{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:5VURWKPORFYWKQ563PCRD4EEHV","short_pith_number":"pith:5VURWKPO","canonical_record":{"source":{"id":"2606.11691","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-10T06:09:51Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"fa1b6e5e0ade0367cad50946317646de372d41c8790fade2326ef49ed911fdda","abstract_canon_sha256":"84977ca37436a661f27fcecddfcda3b243c132e1d462e312aed5db8476a3c259"},"schema_version":"1.0"},"canonical_sha256":"ed691b29ee89716543bedbc511f0843d6698c1338dd24fa93306a980a5baf7ab","source":{"kind":"arxiv","id":"2606.11691","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.11691","created_at":"2026-06-11T01:10:02Z"},{"alias_kind":"arxiv_version","alias_value":"2606.11691v1","created_at":"2026-06-11T01:10:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.11691","created_at":"2026-06-11T01:10:02Z"},{"alias_kind":"pith_short_12","alias_value":"5VURWKPORFYW","created_at":"2026-06-11T01:10:02Z"},{"alias_kind":"pith_short_16","alias_value":"5VURWKPORFYWKQ56","created_at":"2026-06-11T01:10:02Z"},{"alias_kind":"pith_short_8","alias_value":"5VURWKPO","created_at":"2026-06-11T01:10:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:5VURWKPORFYWKQ563PCRD4EEHV","target":"record","payload":{"canonical_record":{"source":{"id":"2606.11691","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-10T06:09:51Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"fa1b6e5e0ade0367cad50946317646de372d41c8790fade2326ef49ed911fdda","abstract_canon_sha256":"84977ca37436a661f27fcecddfcda3b243c132e1d462e312aed5db8476a3c259"},"schema_version":"1.0"},"canonical_sha256":"ed691b29ee89716543bedbc511f0843d6698c1338dd24fa93306a980a5baf7ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-11T01:10:02.978437Z","signature_b64":"tBCi83ImaQtVJxDKqZZ/LwqKAvCqdrHxiWn0LXxUktouBOpa62a3fNywL/XsFB95pwfjuonQyAJho0R8YrPyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed691b29ee89716543bedbc511f0843d6698c1338dd24fa93306a980a5baf7ab","last_reissued_at":"2026-06-11T01:10:02.977568Z","signature_status":"signed_v1","first_computed_at":"2026-06-11T01:10:02.977568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.11691","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":"2026-06-11T01:10:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"11R1f5to9knyLtCbOIT1vkHJ2206Qb0qCgioHS/JwMyo2h9TqxmqZNTLfxCZ+xTDN7SDTT8Hj1lX96B+mTRNCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T21:31:57.167682Z"},"content_sha256":"cd8ac36706c5cc019748ed8c325510c4856acfcf781a5f7b5dfcb94222799f5a","schema_version":"1.0","event_id":"sha256:cd8ac36706c5cc019748ed8c325510c4856acfcf781a5f7b5dfcb94222799f5a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:5VURWKPORFYWKQ563PCRD4EEHV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectrally Regularized Latent Flow Matching for Turbulence Generation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"cs.LG","authors_text":"Aditya G. Nair, Khalid Rafiq","submitted_at":"2026-06-10T06:09:51Z","abstract_excerpt":"Latent diffusion and flow matching have emerged as leading approaches for synthetic turbulence generation, yet they systematically under-represent dissipation-range amplitudes. We introduce a latent flow matching framework with a spectrally regularized compression stage that directly targets this failure mode. On a 256^2 DNS dataset at Re_f \\approx 2250, replacing an MSE-trained VAE with a zone-weighted log-spectral objective raises deep-dissipation retained spectral power from 25% to 94% in reconstruction and from 20% to 79% in unconditional generation. The improved latent representation also"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.11691","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/2606.11691/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":"2026-06-11T01:10:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gw1ls7WCTzxPM96SNhYzqfQtYl0vRrrKm+BYdSOk5iYExGjoi9lZQCXeXrrloYU7Q7U0ZIPghBsIhHcCU18OBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T21:31:57.168049Z"},"content_sha256":"ca1fc74feec9a5a16f34d98517b08b7f97436b45505b33a74b1de4fdf6858e7d","schema_version":"1.0","event_id":"sha256:ca1fc74feec9a5a16f34d98517b08b7f97436b45505b33a74b1de4fdf6858e7d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5VURWKPORFYWKQ563PCRD4EEHV/bundle.json","state_url":"https://pith.science