{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FYABNWRFQDICERK6MY5XB56MRM","short_pith_number":"pith:FYABNWRF","canonical_record":{"source":{"id":"1612.04082","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-12-13T10:13:09Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"3a89616afb279f7c42864aab9e2f702423c146bc33a9510a1456be7e57cbc889","abstract_canon_sha256":"7e1276d0cfb739a694ee27b6c4192c130db3934b485bcee46ad20b72208fe657"},"schema_version":"1.0"},"canonical_sha256":"2e0016da2580d022455e663b70f7cc8b101523a0bb7e91f3679ad46f6ad0522a","source":{"kind":"arxiv","id":"1612.04082","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.04082","created_at":"2026-05-18T00:55:05Z"},{"alias_kind":"arxiv_version","alias_value":"1612.04082v1","created_at":"2026-05-18T00:55:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04082","created_at":"2026-05-18T00:55:05Z"},{"alias_kind":"pith_short_12","alias_value":"FYABNWRFQDIC","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FYABNWRFQDICERK6","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FYABNWRF","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FYABNWRFQDICERK6MY5XB56MRM","target":"record","payload":{"canonical_record":{"source":{"id":"1612.04082","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-12-13T10:13:09Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"3a89616afb279f7c42864aab9e2f702423c146bc33a9510a1456be7e57cbc889","abstract_canon_sha256":"7e1276d0cfb739a694ee27b6c4192c130db3934b485bcee46ad20b72208fe657"},"schema_version":"1.0"},"canonical_sha256":"2e0016da2580d022455e663b70f7cc8b101523a0bb7e91f3679ad46f6ad0522a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:05.608503Z","signature_b64":"sWyP23qTJaXHlCUFOqvG7Qs95KZ9eJy/gCJv/py9HL3Axcz5+1wrPhsDFlEDbLvaM1H1wKEJe65RyB+e1jSuCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e0016da2580d022455e663b70f7cc8b101523a0bb7e91f3679ad46f6ad0522a","last_reissued_at":"2026-05-18T00:55:05.607933Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:05.607933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.04082","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":"2026-05-18T00:55:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CUOQSkNgGueuTqULNZ9OV2bhuYJ7L+LZXBmhX/b84a/ZWwsuhultYr1mhUMw1Y3E4CiKpThP51P3DiCjD9k1DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:16:54.036304Z"},"content_sha256":"f41bd0c890e3bec71657ddb939ce28e5f1d80688c264d869f58d871066d2f7dc","schema_version":"1.0","event_id":"sha256:f41bd0c890e3bec71657ddb939ce28e5f1d80688c264d869f58d871066d2f7dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FYABNWRFQDICERK6MY5XB56MRM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"What Lies Beneath the Surface: Topological-Shape Optimization With the Kernel-Independent Fast Multipole Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"math.OC","authors_text":"Denis Zorin, Igor Ostanin, Ivan Oseledets, Ivan Tsybulin, Mikhail Litsarev","submitted_at":"2016-12-13T10:13:09Z","abstract_excerpt":"The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our approach uses iterative extraction of isosurfaces of a topological derivative. The numerical solution of the elasticity boundary value problem at every iteration is performed with the boundary element formulation and the kernel-independent fast multipole method. Providing excellent single node performance, scalable parallelization and the best available asymptotic complexity, our method is among the fastest optimization t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04082","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":"2026-05-18T00:55:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fZrSbn93QgmeQ6Yckkv2SKKl+cUvxfEWUL/I6Q4748ydEWfbbFxXtfXe68hxfVKCuR+OllmfxHVbjSMe4RmEDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:16:54.036739Z"},"content_sha256":"474039f747263235fbadd4d404333fd6e4e45c358a77ca944284d003ffec54b2","schema_version":"1.0","event_id":"sha256:474039f747263235fbadd4d404333fd6e4e45c358a77ca944284d003ffec54b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FYABNWRFQDICERK6MY5XB56MRM/bundle.json","state_url":"https