{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:LLKYMBTWFEL6VBJQF3E6MF4CSZ","short_pith_number":"pith:LLKYMBTW","canonical_record":{"source":{"id":"1807.05384","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-14T11:54:22Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"d35bccd3780d7369fe9a9c170987c58eb9c04426974b90d9af843b02e5cb995c","abstract_canon_sha256":"57544e29cfec099f33c6898d0b6bd0850a36d7a59b88f685b9e465988b332b00"},"schema_version":"1.0"},"canonical_sha256":"5ad58606762917ea85302ec9e617829658f4229531afdc22dee5b575aaf104d4","source":{"kind":"arxiv","id":"1807.05384","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05384","created_at":"2026-05-17T23:57:57Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05384v2","created_at":"2026-05-17T23:57:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05384","created_at":"2026-05-17T23:57:57Z"},{"alias_kind":"pith_short_12","alias_value":"LLKYMBTWFEL6","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LLKYMBTWFEL6VBJQ","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LLKYMBTW","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:LLKYMBTWFEL6VBJQF3E6MF4CSZ","target":"record","payload":{"canonical_record":{"source":{"id":"1807.05384","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-14T11:54:22Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"d35bccd3780d7369fe9a9c170987c58eb9c04426974b90d9af843b02e5cb995c","abstract_canon_sha256":"57544e29cfec099f33c6898d0b6bd0850a36d7a59b88f685b9e465988b332b00"},"schema_version":"1.0"},"canonical_sha256":"5ad58606762917ea85302ec9e617829658f4229531afdc22dee5b575aaf104d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:57.348245Z","signature_b64":"8BfXcOkubEoEl9iXOAWZvYE5TwFvCrE9+ff+59UqvEcrEg0r/T4Sx14hTuELLmEbPZ0pMWevH4eGqBkusfi1AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ad58606762917ea85302ec9e617829658f4229531afdc22dee5b575aaf104d4","last_reissued_at":"2026-05-17T23:57:57.347538Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:57.347538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.05384","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":"2026-05-17T23:57:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pzPPVEftjkuRsafnnoUwXRAzS7Krt5cE1uGlPiibvnpEGi/UTLE6YichXtRPcpY6gv+ovdZTD19ANUVJ6XT9Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T23:03:23.691020Z"},"content_sha256":"8a286a75054c0f830590086ab1680421d52fb428d8e54560061db5757b07c1c9","schema_version":"1.0","event_id":"sha256:8a286a75054c0f830590086ab1680421d52fb428d8e54560061db5757b07c1c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:LLKYMBTWFEL6VBJQF3E6MF4CSZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Domain Decomposition Method for the Poisson-Boltzmann Solvation Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Benjamin Stamm, Chaoyu Quan, Yvon Maday","submitted_at":"2018-07-14T11:54:22Z","abstract_excerpt":"In this paper, a domain decomposition method for the Poisson-Boltzmann (PB) solvation model that is widely used in computational chemistry is proposed. This method, called ddLPB for short, solves the linear Poisson-Boltzmann (LPB) equation defined in $\\mathbb R^3$ using the van der Waals cavity as the solute cavity. The Schwarz domain decomposition method is used to formulate local problems by decomposing the cavity into overlapping balls and only solving a set of coupled sub-equations in balls. A series of numerical experiments is presented to test the robustness and the efficiency of this me"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05384","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":"2026-05-17T23:57:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ijPhOx9bprHkHxUqfIlBv7mxhESgBxEk+0OCAvM/Xn6T30yd6T7XydlcVJglfqD/DMZQ62Y/VeFO3grQOg6lCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T23:03:23.691751Z"},"content_sha256":"17dbd6098ed19e1988148f356234cfe7059b0a032efb2650d7cb8b761c99d00a","schema_version":"1.0","event_id":"sha256:17dbd6098ed19e1988148f356234cfe7059b0a032efb2650d7cb8b761c99d00a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LLKYMBTWFEL6VBJQF3E6MF4CSZ/bundle.json","state_url":"https://pith.science