{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:2G36GOLEQJIE3PIQJITP5UPSEW","short_pith_number":"pith:2G36GOLE","canonical_record":{"source":{"id":"2607.11497","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-13T12:49:48Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"d856d6d0c6dd6843ab218b9dd9a652997d5f4aabbfe6b6c0c4996ed57fcbdeaa","abstract_canon_sha256":"4b400fe1147daf34de6471538cded2c5b6010c0687cbc8463256d939be34b288"},"schema_version":"1.0"},"canonical_sha256":"d1b7e3396482504dbd104a26fed1f225908abf148e7b5a62ee07d0b690e211a8","source":{"kind":"arxiv","id":"2607.11497","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.11497","created_at":"2026-07-14T02:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"2607.11497v1","created_at":"2026-07-14T02:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.11497","created_at":"2026-07-14T02:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"2G36GOLEQJIE","created_at":"2026-07-14T02:22:07Z"},{"alias_kind":"pith_short_16","alias_value":"2G36GOLEQJIE3PIQ","created_at":"2026-07-14T02:22:07Z"},{"alias_kind":"pith_short_8","alias_value":"2G36GOLE","created_at":"2026-07-14T02:22:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:2G36GOLEQJIE3PIQJITP5UPSEW","target":"record","payload":{"canonical_record":{"source":{"id":"2607.11497","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-13T12:49:48Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"d856d6d0c6dd6843ab218b9dd9a652997d5f4aabbfe6b6c0c4996ed57fcbdeaa","abstract_canon_sha256":"4b400fe1147daf34de6471538cded2c5b6010c0687cbc8463256d939be34b288"},"schema_version":"1.0"},"canonical_sha256":"d1b7e3396482504dbd104a26fed1f225908abf148e7b5a62ee07d0b690e211a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-14T02:22:07.126709Z","signature_b64":"jQtzokJHIqQOKjz5U3tIR8abi2L3YgCqQstCiuq9qjzlf6gODNOMBBpYKyTVCGm3uj9NaOXbIrKV04tmQPeGCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1b7e3396482504dbd104a26fed1f225908abf148e7b5a62ee07d0b690e211a8","last_reissued_at":"2026-07-14T02:22:07.125904Z","signature_status":"signed_v1","first_computed_at":"2026-07-14T02:22:07.125904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.11497","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":"2026-07-14T02:22:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8yBiaYSrMex6jXXl418qcbUWosF3/vUsZoZC2Mz0TkwyrwWbMY8qPI9ZJPE6Wm34P3aIsMgHeYFNLmHGpQCmBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:02:30.071365Z"},"content_sha256":"dd6e6a0aee059515531895703305fac77b44ec58c539309766e7a938e945db36","schema_version":"1.0","event_id":"sha256:dd6e6a0aee059515531895703305fac77b44ec58c539309766e7a938e945db36"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:2G36GOLEQJIE3PIQJITP5UPSEW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"IG-GAN: A Generative Adversarial Network for Aerodynamic Data Generation Based on Intrinsic Geometry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Liwei Hu, Xiaoming Zhang, Ying Yan","submitted_at":"2026-07-13T12:49:48Z","abstract_excerpt":"Existing generative models learn data distributions in flat Euclidean space. However, most data in our real world are manifolds embedded in high dimensional Euclidean space. Therefore, we propose an intrinsic-geometry-based generative adversarial network (IG-GAN) for data generation in the field of aerodynamics. The generator of the IG-GAN represents aerodynamic data as a piecewise smooth manifold constructed by B\\'ezier surfaces, and the generator tries to learn the coefficients of each B\\'ezier surface to further combine multiple B\\'ezier surfaces into a smooth manifold automatically. The di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.11497","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/2607.11497/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":"2026-07-14T02:22:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ii8UXBtTPF5ILlORXV/KoN3zWq+ypGIpaTdh7op9O244UGf5kPO81oeKA6MOe0waNkHqVSfqpjW5WrEf3WmDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:02:30.072012Z"},"content_sha256":"fc3b019dade4d5c99310c43faafa01b032e1c6f32f85ebca7dbdcc3c790552c1","schema_version":"1.0","event_id":"sha256:fc3b019dade4d5c99310c43faafa01b032e1c6f32f85ebca7dbdcc3c790552c1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2G36GOLEQJIE3PIQJITP5UPSEW/bundle.json","state_url":