{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:27TKDKLIHEG7RPZYROFQQX35RN","short_pith_number":"pith:27TKDKLI","canonical_record":{"source":{"id":"1707.04524","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-07-14T14:39:25Z","cross_cats_sorted":[],"title_canon_sha256":"7fc465bea4b93883c6159bd8a9df4d03ccdf737b322be7c82725d35968e86ab9","abstract_canon_sha256":"e1fdd5409d9c50169cef61469bd56898ecbb8289cd6c9d8adaea597a2bccba8c"},"schema_version":"1.0"},"canonical_sha256":"d7e6a1a968390df8bf388b8b085f7d8b77bf89f458e95c43ffd87ccba900f17a","source":{"kind":"arxiv","id":"1707.04524","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.04524","created_at":"2026-05-18T00:18:19Z"},{"alias_kind":"arxiv_version","alias_value":"1707.04524v2","created_at":"2026-05-18T00:18:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04524","created_at":"2026-05-18T00:18:19Z"},{"alias_kind":"pith_short_12","alias_value":"27TKDKLIHEG7","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"27TKDKLIHEG7RPZY","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"27TKDKLI","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:27TKDKLIHEG7RPZYROFQQX35RN","target":"record","payload":{"canonical_record":{"source":{"id":"1707.04524","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-07-14T14:39:25Z","cross_cats_sorted":[],"title_canon_sha256":"7fc465bea4b93883c6159bd8a9df4d03ccdf737b322be7c82725d35968e86ab9","abstract_canon_sha256":"e1fdd5409d9c50169cef61469bd56898ecbb8289cd6c9d8adaea597a2bccba8c"},"schema_version":"1.0"},"canonical_sha256":"d7e6a1a968390df8bf388b8b085f7d8b77bf89f458e95c43ffd87ccba900f17a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:19.837511Z","signature_b64":"6kS0xDnALMSBniOTVtXPExfJ+CuSHi4/i+5qYauN/y7rG36nt1wjJTQeD9fBkLMAuraPgjWgVk1wwz98xe93Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7e6a1a968390df8bf388b8b085f7d8b77bf89f458e95c43ffd87ccba900f17a","last_reissued_at":"2026-05-18T00:18:19.836837Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:19.836837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.04524","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":"2026-05-18T00:18:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dji6gEOkIEiqa3F7imNH7exb6iCB5SpKyR4lF2pVEp8KcoU9IXAa+coDd3K36ODXQffyrI8x+jkFMy9t4kd/AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T12:19:51.838770Z"},"content_sha256":"55994748b25384bfce18c32602849f9bd67f97cdabd80dc486a2d6dfd8b9f1a6","schema_version":"1.0","event_id":"sha256:55994748b25384bfce18c32602849f9bd67f97cdabd80dc486a2d6dfd8b9f1a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:27TKDKLIHEG7RPZYROFQQX35RN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A local target specific quadrature by expansion method for evaluation of layer potentials in 3D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Anna-Karin Tornberg, Michael Siegel","submitted_at":"2017-07-14T14:39:25Z","abstract_excerpt":"Accurate evaluation of layer potentials is crucial when boundary integral equation methods are used to solve partial differential equations. Quadrature by expansion (QBX) is a recently introduced method that can offer high accuracy for singular and nearly singular integrals, using truncated expansions to locally represent the potential. The QBX method is typically based on a spherical harmonics expansion which when truncated at order $p$ has $O(p^2)$ terms. This expansion can equivalently be written with $p$ terms, however paying the price that the expansion coefficients will depend on the eva"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04524","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":"2026-05-18T00:18:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G5dzgOVJ4U96a3ml9yMKnJFpBjOVaO3624n6qY58g4878Rf+tkHSfdwiTDzLSXCerpG+CdQVsd4jkx0SuWxjCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T12:19:51.839465Z"},"content_sha256":"750ec86a0da3498a520ad3283a4cd810f25c7e863462b6050df9d9af3bcb9b1a","schema_version":"1.0","event_id":"sha256:750ec86a0da3498a520ad3283a4cd810f25c7e863462b6050df9d9af3bcb9b1a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/27TKDKLIHEG7RPZYROFQQX35RN/bundle.json","state_url":"https://pith.science