{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:SIXXETTTEWPHCBXOVNVBIGA6OM","short_pith_number":"pith:SIXXETTT","canonical_record":{"source":{"id":"1109.6587","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-09-29T16:47:50Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ebbd16473259d1c437b01ca75d8b0c5c2b2743b82e07ee672a96b68bf03de49a","abstract_canon_sha256":"ffa909b1679abb62fe2dc29778d6ced405ce8fd6af51438e4eca1b53fec6b406"},"schema_version":"1.0"},"canonical_sha256":"922f724e73259e7106eeab6a14181e73140288a4b97e8155c3b87ebfdb0b4765","source":{"kind":"arxiv","id":"1109.6587","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6587","created_at":"2026-05-18T03:49:22Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6587v2","created_at":"2026-05-18T03:49:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6587","created_at":"2026-05-18T03:49:22Z"},{"alias_kind":"pith_short_12","alias_value":"SIXXETTTEWPH","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SIXXETTTEWPHCBXO","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SIXXETTT","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:SIXXETTTEWPHCBXOVNVBIGA6OM","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6587","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-09-29T16:47:50Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ebbd16473259d1c437b01ca75d8b0c5c2b2743b82e07ee672a96b68bf03de49a","abstract_canon_sha256":"ffa909b1679abb62fe2dc29778d6ced405ce8fd6af51438e4eca1b53fec6b406"},"schema_version":"1.0"},"canonical_sha256":"922f724e73259e7106eeab6a14181e73140288a4b97e8155c3b87ebfdb0b4765","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:22.188596Z","signature_b64":"3EAU9JaiHenPI0O9eZyoCc5SaLbxVrd27/5yft/eg4T+iLDCq8PvDY26lcwKtq3QmBziach9vRVRALZusUrnDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"922f724e73259e7106eeab6a14181e73140288a4b97e8155c3b87ebfdb0b4765","last_reissued_at":"2026-05-18T03:49:22.187788Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:22.187788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6587","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":"2026-05-18T03:49:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MaavJsyXybgjWGnQ1+U+Czr2890dSPITyBcx//q9MgY7ktpKE3xPtybZNBgmGZsXeily+mMs+YIljTE9Z6CtCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:23:30.553853Z"},"content_sha256":"2b36be4603efb7e39b176b46273fb3aad6dc2048e9ca2ec328532b66ba9b4cc3","schema_version":"1.0","event_id":"sha256:2b36be4603efb7e39b176b46273fb3aad6dc2048e9ca2ec328532b66ba9b4cc3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:SIXXETTTEWPHCBXOVNVBIGA6OM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Accelerated boundary integral method for multiphase flow in non-periodic geometries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.soft","authors_text":"Amit Kumar, Michael D. Graham","submitted_at":"2011-09-29T16:47:50Z","abstract_excerpt":"An accelerated boundary integral method for Stokes flow of a suspension of deformable particles is presented for an arbitrary domain and implemented for the important case of a planar slit geometry. The computational complexity of the algorithm scales as O(N) or $O(N\\log N$), where $N$ is proportional to the product of number of particles and the number of elements employed to discretize the particle. This technique is enabled by the use of an alternative boundary integral formulation in which the velocity field is expressed in terms of a single layer integral alone, even in problems with non-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6587","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":"2026-05-18T03:49:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p45DWpI9LCdbRCmEwQsf06wp1v6vxtongO7Gv5IgctoX50vVJ4msqMRMe96foGQqV8RCIHC7MmgoFRbOK0kADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:23:30.554344Z"},"content_sha256":"d2e09801db349ffa3cee5594983fed6fcd35974d4450c7181feafb9402e736c6","schema_version":"1.0","event_id":"sha256:d2e09801db349ffa3cee5594983fed6fcd35974d4450c7181feafb9402e736c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SIXXETTTEWPHCBXOVNVBIGA6OM/bundle.json","state_url":"https://pith.science