{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:WJ3LR6IBKU7FZ5KDIG3JFJ2T4T","short_pith_number":"pith:WJ3LR6IB","canonical_record":{"source":{"id":"2608.04728","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-08-05T11:49:12Z","cross_cats_sorted":[],"title_canon_sha256":"06ee8c9dd95ec50e5f7b0b12ac785d4a1dd7f1e8295b18ae9540534840b64bf3","abstract_canon_sha256":"18c3b1ff97ba39638492901c9acd97a18c8fdacabd5bbb837af76d8d92454988"},"schema_version":"1.0"},"canonical_sha256":"b276b8f901553e5cf54341b692a753e4d3e4e9197e31ffe32e6c17659e7ec219","source":{"kind":"arxiv","id":"2608.04728","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.04728","created_at":"2026-08-06T01:46:59Z"},{"alias_kind":"arxiv_version","alias_value":"2608.04728v1","created_at":"2026-08-06T01:46:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.04728","created_at":"2026-08-06T01:46:59Z"},{"alias_kind":"pith_short_12","alias_value":"WJ3LR6IBKU7F","created_at":"2026-08-06T01:46:59Z"},{"alias_kind":"pith_short_16","alias_value":"WJ3LR6IBKU7FZ5KD","created_at":"2026-08-06T01:46:59Z"},{"alias_kind":"pith_short_8","alias_value":"WJ3LR6IB","created_at":"2026-08-06T01:46:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:WJ3LR6IBKU7FZ5KDIG3JFJ2T4T","target":"record","payload":{"canonical_record":{"source":{"id":"2608.04728","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-08-05T11:49:12Z","cross_cats_sorted":[],"title_canon_sha256":"06ee8c9dd95ec50e5f7b0b12ac785d4a1dd7f1e8295b18ae9540534840b64bf3","abstract_canon_sha256":"18c3b1ff97ba39638492901c9acd97a18c8fdacabd5bbb837af76d8d92454988"},"schema_version":"1.0"},"canonical_sha256":"b276b8f901553e5cf54341b692a753e4d3e4e9197e31ffe32e6c17659e7ec219","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-06T01:46:59.235503Z","signature_b64":"xkog+Fs08cvwxoITEUkL/HQXV5IiNhqSQoaceTcZkdRX92mgyxRwedsig92wHlbNpuuYvKv7zeVzIStHmPY5DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b276b8f901553e5cf54341b692a753e4d3e4e9197e31ffe32e6c17659e7ec219","last_reissued_at":"2026-08-06T01:46:59.234007Z","signature_status":"signed_v1","first_computed_at":"2026-08-06T01:46:59.234007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.04728","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":"2026-08-06T01:46:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"66v5cxVq97YiwtJZU42TDLGlseAUEYDWYZc4SuxC5PX9g0MN6PlqLscoMT/aZt7VBfM0vnqtO4LM/l7VUG3fAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T11:12:02.102416Z"},"content_sha256":"b8561c0f3674b966b849be40c8c8cea1d0f555b2373909201d0daa1a4c79d122","schema_version":"1.0","event_id":"sha256:b8561c0f3674b966b849be40c8c8cea1d0f555b2373909201d0daa1a4c79d122"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:WJ3LR6IBKU7FZ5KDIG3JFJ2T4T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A hybrid proper orthogonal decomposition and diffusion framework for reduced-order forecasting of turbulent flow dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Manuel Lopez-Martin, Petros Koumoutsakos, Rodrigo Abadia-Heredia, Soledad Le Clainche, Xiangrui Zou","submitted_at":"2026-08-05T11:49:12Z","abstract_excerpt":"Forecasting turbulent flow dynamics requires a balance between predictive fidelity and computational efficiency. Diffusion-based generative models can represent complex spatiotemporal dynamics, but their application to high-dimensional turbulent flows remains computationally expensive. In contrast, proper orthogonal decomposition (POD) provides compact, physically interpretable reduced-order representations, although aggressive modal truncation can remove relevant flow structures. This work introduces a hybrid reduced-order generative forecasting framework that combines POD with Generative Lea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.04728","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/2608.04728/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":"2026-08-06T01:46:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E8390TmrvnuUDV81WV6SFd6v6+tMJ+ErfMb6YRP2ta79Ser0jTQGkh3S2Od/M5NAeplnWOOlRaZcrhMf/AqEBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T11:12:02.103176Z"},"content_sha256":"236156718ca598f9d93e5b66a53a269522e50352fc82a766e612ff1501e71f81","schema_version":"1.0","event_id":"sha256:236156718ca598f9d93e5b66a53a269522e50352fc82a766e612ff1501e71f81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WJ3LR6IBKU7FZ5KDIG3JFJ2T4T/bundle.json","state_url":"https://