/pith/LLKYMBTWFEL6VBJQF3E6MF4CSZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LLKYMBTWFEL6VBJQF3E6MF4CSZ/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":"2026-06-09T23:03:23Z","links":{"resolver":"https://pith.science/pith/LLKYMBTWFEL6VBJQF3E6MF4CSZ","bundle":"https://pith.science/pith/LLKYMBTWFEL6VBJQF3E6MF4CSZ/bundle.json","state":"https://pith.science/pith/LLKYMBTWFEL6VBJQF3E6MF4CSZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LLKYMBTWFEL6VBJQF3E6MF4CSZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LLKYMBTWFEL6VBJQF3E6MF4CSZ","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":"57544e29cfec099f33c6898d0b6bd0850a36d7a59b88f685b9e465988b332b00","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-14T11:54:22Z","title_canon_sha256":"d35bccd3780d7369fe9a9c170987c58eb9c04426974b90d9af843b02e5cb995c"},"schema_version":"1.0","source":{"id":"1807.05384","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05384","created_at":"2026-05-17T23:57:57Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05384v2","created_at":"2026-05-17T23:57:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05384","created_at":"2026-05-17T23:57:57Z"},{"alias_kind":"pith_short_12","alias_value":"LLKYMBTWFEL6","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LLKYMBTWFEL6VBJQ","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LLKYMBTW","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:17dbd6098ed19e1988148f356234cfe7059b0a032efb2650d7cb8b761c99d00a","target":"graph","created_at":"2026-05-17T23:57:57Z","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":"In this paper, a domain decomposition method for the Poisson-Boltzmann (PB) solvation model that is widely used in computational chemistry is proposed. This method, called ddLPB for short, solves the linear Poisson-Boltzmann (LPB) equation defined in $\\mathbb R^3$ using the van der Waals cavity as the solute cavity. The Schwarz domain decomposition method is used to formulate local problems by decomposing the cavity into overlapping balls and only solving a set of coupled sub-equations in balls. A series of numerical experiments is presented to test the robustness and the efficiency of this me","authors_text":"Benjamin Stamm, Chaoyu Quan, Yvon Maday","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-14T11:54:22Z","title":"A Domain Decomposition Method for the Poisson-Boltzmann Solvation Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05384","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":"sha256:8a286a75054c0f830590086ab1680421d52fb428d8e54560061db5757b07c1c9","target":"record","created_at":"2026-05-17T23:57:57Z","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":"57544e29cfec099f33c6898d0b6bd0850a36d7a59b88f685b9e465988b332b00","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-14T11:54:22Z","title_canon_sha256":"d35bccd3780d7369fe9a9c170987c58eb9c04426974b90d9af843b02e5cb995c"},"schema_version":"1.0","source":{"id":"1807.05384","kind":"arxiv","version":2}},"canonical_sha256":"5ad58606762917ea85302ec9e617829658f4229531afdc22dee5b575aaf104d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ad58606762917ea85302ec9e617829658f4229531afdc22dee5b575aaf104d4","first_computed_at":"2026-05-17T23:57:57.347538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:57.347538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8BfXcOkubEoEl9iXOAWZvYE5TwFvCrE9+ff+59UqvEcrEg0r/T4Sx14hTuELLmEbPZ0pMWevH4eGqBkusfi1AQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:57.348245Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.05384","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a286a75054c0f830590086ab1680421d52fb428d8e54560061db5757b07c1c9","sha256:17dbd6098ed19e1988148f356234cfe7059b0a032efb2650d7cb8b761c99d00a"],"state_sha256":"e0029a996a85db403aedc1f3621ee92a2e2a2027e1316fe5741e1e4058c42922"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cOPLNHXqHdsZZzeSq6153y/HtML/+U/Xg4oY9pi1TFe14dGfrbZwcxNFYzU6dNxwWqtIjDNWi21Kk46BCic9BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T23:03:23.696503Z","bundle_sha256":"21c9920fb9ab614808784388a52d2d681a71eb967c9bab7df0d25c9452b3302f"}}