{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:S54XIWFOSCPCQLP7PJ7TC3PLOO","short_pith_number":"pith:S54XIWFO","canonical_record":{"source":{"id":"2102.10852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2021-02-22T09:34:30Z","cross_cats_sorted":[],"title_canon_sha256":"cb8bd189be9dac920b5134076db2cef788984eb3a3ee2788bc00b918f94fa998","abstract_canon_sha256":"5bca946fc238377e34aa9cc71c0df9b089d7e622c7db3a4da629b37ce335a931"},"schema_version":"1.0"},"canonical_sha256":"97797458ae909e282dff7a7f316deb738e3f559f697f85e41fdb5dc2e2cda41d","source":{"kind":"arxiv","id":"2102.10852","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.10852","created_at":"2026-07-05T02:17:02Z"},{"alias_kind":"arxiv_version","alias_value":"2102.10852v1","created_at":"2026-07-05T02:17:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.10852","created_at":"2026-07-05T02:17:02Z"},{"alias_kind":"pith_short_12","alias_value":"S54XIWFOSCPC","created_at":"2026-07-05T02:17:02Z"},{"alias_kind":"pith_short_16","alias_value":"S54XIWFOSCPCQLP7","created_at":"2026-07-05T02:17:02Z"},{"alias_kind":"pith_short_8","alias_value":"S54XIWFO","created_at":"2026-07-05T02:17:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:S54XIWFOSCPCQLP7PJ7TC3PLOO","target":"record","payload":{"canonical_record":{"source":{"id":"2102.10852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2021-02-22T09:34:30Z","cross_cats_sorted":[],"title_canon_sha256":"cb8bd189be9dac920b5134076db2cef788984eb3a3ee2788bc00b918f94fa998","abstract_canon_sha256":"5bca946fc238377e34aa9cc71c0df9b089d7e622c7db3a4da629b37ce335a931"},"schema_version":"1.0"},"canonical_sha256":"97797458ae909e282dff7a7f316deb738e3f559f697f85e41fdb5dc2e2cda41d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:17:02.132855Z","signature_b64":"Nqaikq1k3RRfObGub8tZ2p+mrETe1hQvP9l9FfY0jihQZEJGN8mrsGYdZqhiw8UduJDGEgH3GuOtE04yNxuOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97797458ae909e282dff7a7f316deb738e3f559f697f85e41fdb5dc2e2cda41d","last_reissued_at":"2026-07-05T02:17:02.132477Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:17:02.132477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2102.10852","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":"2026-07-05T02:17:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9Q5sH2EKzKt2jKNlukbJvBprUvhLkTYBKyEDGLSaAkgj/m+lm/v/t6WrWoB3ZDV4fCyphx+z5TfKwdfKcAvQAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T13:02:07.549467Z"},"content_sha256":"c4a3fd2c799450433c64b68bf54e973a57d1b2ee82e6da5accde810ced0ab432","schema_version":"1.0","event_id":"sha256:c4a3fd2c799450433c64b68bf54e973a57d1b2ee82e6da5accde810ced0ab432"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:S54XIWFOSCPCQLP7PJ7TC3PLOO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Space mapping-based optimization with the macroscopic limit of interacting particle systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Claudia Totzeck, Jennifer Wei{\\ss}en, Simone G\\\"ottlich","submitted_at":"2021-02-22T09:34:30Z","abstract_excerpt":"We propose a space mapping-based optimization algorithm for microscopic interacting particle dynamics which are inappropriate for direct optimization. This is of relevance for example in applications with bounded domains such that the microscopic optimization is difficult. The space mapping algorithm exploits the relationship of the microscopic description of the interacting particle system and the corresponding macroscopic description as partial differential equation in the \"many particle limit\". We validate the approach with the help of a toy problem that allows for direct optimization. Then"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.10852","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2102.10852/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:17:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lkTqrsv4FG6juszKRcyEkX+di28U24Jn/oWsXt1V58BBt3pc5juoPIvnUR2FzQCEbLQ6e0WldSP2LQX5GyahCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T13:02:07.550022Z"},"content_sha256":"f7d401a45907fc9c189a1fcfd0cd3c3a2de847eb6a9cc57dbc6a8ee00cdaa946","schema_version":"1.0","event_id":"sha256:f7d401a45907fc9c189a1fcfd0cd3c3a2de847eb6a9cc57dbc6a8ee00cdaa946"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S54XIWFOSCPCQLP7PJ7TC3PLOO/bundle.json","state_url":"https://pith