove that the normalized Lusin wavelets $\\psi_j(w) = b_j(w-q_j)^{-2}$ constitute a generalized basis, known as a frame, for the Hardy subspace of $L_2$-traces of holomorphic functions on the domain. Consequently, our method, where $\\psi_j$ are used as basis functions in the MFS, enables a numerically stable approximati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.09458","kind":"arxiv","version":4},"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/2504.09458/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":"2026-06-05T01:15:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JcS209CSuDWtfa4ge0aSDRI7Utlqirm+DcDSAWY8kax/EVozl1X7+ddR3uYRCn580IfP8goJUW2sBGlxxCPABw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:53:22.503773Z"},"content_sha256":"5ee81f6e8dcf2bc9c41135cf362b9756e2a0bdb18102b1d70f243b7393fcb929","schema_version":"1.0","event_id":"sha256:5ee81f6e8dcf2bc9c41135cf362b9756e2a0bdb18102b1d70f243b7393fcb929"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LCOU7HK6BONZAXULBNRBQO54BU/bundle.json","state_url":"https://pith.science/pith/LCOU7HK6BONZAXULBNRBQO54BU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LCOU7HK6BONZAXULBNRBQO54BU/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":"2026-06-24T04:53:22Z","links":{"resolver":"https://pith.science/pith/LCOU7HK6BONZAXULBNRBQO54BU","bundle":"https://pith.science/pith/LCOU7HK6BONZAXULBNRBQO54BU/bundle.json","state":"https://pith.science/pith/LCOU7HK6BONZAXULBNRBQO54BU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LCOU7HK6BONZAXULBNRBQO54BU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:LCOU7HK6BONZAXULBNRBQO54BU","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":"44f71f5f2e0cce6bf09212b23627e0df28201f10a96ae67f63e9dc32b281ec97","cross_cats_sorted":["cs.NA","math.AP","math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-13T07:04:24Z","title_canon_sha256":"0cd0e8373977d8b9a088a9564f36231c0126284d6fea10ead7868646455c4453"},"schema_version":"1.0","source":{"id":"2504.09458","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.09458","created_at":"2026-06-05T01:15:13Z"},{"alias_kind":"arxiv_version","alias_value":"2504.09458v4","created_at":"2026-06-05T01:15:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.09458","created_at":"2026-06-05T01:15:13Z"},{"alias_kind":"pith_short_12","alias_value":"LCOU7HK6BONZ","created_at":"2026-06-05T01:15:13Z"},{"alias_kind":"pith_short_16","alias_value":"LCOU7HK6BONZAXUL","created_at":"2026-06-05T01:15:13Z"},{"alias_kind":"pith_short_8","alias_value":"LCOU7HK6","created_at":"2026-06-05T01:15:13Z"}],"graph_snapshots":[{"event_id":"sha256:5ee81f6e8dcf2bc9c41135cf362b9756e2a0bdb18102b1d70f243b7393fcb929","target":"graph","created_at":"2026-06-05T01:15:13Z","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/2504.09458/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish the theoretical foundation for a variant of the method of fundamental solutions (MFS), where the source points $\\{q_j\\}_{j=1}^\\infty$ accumulate towards the domain in a Whitney fashion, meaning that their separation is proportional to the distance to the domain. We prove that the normalized Lusin wavelets $\\psi_j(w) = b_j(w-q_j)^{-2}$ constitute a generalized basis, known as a frame, for the Hardy subspace of $L_2$-traces of holomorphic functions on the domain. Consequently, our method, where $\\psi_j$ are used as basis functions in the MFS, enables a numerically stable approximati","authors_text":"Andreas Ros\\'en, Emil Timlin, Jakob Jonsson","cross_cats":["cs.NA","math.AP","math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-13T07:04:24Z","title":"The Whitney method of fundamental solutions with Lusin wavelets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.09458","kind":"arxiv","version":4},"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":"sha256:9cd887c4a2eb0118f3b402d6cc1193624e2d9aed75272b22788952cf8792d84d","target":"record","created_at":"2026-06-05T01:15:13Z","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":"44f71f5f2e0cce6bf09212b23627e0df28201f10a96ae67f63e9dc32b281ec97","cross_cats_sorted":["cs.NA","math.AP","math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-13T07:04:24Z","title_canon_sha256":"0cd0e8373977d8b9a088a9564f36231c0126284d6fea10ead7868646455c4453"},"schema_version":"1.0","source":{"id":"2504.09458","kind":"arxiv","version":4}},"canonical_sha256":"589d4f9d5e0b9b905e8b0b62183bbc0d1b0e565a868ac22c399906454b072b5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"589d4f9d5e0b9b905e8b0b62183bbc0d1b0e565a868ac22c399906454b072b5d","first_computed_at":"2026-06-05T01:15:13.210374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T01:15:13.210374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eGUSu34Spd8aOjYB8a+QAncLbpCSCDoIJPvoirLnhUB+YxwDWSl0Lkkdrb71lQ6keAlMHItTMUbH0D10TE/GCg==","signature_status":"signed_v1","signed_at":"2026-06-05T01:15:13.211223Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.09458","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9cd887c4a2eb0118f3b402d6cc1193624e2d9aed75272b22788952cf8792d84d","sha256:5ee81f6e8dcf2bc9c41135cf362b9756e2a0bdb18102b1d70f243b7393fcb929"],"state_sha256":"5c0aca4b3a5b65be8e17ff5b1e1b383a41869aff885b47a6ebe57fc7bc302406"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1lIiV2R2QY0VtDTx1hhvs1lRrwRmookKW+aBauKU4HPSV/bho14X2Q1/YNgXF7P7ROwjdF/qRBMadrcp5MbACw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T04:53:22.506756Z","bundle_sha256":"8e75897fad967d9398267007419c1e43752aaf77738ca8af9adf05398a7e4225"}}