{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:MMXR4WCS5JADGHBDZCE4NFSTMA","short_pith_number":"pith:MMXR4WCS","canonical_record":{"source":{"id":"1404.3552","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-14T12:13:35Z","cross_cats_sorted":[],"title_canon_sha256":"c2db05badb7daab8096624794e978d1c51000bc42d45dfe55151fcb192de8131","abstract_canon_sha256":"8420fd555caef17c7b5e79499c46bcedd5fe6dcd988c79bc57600a95d8dd3303"},"schema_version":"1.0"},"canonical_sha256":"632f1e5852ea40331c23c889c696536001fea1a1cd4e2ca204c415e6c6c98f3e","source":{"kind":"arxiv","id":"1404.3552","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.3552","created_at":"2026-05-18T01:15:53Z"},{"alias_kind":"arxiv_version","alias_value":"1404.3552v1","created_at":"2026-05-18T01:15:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3552","created_at":"2026-05-18T01:15:53Z"},{"alias_kind":"pith_short_12","alias_value":"MMXR4WCS5JAD","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MMXR4WCS5JADGHBD","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MMXR4WCS","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:MMXR4WCS5JADGHBDZCE4NFSTMA","target":"record","payload":{"canonical_record":{"source":{"id":"1404.3552","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-14T12:13:35Z","cross_cats_sorted":[],"title_canon_sha256":"c2db05badb7daab8096624794e978d1c51000bc42d45dfe55151fcb192de8131","abstract_canon_sha256":"8420fd555caef17c7b5e79499c46bcedd5fe6dcd988c79bc57600a95d8dd3303"},"schema_version":"1.0"},"canonical_sha256":"632f1e5852ea40331c23c889c696536001fea1a1cd4e2ca204c415e6c6c98f3e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:53.457434Z","signature_b64":"8LbEAjfWYKqdp+CgIHCQloBf//gbaHQ2WsInajWOxzAa2KBRiPRqHhXefo2LWhUVl+zISHly2KDUJnL3VfpuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"632f1e5852ea40331c23c889c696536001fea1a1cd4e2ca204c415e6c6c98f3e","last_reissued_at":"2026-05-18T01:15:53.456930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:53.456930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.3552","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":"2026-05-18T01:15:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4mci6Ra7Yb3vZ/EaQsdSDOQMww81WaIAKuQl6ngMlByaNKw+K87damLNrduMlMEHWMh7vBS9/tFYtXVBALh6Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T22:11:51.868730Z"},"content_sha256":"1c51028c791e6c8902e8961b16b83f9ea934629c3e28a92afba2ba4498b8b14a","schema_version":"1.0","event_id":"sha256:1c51028c791e6c8902e8961b16b83f9ea934629c3e28a92afba2ba4498b8b14a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:MMXR4WCS5JADGHBDZCE4NFSTMA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An accurate integral equation method for simulating multi-phase Stokes flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Anna-Karin Tornberg, Rikard Ojala","submitted_at":"2014-04-14T12:13:35Z","abstract_excerpt":"We introduce a numerical method based on an integral equation formulation for simulating drops in viscous fluids in the plane. It builds upon the method introduced by Kropinski in 2001, but improves on it by adding an interpolatory quadrature approach for handling near-singular integrals. Such integrals typically arise when drop boundaries come close to one another, and are difficult to compute accurately using standard quadrature rules. Adapting the interpolatory quadrature method introduced by Helsing and Ojala in 2008 to the current application, very general drop configurations can be handl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3552","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":"2026-05-18T01:15:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fw4NkP51aYt1vlBELn4ZS3D+T3IV9DXFWOndMDxwLo/WplrTCzXA7iLdk2phfkxS8sezl5X2n2UCizvyUT0rBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T22:11:51.869237Z"},"content_sha256":"2acb28f3d1766568b5a56fe774dcfa1c64c6f5375a7c46a36ddddf3c71af3af9","schema_version":"1.0","event_id":"sha256:2acb28f3d1766568b5a56fe774dcfa1c64c6f5375a7c46a36ddddf3c71af3af9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MMXR4WCS5JADGHBDZCE4NFSTMA/bundle.json","state_url":"https://pith.science/pith