/pith/5VURWKPORFYWKQ563PCRD4EEHV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5VURWKPORFYWKQ563PCRD4EEHV/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":"2026-06-29T21:31:57Z","links":{"resolver":"https://pith.science/pith/5VURWKPORFYWKQ563PCRD4EEHV","bundle":"https://pith.science/pith/5VURWKPORFYWKQ563PCRD4EEHV/bundle.json","state":"https://pith.science/pith/5VURWKPORFYWKQ563PCRD4EEHV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5VURWKPORFYWKQ563PCRD4EEHV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5VURWKPORFYWKQ563PCRD4EEHV","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":"84977ca37436a661f27fcecddfcda3b243c132e1d462e312aed5db8476a3c259","cross_cats_sorted":["physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-10T06:09:51Z","title_canon_sha256":"fa1b6e5e0ade0367cad50946317646de372d41c8790fade2326ef49ed911fdda"},"schema_version":"1.0","source":{"id":"2606.11691","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.11691","created_at":"2026-06-11T01:10:02Z"},{"alias_kind":"arxiv_version","alias_value":"2606.11691v1","created_at":"2026-06-11T01:10:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.11691","created_at":"2026-06-11T01:10:02Z"},{"alias_kind":"pith_short_12","alias_value":"5VURWKPORFYW","created_at":"2026-06-11T01:10:02Z"},{"alias_kind":"pith_short_16","alias_value":"5VURWKPORFYWKQ56","created_at":"2026-06-11T01:10:02Z"},{"alias_kind":"pith_short_8","alias_value":"5VURWKPO","created_at":"2026-06-11T01:10:02Z"}],"graph_snapshots":[{"event_id":"sha256:ca1fc74feec9a5a16f34d98517b08b7f97436b45505b33a74b1de4fdf6858e7d","target":"graph","created_at":"2026-06-11T01:10:02Z","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/2606.11691/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Latent diffusion and flow matching have emerged as leading approaches for synthetic turbulence generation, yet they systematically under-represent dissipation-range amplitudes. We introduce a latent flow matching framework with a spectrally regularized compression stage that directly targets this failure mode. On a 256^2 DNS dataset at Re_f \\approx 2250, replacing an MSE-trained VAE with a zone-weighted log-spectral objective raises deep-dissipation retained spectral power from 25% to 94% in reconstruction and from 20% to 79% in unconditional generation. The improved latent representation also","authors_text":"Aditya G. Nair, Khalid Rafiq","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-10T06:09:51Z","title":"Spectrally Regularized Latent Flow Matching for Turbulence Generation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.11691","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:cd8ac36706c5cc019748ed8c325510c4856acfcf781a5f7b5dfcb94222799f5a","target":"record","created_at":"2026-06-11T01:10:02Z","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":"84977ca37436a661f27fcecddfcda3b243c132e1d462e312aed5db8476a3c259","cross_cats_sorted":["physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-10T06:09:51Z","title_canon_sha256":"fa1b6e5e0ade0367cad50946317646de372d41c8790fade2326ef49ed911fdda"},"schema_version":"1.0","source":{"id":"2606.11691","kind":"arxiv","version":1}},"canonical_sha256":"ed691b29ee89716543bedbc511f0843d6698c1338dd24fa93306a980a5baf7ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed691b29ee89716543bedbc511f0843d6698c1338dd24fa93306a980a5baf7ab","first_computed_at":"2026-06-11T01:10:02.977568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-11T01:10:02.977568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tBCi83ImaQtVJxDKqZZ/LwqKAvCqdrHxiWn0LXxUktouBOpa62a3fNywL/XsFB95pwfjuonQyAJho0R8YrPyBw==","signature_status":"signed_v1","signed_at":"2026-06-11T01:10:02.978437Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.11691","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd8ac36706c5cc019748ed8c325510c4856acfcf781a5f7b5dfcb94222799f5a","sha256:ca1fc74feec9a5a16f34d98517b08b7f97436b45505b33a74b1de4fdf6858e7d"],"state_sha256":"0bb8c6156c1440f18ceb189c053863af4b20cdd02cda628c167b959486204adb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vdPdAzrHmN1DO3pLYVvJfxIMs08Dg2V6EZOzxjOfJZSWShs3OF7DN1dvMcOYVsrTT81pwAiK3SglTgLbbT04Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T21:31:57.170049Z","bundle_sha256":"8cb4b07c128ccef66e3e1af04ce0e768e0cef8c1623707bbb1520927819dc479"}}