pith.science/pith/WJ3LR6IBKU7FZ5KDIG3JFJ2T4T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WJ3LR6IBKU7FZ5KDIG3JFJ2T4T/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":"2026-08-08T11:12:02Z","links":{"resolver":"https://pith.science/pith/WJ3LR6IBKU7FZ5KDIG3JFJ2T4T","bundle":"https://pith.science/pith/WJ3LR6IBKU7FZ5KDIG3JFJ2T4T/bundle.json","state":"https://pith.science/pith/WJ3LR6IBKU7FZ5KDIG3JFJ2T4T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WJ3LR6IBKU7FZ5KDIG3JFJ2T4T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:WJ3LR6IBKU7FZ5KDIG3JFJ2T4T","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":"18c3b1ff97ba39638492901c9acd97a18c8fdacabd5bbb837af76d8d92454988","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-08-05T11:49:12Z","title_canon_sha256":"06ee8c9dd95ec50e5f7b0b12ac785d4a1dd7f1e8295b18ae9540534840b64bf3"},"schema_version":"1.0","source":{"id":"2608.04728","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.04728","created_at":"2026-08-06T01:46:59Z"},{"alias_kind":"arxiv_version","alias_value":"2608.04728v1","created_at":"2026-08-06T01:46:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.04728","created_at":"2026-08-06T01:46:59Z"},{"alias_kind":"pith_short_12","alias_value":"WJ3LR6IBKU7F","created_at":"2026-08-06T01:46:59Z"},{"alias_kind":"pith_short_16","alias_value":"WJ3LR6IBKU7FZ5KD","created_at":"2026-08-06T01:46:59Z"},{"alias_kind":"pith_short_8","alias_value":"WJ3LR6IB","created_at":"2026-08-06T01:46:59Z"}],"graph_snapshots":[{"event_id":"sha256:236156718ca598f9d93e5b66a53a269522e50352fc82a766e612ff1501e71f81","target":"graph","created_at":"2026-08-06T01:46:59Z","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/2608.04728/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Forecasting turbulent flow dynamics requires a balance between predictive fidelity and computational efficiency. Diffusion-based generative models can represent complex spatiotemporal dynamics, but their application to high-dimensional turbulent flows remains computationally expensive. In contrast, proper orthogonal decomposition (POD) provides compact, physically interpretable reduced-order representations, although aggressive modal truncation can remove relevant flow structures. This work introduces a hybrid reduced-order generative forecasting framework that combines POD with Generative Lea","authors_text":"Manuel Lopez-Martin, Petros Koumoutsakos, Rodrigo Abadia-Heredia, Soledad Le Clainche, Xiangrui Zou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-08-05T11:49:12Z","title":"A hybrid proper orthogonal decomposition and diffusion framework for reduced-order forecasting of turbulent flow dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.04728","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:b8561c0f3674b966b849be40c8c8cea1d0f555b2373909201d0daa1a4c79d122","target":"record","created_at":"2026-08-06T01:46:59Z","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":"18c3b1ff97ba39638492901c9acd97a18c8fdacabd5bbb837af76d8d92454988","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-08-05T11:49:12Z","title_canon_sha256":"06ee8c9dd95ec50e5f7b0b12ac785d4a1dd7f1e8295b18ae9540534840b64bf3"},"schema_version":"1.0","source":{"id":"2608.04728","kind":"arxiv","version":1}},"canonical_sha256":"b276b8f901553e5cf54341b692a753e4d3e4e9197e31ffe32e6c17659e7ec219","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b276b8f901553e5cf54341b692a753e4d3e4e9197e31ffe32e6c17659e7ec219","first_computed_at":"2026-08-06T01:46:59.234007Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-06T01:46:59.234007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xkog+Fs08cvwxoITEUkL/HQXV5IiNhqSQoaceTcZkdRX92mgyxRwedsig92wHlbNpuuYvKv7zeVzIStHmPY5DA==","signature_status":"signed_v1","signed_at":"2026-08-06T01:46:59.235503Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.04728","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8561c0f3674b966b849be40c8c8cea1d0f555b2373909201d0daa1a4c79d122","sha256:236156718ca598f9d93e5b66a53a269522e50352fc82a766e612ff1501e71f81"],"state_sha256":"a7451b1da98cc3903b053af320d69c448cfb1a8b386bb3762c6cda4e5466f926"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GQQ8+KclHD7+qnZRxqLKdrj4ZJECxp1IC72hqyyBloEcWuiPVfUN5cLqP0ONMf9FqJF4+GXuvNAxPCdK7yAjAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T11:12:02.109219Z","bundle_sha256":"ddfd40ecd623fedeb8d4a91c8431f0be791cc3971eb40e1ab7bfa3df069f78e6"}}