{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:KSBUPC7Y2MCIKW6NVBGWRGSOIE","short_pith_number":"pith:KSBUPC7Y","canonical_record":{"source":{"id":"2412.09399","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-12T16:05:39Z","cross_cats_sorted":[],"title_canon_sha256":"e3f22141cafd67c813b4c3e702a925a51e6f20ca01eb7a7fd5e7b0b35b15f4b9","abstract_canon_sha256":"5d6ce2f02b1e76af376054d732994b8d5dbbdbca6415987ed767409719e1fbec"},"schema_version":"1.0"},"canonical_sha256":"5483478bf8d304855bcda84d689a4e4120d969a3476057688ee6632981c45b78","source":{"kind":"arxiv","id":"2412.09399","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.09399","created_at":"2026-07-05T09:48:39Z"},{"alias_kind":"arxiv_version","alias_value":"2412.09399v2","created_at":"2026-07-05T09:48:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.09399","created_at":"2026-07-05T09:48:39Z"},{"alias_kind":"pith_short_12","alias_value":"KSBUPC7Y2MCI","created_at":"2026-07-05T09:48:39Z"},{"alias_kind":"pith_short_16","alias_value":"KSBUPC7Y2MCIKW6N","created_at":"2026-07-05T09:48:39Z"},{"alias_kind":"pith_short_8","alias_value":"KSBUPC7Y","created_at":"2026-07-05T09:48:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:KSBUPC7Y2MCIKW6NVBGWRGSOIE","target":"record","payload":{"canonical_record":{"source":{"id":"2412.09399","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-12T16:05:39Z","cross_cats_sorted":[],"title_canon_sha256":"e3f22141cafd67c813b4c3e702a925a51e6f20ca01eb7a7fd5e7b0b35b15f4b9","abstract_canon_sha256":"5d6ce2f02b1e76af376054d732994b8d5dbbdbca6415987ed767409719e1fbec"},"schema_version":"1.0"},"canonical_sha256":"5483478bf8d304855bcda84d689a4e4120d969a3476057688ee6632981c45b78","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:48:39.001243Z","signature_b64":"rLP657YtoxFsNwqkqK5bjddFmmUuEJMBbH7H+OU0ZvAs0gqBFe89xqcSb+OHIiJn/DTeD/4To+4Z12aWxLXlDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5483478bf8d304855bcda84d689a4e4120d969a3476057688ee6632981c45b78","last_reissued_at":"2026-07-05T09:48:39.000836Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:48:39.000836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.09399","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":"2026-07-05T09:48:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+L/7CYVA0iKb7SkEeCpRZ3Q2Sm685pZ4aq3wjQFpXimuYYyrmwDppLUbVsSvo/5etQupv/cdVllskYQ4jD+BCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T02:38:46.408477Z"},"content_sha256":"541ad19e0ae7f8b712a116f94a8c40b55d5ad6fb4f75bec4eb905dfb5e38625c","schema_version":"1.0","event_id":"sha256:541ad19e0ae7f8b712a116f94a8c40b55d5ad6fb4f75bec4eb905dfb5e38625c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:KSBUPC7Y2MCIKW6NVBGWRGSOIE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Geometry-Aware Message Passing Neural Network for Modeling Aerodynamics over Airfoils","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Haiyang Yu, Jacob Helwig, Shuiwang Ji, Xuan Zhang","submitted_at":"2024-12-12T16:05:39Z","abstract_excerpt":"Computational modeling of aerodynamics is a key problem in aerospace engineering, often involving flows interacting with solid objects such as airfoils. Deep surrogate models have emerged as purely data-driven approaches that learn direct mappings from simulation conditions to solutions based on either simulation or experimental data. Here, we consider modeling of incompressible flows over solid objects, wherein geometric structures are a key factor in determining aerodynamics. To effectively incorporate geometries, we propose a message passing scheme that efficiently and expressively integrat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.09399","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.09399/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":"2026-07-05T09:48:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ej9Dlgsb4DyJNJJWfabtOa/iOYNDyJ+TlopBcY/zSP1rPUZ6A/2VJrj7hadEenE9QgcBcABGR/z0DNmiedU0DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T02:38:46.408987Z"},"content_sha256":"adfb3d0630a625ac3833ae34b0ab6cbc11e49ac1bd7f9df36e7933c98264100a","schema_version":"1.0","event_id":"sha256:adfb3d0630a625ac3833ae34b0ab6cbc11e49ac1bd7f9df36e7933c98264100a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KSBUPC7Y2MCIKW6NVBGWRGSOIE/bundle.json","state_url":"https://pith.science/pith/KSBUPC7Y2MCIKW6NVBGWRGSOIE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KSBUPC7Y2MCIKW6NVBGWRGSOIE/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":"2026-08-09T02:38:46Z","links":{"resolver":"https://pith.science/pith/KSBUPC7Y2MCIKW6NVBGWRGSOIE","bundle":"https://pith.science/pith/KSBUPC7Y2MCIKW6NVBGWRGSOIE/bundle.json","state":"https://pith.science/pith/KSBUPC7Y2MCIKW6NVBGWRGSOIE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KSBUPC7Y2MCIKW6NVBGWRGSOIE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KSBUPC7Y2MCIKW6NVBGWRGSOIE","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":"5d6ce2f02b1e76af376054d732994b8d5dbbdbca6415987ed767409719e1fbec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-12T16:05:39Z","title_canon_sha256":"e3f22141cafd67c813b4c3e702a925a51e6f20ca01eb7a7fd5e7b0b35b15f4b9"},"schema_version":"1.0","source":{"id":"2412.09399","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.09399","created_at":"2026-07-05T09:48:39Z"},{"alias_kind":"arxiv_version","alias_value":"2412.09399v2","created_at":"2026-07-05T09:48:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.09399","created_at":"2026-07-05T09:48:39Z"},{"alias_kind":"pith_short_12","alias_value":"KSBUPC7Y2MCI","created_at":"2026-07-05T09:48:39Z"},{"alias_kind":"pith_short_16","alias_value":"KSBUPC7Y2MCIKW6N","created_at":"2026-07-05T09:48:39Z"},{"alias_kind":"pith_short_8","alias_value":"KSBUPC7Y","created_at":"2026-07-05T09:48:39Z"}],"graph_snapshots":[{"event_id":"sha256:adfb3d0630a625ac3833ae34b0ab6cbc11e49ac1bd7f9df36e7933c98264100a","target":"graph","created_at":"2026-07-05T09:48:39Z","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/2412.09399/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Computational modeling of aerodynamics is a key problem in aerospace engineering, often involving flows interacting with solid objects such as airfoils. Deep surrogate models have emerged as purely data-driven approaches that learn direct mappings from simulation conditions to solutions based on either simulation or experimental data. Here, we consider modeling of incompressible flows over solid objects, wherein geometric structures are a key factor in determining aerodynamics. To effectively incorporate geometries, we propose a message passing scheme that efficiently and expressively integrat","authors_text":"Haiyang Yu, Jacob Helwig, Shuiwang Ji, Xuan Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-12T16:05:39Z","title":"A Geometry-Aware Message Passing Neural Network for Modeling Aerodynamics over Airfoils"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.09399","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":"sha256:541ad19e0ae7f8b712a116f94a8c40b55d5ad6fb4f75bec4eb905dfb5e38625c","target":"record","created_at":"2026-07-05T09:48:39Z","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":"5d6ce2f02b1e76af376054d732994b8d5dbbdbca6415987ed767409719e1fbec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-12T16:05:39Z","title_canon_sha256":"e3f22141cafd67c813b4c3e702a925a51e6f20ca01eb7a7fd5e7b0b35b15f4b9"},"schema_version":"1.0","source":{"id":"2412.09399","kind":"arxiv","version":2}},"canonical_sha256":"5483478bf8d304855bcda84d689a4e4120d969a3476057688ee6632981c45b78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5483478bf8d304855bcda84d689a4e4120d969a3476057688ee6632981c45b78","first_computed_at":"2026-07-05T09:48:39.000836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:48:39.000836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rLP657YtoxFsNwqkqK5bjddFmmUuEJMBbH7H+OU0ZvAs0gqBFe89xqcSb+OHIiJn/DTeD/4To+4Z12aWxLXlDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:48:39.001243Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.09399","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:541ad19e0ae7f8b712a116f94a8c40b55d5ad6fb4f75bec4eb905dfb5e38625c","sha256:adfb3d0630a625ac3833ae34b0ab6cbc11e49ac1bd7f9df36e7933c98264100a"],"state_sha256":"6cfb80d00159d47ebeb174a187db2b07088d9067b25bec8839b2250610223fd2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hmqBMAzrq/t4R/ehMX/LZmEcF1sV/YaIld3qDZWI1dwiPCQEIy0XHpRtQ3bd2OAxr779E+ECnCj9nfwEEc+GDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T02:38:46.413955Z","bundle_sha256":"a5ea8f05b990bab82d0e0fb4d64bd1005c24739742d31992882cb0be36ef01f3"}}