{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:BV2PJBP6SFJT4XRLNCTFDIMJDO","short_pith_number":"pith:BV2PJBP6","canonical_record":{"source":{"id":"1906.07713","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-06-18T17:53:59Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"cc0c25524eca2ec5a8cb187580b617fefc29435d661122800550856343928fc6","abstract_canon_sha256":"8b8d7aea11ae853d069c746e362843e51c9336469c81962b058ea543cd57a397"},"schema_version":"1.0"},"canonical_sha256":"0d74f485fe91533e5e2b68a651a1891ba5604ccd19e9faa019aeb6c16d3d77d4","source":{"kind":"arxiv","id":"1906.07713","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.07713","created_at":"2026-07-05T03:49:36Z"},{"alias_kind":"arxiv_version","alias_value":"1906.07713v3","created_at":"2026-07-05T03:49:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.07713","created_at":"2026-07-05T03:49:36Z"},{"alias_kind":"pith_short_12","alias_value":"BV2PJBP6SFJT","created_at":"2026-07-05T03:49:36Z"},{"alias_kind":"pith_short_16","alias_value":"BV2PJBP6SFJT4XRL","created_at":"2026-07-05T03:49:36Z"},{"alias_kind":"pith_short_8","alias_value":"BV2PJBP6","created_at":"2026-07-05T03:49:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:BV2PJBP6SFJT4XRLNCTFDIMJDO","target":"record","payload":{"canonical_record":{"source":{"id":"1906.07713","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-06-18T17:53:59Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"cc0c25524eca2ec5a8cb187580b617fefc29435d661122800550856343928fc6","abstract_canon_sha256":"8b8d7aea11ae853d069c746e362843e51c9336469c81962b058ea543cd57a397"},"schema_version":"1.0"},"canonical_sha256":"0d74f485fe91533e5e2b68a651a1891ba5604ccd19e9faa019aeb6c16d3d77d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:49:36.474014Z","signature_b64":"zG0/a1YfB0/0DMcmTdxOrr4dOrsu0DQAbVvCyaD+TVtopKyXnJlY0t9VbYnEim16KzUz9RQYO/+oOWFfh8U1Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d74f485fe91533e5e2b68a651a1891ba5604ccd19e9faa019aeb6c16d3d77d4","last_reissued_at":"2026-07-05T03:49:36.473633Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:49:36.473633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.07713","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":"2026-07-05T03:49:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ck225qA3zovpwkiSiwHtlhFzrY/ZMVFNZ4bKVPLCfh7E2ThT7J/HAkfR0b/jT2E0DE1Vd5QPxDw5pZlHVXlYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T22:21:04.554123Z"},"content_sha256":"4b5fa8a7b0798c3d2905b5c16c198529b3eff10981db6f0289c9adf77c3a07da","schema_version":"1.0","event_id":"sha256:4b5fa8a7b0798c3d2905b5c16c198529b3eff10981db6f0289c9adf77c3a07da"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:BV2PJBP6SFJT4XRLNCTFDIMJDO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An adaptive kernel-split quadrature method for parameter-dependent layer potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Anna-Karin Tornberg, Fredrik Fryklund, Ludvig af Klinteberg","submitted_at":"2019-06-18T17:53:59Z","abstract_excerpt":"Panel-based, kernel-split quadrature is currently one of the most efficient methods available for accurate evaluation of singular and nearly singular layer potentials in two dimensions. However, it can fail completely for the layer potentials belonging to the modified Helmholtz, biharmonic and Stokes equations. These equations depend on a parameter, denoted $\\alpha$, and kernel-split quadrature loses its accuracy rapidly when this parameter grows beyond a certain threshold. This paper describes an algorithm that remedies this problem, using per-target adaptive sampling of the source geometry. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.07713","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/1906.07713/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":"2026-07-05T03:49:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tmbkse3TpX0OM1FC4IIG3CAX6x2wpHvb+jSDsyqzjVtwEpE3v2q/hms7by78kSrbT5FEULkrjpEQsDQUppG4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T22:21:04.555106Z"},"content_sha256":"ae05c90b954b29e89ec7e0be3b228f81012d603d5502b4fbfd08655e284dd38b","schema_version":"1.0","event_id":"sha256:ae05c90b954b29e89ec7e0be3b228f81012d603d5502b4fbfd08655e284dd38b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BV2PJBP6SFJT4XRLNCTFDIMJDO/bundle.json","state_url":"https://pith.science/pith/BV2PJBP6SFJT4XRLNCTFDIMJDO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BV2PJBP6SFJT4XRLNCTFDIMJDO/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":"2026-08-16T22:21:04Z","links":{"resolver":"https://pith.science/pith/BV2PJBP6SFJT4XRLNCTFDIMJDO","bundle":"https://pith.science/pith/BV2PJBP6SFJT4XRLNCTFDIMJDO/bundle.json","state":"https://pith.science/pith/BV2PJBP6SFJT4XRLNCTFDIMJDO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BV2PJBP6SFJT4XRLNCTFDIMJDO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:BV2PJBP6SFJT4XRLNCTFDIMJDO","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":"8b8d7aea11ae853d069c746e362843e51c9336469c81962b058ea543cd57a397","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-06-18T17:53:59Z","title_canon_sha256":"cc0c25524eca2ec5a8cb187580b617fefc29435d661122800550856343928fc6"},"schema_version":"1.0","source":{"id":"1906.07713","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.07713","created_at":"2026-07-05T03:49:36Z"},{"alias_kind":"arxiv_version","alias_value":"1906.07713v3","created_at":"2026-07-05T03:49:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.07713","created_at":"2026-07-05T03:49:36Z"},{"alias_kind":"pith_short_12","alias_value":"BV2PJBP6SFJT","created_at":"2026-07-05T03:49:36Z"},{"alias_kind":"pith_short_16","alias_value":"BV2PJBP6SFJT4XRL","created_at":"2026-07-05T03:49:36Z"},{"alias_kind":"pith_short_8","alias_value":"BV2PJBP6","created_at":"2026-07-05T03:49:36Z"}],"graph_snapshots":[{"event_id":"sha256:ae05c90b954b29e89ec7e0be3b228f81012d603d5502b4fbfd08655e284dd38b","target":"graph","created_at":"2026-07-05T03:49:36Z","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/1906.07713/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Panel-based, kernel-split quadrature is currently one of the most efficient methods available for accurate evaluation of singular and nearly singular layer potentials in two dimensions. However, it can fail completely for the layer potentials belonging to the modified Helmholtz, biharmonic and Stokes equations. These equations depend on a parameter, denoted $\\alpha$, and kernel-split quadrature loses its accuracy rapidly when this parameter grows beyond a certain threshold. This paper describes an algorithm that remedies this problem, using per-target adaptive sampling of the source geometry. ","authors_text":"Anna-Karin Tornberg, Fredrik Fryklund, Ludvig af Klinteberg","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-06-18T17:53:59Z","title":"An adaptive kernel-split quadrature method for parameter-dependent layer potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.07713","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":"sha256:4b5fa8a7b0798c3d2905b5c16c198529b3eff10981db6f0289c9adf77c3a07da","target":"record","created_at":"2026-07-05T03:49:36Z","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":"8b8d7aea11ae853d069c746e362843e51c9336469c81962b058ea543cd57a397","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-06-18T17:53:59Z","title_canon_sha256":"cc0c25524eca2ec5a8cb187580b617fefc29435d661122800550856343928fc6"},"schema_version":"1.0","source":{"id":"1906.07713","kind":"arxiv","version":3}},"canonical_sha256":"0d74f485fe91533e5e2b68a651a1891ba5604ccd19e9faa019aeb6c16d3d77d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d74f485fe91533e5e2b68a651a1891ba5604ccd19e9faa019aeb6c16d3d77d4","first_computed_at":"2026-07-05T03:49:36.473633Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:49:36.473633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zG0/a1YfB0/0DMcmTdxOrr4dOrsu0DQAbVvCyaD+TVtopKyXnJlY0t9VbYnEim16KzUz9RQYO/+oOWFfh8U1Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:49:36.474014Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.07713","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b5fa8a7b0798c3d2905b5c16c198529b3eff10981db6f0289c9adf77c3a07da","sha256:ae05c90b954b29e89ec7e0be3b228f81012d603d5502b4fbfd08655e284dd38b"],"state_sha256":"f091acdd7b171bc950fb3bd6fe1e3833bf866a8c6f1e4c785a22f2d41d589f3b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jbU/YjN581cxbh6QOD7+tPJNnrqZfqPZrbj5csyl0AThj6nOrq94I1mRVOczVTy1YegqCUCvkPYOp3h6xWelAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T22:21:04.563859Z","bundle_sha256":"6a2b43ee93d0d01397fae20e273f23cf416a50f3efb77960a0e469396ab7b6dd"}}