{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:WAX6RLWNWE3OOR2JPRFXWE2ISU","short_pith_number":"pith:WAX6RLWN","canonical_record":{"source":{"id":"2606.29047","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CE","submitted_at":"2026-06-27T19:05:50Z","cross_cats_sorted":["cs.LG","physics.flu-dyn"],"title_canon_sha256":"ed64dfc663e0ea81063b5b3acc704f5012094f7498f63abacf30df2af8f59c4c","abstract_canon_sha256":"c47e8791214ed101c601dbaf44d7c5e9b34383d79c5786776346e3ba60a1a76c"},"schema_version":"1.0"},"canonical_sha256":"b02fe8aecdb136e747497c4b7b13489524326386098e524f4ef5fab7e5e07683","source":{"kind":"arxiv","id":"2606.29047","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.29047","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"arxiv_version","alias_value":"2606.29047v1","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.29047","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"pith_short_12","alias_value":"WAX6RLWNWE3O","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"pith_short_16","alias_value":"WAX6RLWNWE3OOR2J","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"pith_short_8","alias_value":"WAX6RLWN","created_at":"2026-06-30T01:17:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:WAX6RLWNWE3OOR2JPRFXWE2ISU","target":"record","payload":{"canonical_record":{"source":{"id":"2606.29047","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CE","submitted_at":"2026-06-27T19:05:50Z","cross_cats_sorted":["cs.LG","physics.flu-dyn"],"title_canon_sha256":"ed64dfc663e0ea81063b5b3acc704f5012094f7498f63abacf30df2af8f59c4c","abstract_canon_sha256":"c47e8791214ed101c601dbaf44d7c5e9b34383d79c5786776346e3ba60a1a76c"},"schema_version":"1.0"},"canonical_sha256":"b02fe8aecdb136e747497c4b7b13489524326386098e524f4ef5fab7e5e07683","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T01:17:50.680673Z","signature_b64":"H/2P6cFscRLUMy2jsk+9c/slF9Xc3FNtuocDqqwS9llSPAyxk9EHoTSvzBBkZ3srXYaqGED3RfNyWsVSXKzlDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b02fe8aecdb136e747497c4b7b13489524326386098e524f4ef5fab7e5e07683","last_reissued_at":"2026-06-30T01:17:50.680188Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T01:17:50.680188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.29047","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":"2026-06-30T01:17:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FFxl26bC/M6B6iLMvN6sKBn/3lTHkQSVaJr569DrdQjJBexWy8O+IlY1FIemhdRIj0b38bVbGhEiguShScGiCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:26:27.842049Z"},"content_sha256":"a6053eafba62b32a9adadc9aa875b268f5ebd6c73591d4609743c5fda4de2588","schema_version":"1.0","event_id":"sha256:a6053eafba62b32a9adadc9aa875b268f5ebd6c73591d4609743c5fda4de2588"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:WAX6RLWNWE3OOR2JPRFXWE2ISU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weak Dominant Balance for Robust Identification of Dynamically Consistent Fluid Flow Structure","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG","physics.flu-dyn"],"primary_cat":"cs.CE","authors_text":"Christian Lagemann, Esther Lagemann, H. Jane Bae, Kunihiko Taira, Ricardo Vinuesa, Samuel Ahnert, Steven L. Brunton","submitted_at":"2026-06-27T19:05:50Z","abstract_excerpt":"Extracting interpretable, localized physical mechanisms from complex spatiotemporal data is a foundational challenge across physics, biology, and engineering, but has remained out of reach on real measurements. The central obstacle is obtaining high-quality gradients of data via numerical differentiation, which amplifies noise, diverges for high-order equations, and falters on irregular geometries, limiting the scope of existing approaches to clean simulations of low-order systems. Here, we present weak dominant balance, a derivative-free framework that projects governing equations into a weak"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.29047","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/2606.29047/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":"2026-06-30T01:17:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fSUIKIcd0xRX5Ojuk2tBPPE0BSGxnoTPYEgRKJn+wUOWLBv8bhx6ZqD2K94NabcK1TvGPfDeZV8ohRsePFbYAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:26:27.842446Z"},"content_sha256":"1baa22d3375c226dec5c8d4f85147a4d043a87e5660666c70975b305c3fd32eb","schema_version":"1.0","event_id":"sha256:1baa22d3375c226dec5c8d4f85147a4d043a87e5660666c70975b305c3fd32eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WAX6RLWNWE3OOR2JPRFXWE2ISU/bundle.json","state_url":"https://pith.science/pith/WAX6RLWNWE3OOR2JPRFXWE2ISU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WAX6RLWNWE3OOR2JPRFXWE2ISU/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":"2026-07-04T19:26:27Z","links":{"resolver":"https://pith.science/pith/WAX6RLWNWE3OOR2JPRFXWE2ISU","bundle":"https://pith.science/pith/WAX6RLWNWE3OOR2JPRFXWE2ISU/bundle.json","state":"https://pith.science/pith/WAX6RLWNWE3OOR2JPRFXWE2ISU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WAX6RLWNWE3OOR2JPRFXWE2ISU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:WAX6RLWNWE3OOR2JPRFXWE2ISU","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":"c47e8791214ed101c601dbaf44d7c5e9b34383d79c5786776346e3ba60a1a76c","cross_cats_sorted":["cs.LG","physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CE","submitted_at":"2026-06-27T19:05:50Z","title_canon_sha256":"ed64dfc663e0ea81063b5b3acc704f5012094f7498f63abacf30df2af8f59c4c"},"schema_version":"1.0","source":{"id":"2606.29047","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.29047","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"arxiv_version","alias_value":"2606.29047v1","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.29047","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"pith_short_12","alias_value":"WAX6RLWNWE3O","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"pith_short_16","alias_value":"WAX6RLWNWE3OOR2J","created_at":"2026-06-30T01:17:50Z"},{"alias_kind":"pith_short_8","alias_value":"WAX6RLWN","created_at":"2026-06-30T01:17:50Z"}],"graph_snapshots":[{"event_id":"sha256:1baa22d3375c226dec5c8d4f85147a4d043a87e5660666c70975b305c3fd32eb","target":"graph","created_at":"2026-06-30T01:17:50Z","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/2606.29047/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Extracting interpretable, localized physical mechanisms from complex spatiotemporal data is a foundational challenge across physics, biology, and engineering, but has remained out of reach on real measurements. The central obstacle is obtaining high-quality gradients of data via numerical differentiation, which amplifies noise, diverges for high-order equations, and falters on irregular geometries, limiting the scope of existing approaches to clean simulations of low-order systems. Here, we present weak dominant balance, a derivative-free framework that projects governing equations into a weak","authors_text":"Christian Lagemann, Esther Lagemann, H. Jane Bae, Kunihiko Taira, Ricardo Vinuesa, Samuel Ahnert, Steven L. Brunton","cross_cats":["cs.LG","physics.flu-dyn"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CE","submitted_at":"2026-06-27T19:05:50Z","title":"Weak Dominant Balance for Robust Identification of Dynamically Consistent Fluid Flow Structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.29047","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:a6053eafba62b32a9adadc9aa875b268f5ebd6c73591d4609743c5fda4de2588","target":"record","created_at":"2026-06-30T01:17:50Z","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":"c47e8791214ed101c601dbaf44d7c5e9b34383d79c5786776346e3ba60a1a76c","cross_cats_sorted":["cs.LG","physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CE","submitted_at":"2026-06-27T19:05:50Z","title_canon_sha256":"ed64dfc663e0ea81063b5b3acc704f5012094f7498f63abacf30df2af8f59c4c"},"schema_version":"1.0","source":{"id":"2606.29047","kind":"arxiv","version":1}},"canonical_sha256":"b02fe8aecdb136e747497c4b7b13489524326386098e524f4ef5fab7e5e07683","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b02fe8aecdb136e747497c4b7b13489524326386098e524f4ef5fab7e5e07683","first_computed_at":"2026-06-30T01:17:50.680188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T01:17:50.680188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H/2P6cFscRLUMy2jsk+9c/slF9Xc3FNtuocDqqwS9llSPAyxk9EHoTSvzBBkZ3srXYaqGED3RfNyWsVSXKzlDQ==","signature_status":"signed_v1","signed_at":"2026-06-30T01:17:50.680673Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.29047","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6053eafba62b32a9adadc9aa875b268f5ebd6c73591d4609743c5fda4de2588","sha256:1baa22d3375c226dec5c8d4f85147a4d043a87e5660666c70975b305c3fd32eb"],"state_sha256":"0b6cf847c809f28af60cabfcd5ba92fdb0efa8b9f8a8ba491aae045714b5c5de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H1pQzSORZc3/h+kSzjYOj41BbY/0yHxpDuS0/mIbI3pScW3HS16juRkyW85WZV3YBbUhCKvbYG/obc5w2/4AAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T19:26:27.844743Z","bundle_sha256":"e378c2d8b2fb94361cdfec047b63b27fcf5bc4297bd8ca7ec1c43f98ba7ada03"}}