/pith/SIXXETTTEWPHCBXOVNVBIGA6OM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SIXXETTTEWPHCBXOVNVBIGA6OM/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":"2026-06-02T15:23:30Z","links":{"resolver":"https://pith.science/pith/SIXXETTTEWPHCBXOVNVBIGA6OM","bundle":"https://pith.science/pith/SIXXETTTEWPHCBXOVNVBIGA6OM/bundle.json","state":"https://pith.science/pith/SIXXETTTEWPHCBXOVNVBIGA6OM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SIXXETTTEWPHCBXOVNVBIGA6OM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SIXXETTTEWPHCBXOVNVBIGA6OM","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":"ffa909b1679abb62fe2dc29778d6ced405ce8fd6af51438e4eca1b53fec6b406","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-09-29T16:47:50Z","title_canon_sha256":"ebbd16473259d1c437b01ca75d8b0c5c2b2743b82e07ee672a96b68bf03de49a"},"schema_version":"1.0","source":{"id":"1109.6587","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6587","created_at":"2026-05-18T03:49:22Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6587v2","created_at":"2026-05-18T03:49:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6587","created_at":"2026-05-18T03:49:22Z"},{"alias_kind":"pith_short_12","alias_value":"SIXXETTTEWPH","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SIXXETTTEWPHCBXO","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SIXXETTT","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:d2e09801db349ffa3cee5594983fed6fcd35974d4450c7181feafb9402e736c6","target":"graph","created_at":"2026-05-18T03:49:22Z","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":"An accelerated boundary integral method for Stokes flow of a suspension of deformable particles is presented for an arbitrary domain and implemented for the important case of a planar slit geometry. The computational complexity of the algorithm scales as O(N) or $O(N\\log N$), where $N$ is proportional to the product of number of particles and the number of elements employed to discretize the particle. This technique is enabled by the use of an alternative boundary integral formulation in which the velocity field is expressed in terms of a single layer integral alone, even in problems with non-","authors_text":"Amit Kumar, Michael D. Graham","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-09-29T16:47:50Z","title":"Accelerated boundary integral method for multiphase flow in non-periodic geometries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6587","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":"sha256:2b36be4603efb7e39b176b46273fb3aad6dc2048e9ca2ec328532b66ba9b4cc3","target":"record","created_at":"2026-05-18T03:49:22Z","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":"ffa909b1679abb62fe2dc29778d6ced405ce8fd6af51438e4eca1b53fec6b406","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-09-29T16:47:50Z","title_canon_sha256":"ebbd16473259d1c437b01ca75d8b0c5c2b2743b82e07ee672a96b68bf03de49a"},"schema_version":"1.0","source":{"id":"1109.6587","kind":"arxiv","version":2}},"canonical_sha256":"922f724e73259e7106eeab6a14181e73140288a4b97e8155c3b87ebfdb0b4765","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"922f724e73259e7106eeab6a14181e73140288a4b97e8155c3b87ebfdb0b4765","first_computed_at":"2026-05-18T03:49:22.187788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:22.187788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3EAU9JaiHenPI0O9eZyoCc5SaLbxVrd27/5yft/eg4T+iLDCq8PvDY26lcwKtq3QmBziach9vRVRALZusUrnDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:22.188596Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6587","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b36be4603efb7e39b176b46273fb3aad6dc2048e9ca2ec328532b66ba9b4cc3","sha256:d2e09801db349ffa3cee5594983fed6fcd35974d4450c7181feafb9402e736c6"],"state_sha256":"e6e64f282e81d8f7dfdb3643a8fd1d9806f9e395490e9d554cb6362765c4a60e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HSAPj1nkQRMvSssb2QvQziBJrH7QXRrBH8VYfDs8PzFC2WHdu+6J5P0Z6d9B4RweNM3QAGIWDpLxzZJsADyqBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:23:30.557204Z","bundle_sha256":"068259497789d21222fac739db9a9f813795b4f8bb0f071681dc5574b29423aa"}}