/MMXR4WCS5JADGHBDZCE4NFSTMA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MMXR4WCS5JADGHBDZCE4NFSTMA/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":"2026-05-23T22:11:51Z","links":{"resolver":"https://pith.science/pith/MMXR4WCS5JADGHBDZCE4NFSTMA","bundle":"https://pith.science/pith/MMXR4WCS5JADGHBDZCE4NFSTMA/bundle.json","state":"https://pith.science/pith/MMXR4WCS5JADGHBDZCE4NFSTMA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MMXR4WCS5JADGHBDZCE4NFSTMA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MMXR4WCS5JADGHBDZCE4NFSTMA","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":"8420fd555caef17c7b5e79499c46bcedd5fe6dcd988c79bc57600a95d8dd3303","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-14T12:13:35Z","title_canon_sha256":"c2db05badb7daab8096624794e978d1c51000bc42d45dfe55151fcb192de8131"},"schema_version":"1.0","source":{"id":"1404.3552","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.3552","created_at":"2026-05-18T01:15:53Z"},{"alias_kind":"arxiv_version","alias_value":"1404.3552v1","created_at":"2026-05-18T01:15:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3552","created_at":"2026-05-18T01:15:53Z"},{"alias_kind":"pith_short_12","alias_value":"MMXR4WCS5JAD","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MMXR4WCS5JADGHBD","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MMXR4WCS","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:2acb28f3d1766568b5a56fe774dcfa1c64c6f5375a7c46a36ddddf3c71af3af9","target":"graph","created_at":"2026-05-18T01:15:53Z","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":"We introduce a numerical method based on an integral equation formulation for simulating drops in viscous fluids in the plane. It builds upon the method introduced by Kropinski in 2001, but improves on it by adding an interpolatory quadrature approach for handling near-singular integrals. Such integrals typically arise when drop boundaries come close to one another, and are difficult to compute accurately using standard quadrature rules. Adapting the interpolatory quadrature method introduced by Helsing and Ojala in 2008 to the current application, very general drop configurations can be handl","authors_text":"Anna-Karin Tornberg, Rikard Ojala","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-14T12:13:35Z","title":"An accurate integral equation method for simulating multi-phase Stokes flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3552","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":"sha256:1c51028c791e6c8902e8961b16b83f9ea934629c3e28a92afba2ba4498b8b14a","target":"record","created_at":"2026-05-18T01:15:53Z","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":"8420fd555caef17c7b5e79499c46bcedd5fe6dcd988c79bc57600a95d8dd3303","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-04-14T12:13:35Z","title_canon_sha256":"c2db05badb7daab8096624794e978d1c51000bc42d45dfe55151fcb192de8131"},"schema_version":"1.0","source":{"id":"1404.3552","kind":"arxiv","version":1}},"canonical_sha256":"632f1e5852ea40331c23c889c696536001fea1a1cd4e2ca204c415e6c6c98f3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"632f1e5852ea40331c23c889c696536001fea1a1cd4e2ca204c415e6c6c98f3e","first_computed_at":"2026-05-18T01:15:53.456930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:53.456930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8LbEAjfWYKqdp+CgIHCQloBf//gbaHQ2WsInajWOxzAa2KBRiPRqHhXefo2LWhUVl+zISHly2KDUJnL3VfpuDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:53.457434Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.3552","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c51028c791e6c8902e8961b16b83f9ea934629c3e28a92afba2ba4498b8b14a","sha256:2acb28f3d1766568b5a56fe774dcfa1c64c6f5375a7c46a36ddddf3c71af3af9"],"state_sha256":"db6b2bdd471f863645b377c3bf97f27b2260310e743568b6fedf9835b2ec647a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8KK7Lz9r+Bn7uEyjQzqmxTVuP1eiQ9SJWFQARX2UJXoDRK98aKEKz+Jd1qbVGeXs6P3h60pJkMUIwJvG0yoVAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T22:11:51.872506Z","bundle_sha256":"aa8b91b8a6fd1fdaa1d6d8151e0ef70786986d09551b1d3af23778f851920a2b"}}