/pith/27TKDKLIHEG7RPZYROFQQX35RN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/27TKDKLIHEG7RPZYROFQQX35RN/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":"2026-05-23T12:19:51Z","links":{"resolver":"https://pith.science/pith/27TKDKLIHEG7RPZYROFQQX35RN","bundle":"https://pith.science/pith/27TKDKLIHEG7RPZYROFQQX35RN/bundle.json","state":"https://pith.science/pith/27TKDKLIHEG7RPZYROFQQX35RN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/27TKDKLIHEG7RPZYROFQQX35RN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:27TKDKLIHEG7RPZYROFQQX35RN","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":"e1fdd5409d9c50169cef61469bd56898ecbb8289cd6c9d8adaea597a2bccba8c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-07-14T14:39:25Z","title_canon_sha256":"7fc465bea4b93883c6159bd8a9df4d03ccdf737b322be7c82725d35968e86ab9"},"schema_version":"1.0","source":{"id":"1707.04524","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.04524","created_at":"2026-05-18T00:18:19Z"},{"alias_kind":"arxiv_version","alias_value":"1707.04524v2","created_at":"2026-05-18T00:18:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04524","created_at":"2026-05-18T00:18:19Z"},{"alias_kind":"pith_short_12","alias_value":"27TKDKLIHEG7","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"27TKDKLIHEG7RPZY","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"27TKDKLI","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:750ec86a0da3498a520ad3283a4cd810f25c7e863462b6050df9d9af3bcb9b1a","target":"graph","created_at":"2026-05-18T00:18:19Z","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":"Accurate evaluation of layer potentials is crucial when boundary integral equation methods are used to solve partial differential equations. Quadrature by expansion (QBX) is a recently introduced method that can offer high accuracy for singular and nearly singular integrals, using truncated expansions to locally represent the potential. The QBX method is typically based on a spherical harmonics expansion which when truncated at order $p$ has $O(p^2)$ terms. This expansion can equivalently be written with $p$ terms, however paying the price that the expansion coefficients will depend on the eva","authors_text":"Anna-Karin Tornberg, Michael Siegel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-07-14T14:39:25Z","title":"A local target specific quadrature by expansion method for evaluation of layer potentials in 3D"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04524","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":"sha256:55994748b25384bfce18c32602849f9bd67f97cdabd80dc486a2d6dfd8b9f1a6","target":"record","created_at":"2026-05-18T00:18:19Z","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":"e1fdd5409d9c50169cef61469bd56898ecbb8289cd6c9d8adaea597a2bccba8c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-07-14T14:39:25Z","title_canon_sha256":"7fc465bea4b93883c6159bd8a9df4d03ccdf737b322be7c82725d35968e86ab9"},"schema_version":"1.0","source":{"id":"1707.04524","kind":"arxiv","version":2}},"canonical_sha256":"d7e6a1a968390df8bf388b8b085f7d8b77bf89f458e95c43ffd87ccba900f17a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7e6a1a968390df8bf388b8b085f7d8b77bf89f458e95c43ffd87ccba900f17a","first_computed_at":"2026-05-18T00:18:19.836837Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:19.836837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6kS0xDnALMSBniOTVtXPExfJ+CuSHi4/i+5qYauN/y7rG36nt1wjJTQeD9fBkLMAuraPgjWgVk1wwz98xe93Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:19.837511Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.04524","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55994748b25384bfce18c32602849f9bd67f97cdabd80dc486a2d6dfd8b9f1a6","sha256:750ec86a0da3498a520ad3283a4cd810f25c7e863462b6050df9d9af3bcb9b1a"],"state_sha256":"c2093dc9d33547d441d1e1b96c638a67cfe2fb4ed0cb20d5d296bfdafd5407e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B49IlB6cJfbNg5KDneY0rJp6ihqH+oLvnEDK+0Al0v5cZleNwqacP6XvBDyhmEROGxdSGwplbIT0j/oCrSEZAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T12:19:51.843304Z","bundle_sha256":"b861fa0714de7e2d66252de36fac198d63a6928c7722417daceceb8f8c94b90a"}}