://pith.science/pith/FYABNWRFQDICERK6MY5XB56MRM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FYABNWRFQDICERK6MY5XB56MRM/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":"2026-06-22T09:16:54Z","links":{"resolver":"https://pith.science/pith/FYABNWRFQDICERK6MY5XB56MRM","bundle":"https://pith.science/pith/FYABNWRFQDICERK6MY5XB56MRM/bundle.json","state":"https://pith.science/pith/FYABNWRFQDICERK6MY5XB56MRM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FYABNWRFQDICERK6MY5XB56MRM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FYABNWRFQDICERK6MY5XB56MRM","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":"7e1276d0cfb739a694ee27b6c4192c130db3934b485bcee46ad20b72208fe657","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-12-13T10:13:09Z","title_canon_sha256":"3a89616afb279f7c42864aab9e2f702423c146bc33a9510a1456be7e57cbc889"},"schema_version":"1.0","source":{"id":"1612.04082","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.04082","created_at":"2026-05-18T00:55:05Z"},{"alias_kind":"arxiv_version","alias_value":"1612.04082v1","created_at":"2026-05-18T00:55:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04082","created_at":"2026-05-18T00:55:05Z"},{"alias_kind":"pith_short_12","alias_value":"FYABNWRFQDIC","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FYABNWRFQDICERK6","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FYABNWRF","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:474039f747263235fbadd4d404333fd6e4e45c358a77ca944284d003ffec54b2","target":"graph","created_at":"2026-05-18T00:55:05Z","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":"The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our approach uses iterative extraction of isosurfaces of a topological derivative. The numerical solution of the elasticity boundary value problem at every iteration is performed with the boundary element formulation and the kernel-independent fast multipole method. Providing excellent single node performance, scalable parallelization and the best available asymptotic complexity, our method is among the fastest optimization t","authors_text":"Denis Zorin, Igor Ostanin, Ivan Oseledets, Ivan Tsybulin, Mikhail Litsarev","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-12-13T10:13:09Z","title":"What Lies Beneath the Surface: Topological-Shape Optimization With the Kernel-Independent Fast Multipole Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04082","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:f41bd0c890e3bec71657ddb939ce28e5f1d80688c264d869f58d871066d2f7dc","target":"record","created_at":"2026-05-18T00:55:05Z","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":"7e1276d0cfb739a694ee27b6c4192c130db3934b485bcee46ad20b72208fe657","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-12-13T10:13:09Z","title_canon_sha256":"3a89616afb279f7c42864aab9e2f702423c146bc33a9510a1456be7e57cbc889"},"schema_version":"1.0","source":{"id":"1612.04082","kind":"arxiv","version":1}},"canonical_sha256":"2e0016da2580d022455e663b70f7cc8b101523a0bb7e91f3679ad46f6ad0522a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e0016da2580d022455e663b70f7cc8b101523a0bb7e91f3679ad46f6ad0522a","first_computed_at":"2026-05-18T00:55:05.607933Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:05.607933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sWyP23qTJaXHlCUFOqvG7Qs95KZ9eJy/gCJv/py9HL3Axcz5+1wrPhsDFlEDbLvaM1H1wKEJe65RyB+e1jSuCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:05.608503Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.04082","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f41bd0c890e3bec71657ddb939ce28e5f1d80688c264d869f58d871066d2f7dc","sha256:474039f747263235fbadd4d404333fd6e4e45c358a77ca944284d003ffec54b2"],"state_sha256":"4d3bdd0e8d940be87129b55f03b21085ee9f59b8039e3099b093a8e5877dce92"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+ZRmRREgz67nssYAx05vwa6pI0Y0XTCJMTuiX/bH51pTZlfPyGzvEy6GlcvAykY471dAKRwrpPo7PSrB/gcxAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T09:16:54.039490Z","bundle_sha256":"73947aa4909c393e1075040fef77d06c378b2e579128c508d18a4c7ddf4cd6f2"}}