"https://pith.science/pith/2G36GOLEQJIE3PIQJITP5UPSEW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2G36GOLEQJIE3PIQJITP5UPSEW/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":"2026-08-05T02:02:30Z","links":{"resolver":"https://pith.science/pith/2G36GOLEQJIE3PIQJITP5UPSEW","bundle":"https://pith.science/pith/2G36GOLEQJIE3PIQJITP5UPSEW/bundle.json","state":"https://pith.science/pith/2G36GOLEQJIE3PIQJITP5UPSEW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2G36GOLEQJIE3PIQJITP5UPSEW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2G36GOLEQJIE3PIQJITP5UPSEW","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":"4b400fe1147daf34de6471538cded2c5b6010c0687cbc8463256d939be34b288","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-13T12:49:48Z","title_canon_sha256":"d856d6d0c6dd6843ab218b9dd9a652997d5f4aabbfe6b6c0c4996ed57fcbdeaa"},"schema_version":"1.0","source":{"id":"2607.11497","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.11497","created_at":"2026-07-14T02:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"2607.11497v1","created_at":"2026-07-14T02:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.11497","created_at":"2026-07-14T02:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"2G36GOLEQJIE","created_at":"2026-07-14T02:22:07Z"},{"alias_kind":"pith_short_16","alias_value":"2G36GOLEQJIE3PIQ","created_at":"2026-07-14T02:22:07Z"},{"alias_kind":"pith_short_8","alias_value":"2G36GOLE","created_at":"2026-07-14T02:22:07Z"}],"graph_snapshots":[{"event_id":"sha256:fc3b019dade4d5c99310c43faafa01b032e1c6f32f85ebca7dbdcc3c790552c1","target":"graph","created_at":"2026-07-14T02:22:07Z","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/2607.11497/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Existing generative models learn data distributions in flat Euclidean space. However, most data in our real world are manifolds embedded in high dimensional Euclidean space. Therefore, we propose an intrinsic-geometry-based generative adversarial network (IG-GAN) for data generation in the field of aerodynamics. The generator of the IG-GAN represents aerodynamic data as a piecewise smooth manifold constructed by B\\'ezier surfaces, and the generator tries to learn the coefficients of each B\\'ezier surface to further combine multiple B\\'ezier surfaces into a smooth manifold automatically. The di","authors_text":"Liwei Hu, Xiaoming Zhang, Ying Yan","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-13T12:49:48Z","title":"IG-GAN: A Generative Adversarial Network for Aerodynamic Data Generation Based on Intrinsic Geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.11497","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:dd6e6a0aee059515531895703305fac77b44ec58c539309766e7a938e945db36","target":"record","created_at":"2026-07-14T02:22:07Z","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":"4b400fe1147daf34de6471538cded2c5b6010c0687cbc8463256d939be34b288","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-13T12:49:48Z","title_canon_sha256":"d856d6d0c6dd6843ab218b9dd9a652997d5f4aabbfe6b6c0c4996ed57fcbdeaa"},"schema_version":"1.0","source":{"id":"2607.11497","kind":"arxiv","version":1}},"canonical_sha256":"d1b7e3396482504dbd104a26fed1f225908abf148e7b5a62ee07d0b690e211a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1b7e3396482504dbd104a26fed1f225908abf148e7b5a62ee07d0b690e211a8","first_computed_at":"2026-07-14T02:22:07.125904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T02:22:07.125904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jQtzokJHIqQOKjz5U3tIR8abi2L3YgCqQstCiuq9qjzlf6gODNOMBBpYKyTVCGm3uj9NaOXbIrKV04tmQPeGCg==","signature_status":"signed_v1","signed_at":"2026-07-14T02:22:07.126709Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.11497","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd6e6a0aee059515531895703305fac77b44ec58c539309766e7a938e945db36","sha256:fc3b019dade4d5c99310c43faafa01b032e1c6f32f85ebca7dbdcc3c790552c1"],"state_sha256":"845fda85b4feac2b726701cad41b44ba7278dcd2a61d7842f25cc3e3f2b86ff8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U15F4ammar7veBSR+ptb56nzqUjt+CxvhvAPVwdsIn+A5aBUvKKNGhaB6dhH9eVebuHgWv1MZSjhy0UN3iu8Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T02:02:30.075626Z","bundle_sha256":"b183a3ff39c7b0809eea95e66b7e86af30b7022c5b2ec301da574545a898dd21"}}