.science/pith/S54XIWFOSCPCQLP7PJ7TC3PLOO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S54XIWFOSCPCQLP7PJ7TC3PLOO/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":"2026-08-23T13:02:07Z","links":{"resolver":"https://pith.science/pith/S54XIWFOSCPCQLP7PJ7TC3PLOO","bundle":"https://pith.science/pith/S54XIWFOSCPCQLP7PJ7TC3PLOO/bundle.json","state":"https://pith.science/pith/S54XIWFOSCPCQLP7PJ7TC3PLOO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S54XIWFOSCPCQLP7PJ7TC3PLOO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:S54XIWFOSCPCQLP7PJ7TC3PLOO","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":"5bca946fc238377e34aa9cc71c0df9b089d7e622c7db3a4da629b37ce335a931","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2021-02-22T09:34:30Z","title_canon_sha256":"cb8bd189be9dac920b5134076db2cef788984eb3a3ee2788bc00b918f94fa998"},"schema_version":"1.0","source":{"id":"2102.10852","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.10852","created_at":"2026-07-05T02:17:02Z"},{"alias_kind":"arxiv_version","alias_value":"2102.10852v1","created_at":"2026-07-05T02:17:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.10852","created_at":"2026-07-05T02:17:02Z"},{"alias_kind":"pith_short_12","alias_value":"S54XIWFOSCPC","created_at":"2026-07-05T02:17:02Z"},{"alias_kind":"pith_short_16","alias_value":"S54XIWFOSCPCQLP7","created_at":"2026-07-05T02:17:02Z"},{"alias_kind":"pith_short_8","alias_value":"S54XIWFO","created_at":"2026-07-05T02:17:02Z"}],"graph_snapshots":[{"event_id":"sha256:f7d401a45907fc9c189a1fcfd0cd3c3a2de847eb6a9cc57dbc6a8ee00cdaa946","target":"graph","created_at":"2026-07-05T02:17:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2102.10852/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a space mapping-based optimization algorithm for microscopic interacting particle dynamics which are inappropriate for direct optimization. This is of relevance for example in applications with bounded domains such that the microscopic optimization is difficult. The space mapping algorithm exploits the relationship of the microscopic description of the interacting particle system and the corresponding macroscopic description as partial differential equation in the \"many particle limit\". We validate the approach with the help of a toy problem that allows for direct optimization. Then","authors_text":"Claudia Totzeck, Jennifer Wei{\\ss}en, Simone G\\\"ottlich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2021-02-22T09:34:30Z","title":"Space mapping-based optimization with the macroscopic limit of interacting particle systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.10852","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:c4a3fd2c799450433c64b68bf54e973a57d1b2ee82e6da5accde810ced0ab432","target":"record","created_at":"2026-07-05T02:17:02Z","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":"5bca946fc238377e34aa9cc71c0df9b089d7e622c7db3a4da629b37ce335a931","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2021-02-22T09:34:30Z","title_canon_sha256":"cb8bd189be9dac920b5134076db2cef788984eb3a3ee2788bc00b918f94fa998"},"schema_version":"1.0","source":{"id":"2102.10852","kind":"arxiv","version":1}},"canonical_sha256":"97797458ae909e282dff7a7f316deb738e3f559f697f85e41fdb5dc2e2cda41d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97797458ae909e282dff7a7f316deb738e3f559f697f85e41fdb5dc2e2cda41d","first_computed_at":"2026-07-05T02:17:02.132477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:17:02.132477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nqaikq1k3RRfObGub8tZ2p+mrETe1hQvP9l9FfY0jihQZEJGN8mrsGYdZqhiw8UduJDGEgH3GuOtE04yNxuOCw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:17:02.132855Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.10852","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4a3fd2c799450433c64b68bf54e973a57d1b2ee82e6da5accde810ced0ab432","sha256:f7d401a45907fc9c189a1fcfd0cd3c3a2de847eb6a9cc57dbc6a8ee00cdaa946"],"state_sha256":"1a2f88b10fc26e5b22ec165d2c7d77ec794b949d38b5a547555fd6f283232ce2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iAVjgmYCGJzLoaNL/sQMRwSrXMEuaPz2oRUFtXOVTOrB+srU+sLmiYzHkX7amlzFJ5p0vvEzPs97qh7uYWr2Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T13:02:07.555106Z","bundle_sha256":"79902a55dc29a509e9a98374155aee40b873df548424021d3937ad7797b11d86"}}