{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CQ7GLB6H27UNH5CYTHWLOGMGIB","short_pith_number":"pith:CQ7GLB6H","canonical_record":{"source":{"id":"1703.09698","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-28T04:41:21Z","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"title_canon_sha256":"8e0efa01c11624208e9b65c5c46a29cf8b079886de0d977f08b1aa363e221740","abstract_canon_sha256":"9b7db9dd504f2a7165313588b30727f9cbb60971468bfd5045fa3eb03e562c9e"},"schema_version":"1.0"},"canonical_sha256":"143e6587c7d7e8d3f45899ecb719864059334839145928060cab787a157f7039","source":{"kind":"arxiv","id":"1703.09698","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.09698","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"arxiv_version","alias_value":"1703.09698v2","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09698","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"pith_short_12","alias_value":"CQ7GLB6H27UN","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CQ7GLB6H27UNH5CY","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CQ7GLB6H","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CQ7GLB6H27UNH5CYTHWLOGMGIB","target":"record","payload":{"canonical_record":{"source":{"id":"1703.09698","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-28T04:41:21Z","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"title_canon_sha256":"8e0efa01c11624208e9b65c5c46a29cf8b079886de0d977f08b1aa363e221740","abstract_canon_sha256":"9b7db9dd504f2a7165313588b30727f9cbb60971468bfd5045fa3eb03e562c9e"},"schema_version":"1.0"},"canonical_sha256":"143e6587c7d7e8d3f45899ecb719864059334839145928060cab787a157f7039","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:32.162674Z","signature_b64":"vh4S5MLQATLHjclJX2Ye7J979UQVexXKr9VnJ8W815EWmf+HOxRNTf5g8yT7RjIUVw2oNrP4SWQr+2yfGDMwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"143e6587c7d7e8d3f45899ecb719864059334839145928060cab787a157f7039","last_reissued_at":"2026-05-18T00:33:32.162179Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:32.162179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.09698","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":"2026-05-18T00:33:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XYQ5WML0oCddyy4zd8RjdTD1upN+UI3Hu2vVs3KnME+Ng82cuHbgqIiaFpT/ESQvUPXLvI2IK/NISpQyfczgDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T16:44:13.150145Z"},"content_sha256":"c8e192adb47af306d42bc8825ff7dc3606baedb8aa4fcc3f7363f626ffafb6b9","schema_version":"1.0","event_id":"sha256:c8e192adb47af306d42bc8825ff7dc3606baedb8aa4fcc3f7363f626ffafb6b9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CQ7GLB6H27UNH5CYTHWLOGMGIB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On singular limit equations for incompressible fluids in moving thin domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Tatsu-Hiko Miura","submitted_at":"2017-03-28T04:41:21Z","abstract_excerpt":"We consider the incompressible Euler and Navier-Stokes equations in a three-dimensional moving thin domain. Under the assumption that the moving thin domain degenerates into a two-dimensional moving closed surface as the width of the thin domain goes to zero, we give a heuristic derivation of singular limit equations on the degenerate moving surface of the Euler and Navier-Stokes equations in the moving thin domain and investigate relations between their energy structures. We also compare the limit equations with the Euler and Navier-Stokes equations on a stationary manifold, which are describ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09698","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":""},"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":"2026-05-18T00:33:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kE9BN6VWZ2EBrfVhjD+kC8ZMdy8SX7hy/zMXG1Zj42jYSs4iUbHvUc7bzCaBiHFlmk7cP1R2R03UJdsSeyv+DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T16:44:13.150501Z"},"content_sha256":"9eff74a29c9eca3634fa9167ab9aafc5a8a85f6b2b4345a61026feb239b2b01a","schema_version":"1.0","event_id":"sha256:9eff74a29c9eca3634fa9167ab9aafc5a8a85f6b2b4345a61026feb239b2b01a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CQ7GLB6H27UNH5CYTHWLOGMGIB/bundle.json","state_url":"https://pith.science/pith/CQ7GLB6H27UNH5CYTHWLOGMGIB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CQ7GLB6H27UNH5CYTHWLOGMGIB/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":"2026-07-02T16:44:13Z","links":{"resolver":"https://pith.science/pith/CQ7GLB6H27UNH5CYTHWLOGMGIB","bundle":"https://pith.science/pith/CQ7GLB6H27UNH5CYTHWLOGMGIB/bundle.json","state":"https://pith.science/pith/CQ7GLB6H27UNH5CYTHWLOGMGIB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CQ7GLB6H27UNH5CYTHWLOGMGIB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CQ7GLB6H27UNH5CYTHWLOGMGIB","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":"9b7db9dd504f2a7165313588b30727f9cbb60971468bfd5045fa3eb03e562c9e","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-28T04:41:21Z","title_canon_sha256":"8e0efa01c11624208e9b65c5c46a29cf8b079886de0d977f08b1aa363e221740"},"schema_version":"1.0","source":{"id":"1703.09698","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.09698","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"arxiv_version","alias_value":"1703.09698v2","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09698","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"pith_short_12","alias_value":"CQ7GLB6H27UN","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CQ7GLB6H27UNH5CY","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CQ7GLB6H","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:9eff74a29c9eca3634fa9167ab9aafc5a8a85f6b2b4345a61026feb239b2b01a","target":"graph","created_at":"2026-05-18T00:33:32Z","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"},"paper":{"abstract_excerpt":"We consider the incompressible Euler and Navier-Stokes equations in a three-dimensional moving thin domain. Under the assumption that the moving thin domain degenerates into a two-dimensional moving closed surface as the width of the thin domain goes to zero, we give a heuristic derivation of singular limit equations on the degenerate moving surface of the Euler and Navier-Stokes equations in the moving thin domain and investigate relations between their energy structures. We also compare the limit equations with the Euler and Navier-Stokes equations on a stationary manifold, which are describ","authors_text":"Tatsu-Hiko Miura","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-28T04:41:21Z","title":"On singular limit equations for incompressible fluids in moving thin domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09698","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:c8e192adb47af306d42bc8825ff7dc3606baedb8aa4fcc3f7363f626ffafb6b9","target":"record","created_at":"2026-05-18T00:33:32Z","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":"9b7db9dd504f2a7165313588b30727f9cbb60971468bfd5045fa3eb03e562c9e","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-28T04:41:21Z","title_canon_sha256":"8e0efa01c11624208e9b65c5c46a29cf8b079886de0d977f08b1aa363e221740"},"schema_version":"1.0","source":{"id":"1703.09698","kind":"arxiv","version":2}},"canonical_sha256":"143e6587c7d7e8d3f45899ecb719864059334839145928060cab787a157f7039","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"143e6587c7d7e8d3f45899ecb719864059334839145928060cab787a157f7039","first_computed_at":"2026-05-18T00:33:32.162179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:32.162179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vh4S5MLQATLHjclJX2Ye7J979UQVexXKr9VnJ8W815EWmf+HOxRNTf5g8yT7RjIUVw2oNrP4SWQr+2yfGDMwBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:32.162674Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.09698","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8e192adb47af306d42bc8825ff7dc3606baedb8aa4fcc3f7363f626ffafb6b9","sha256:9eff74a29c9eca3634fa9167ab9aafc5a8a85f6b2b4345a61026feb239b2b01a"],"state_sha256":"91bc2bdc4f59892754d4f92c09ed5ba7b8e840187cb359a3036e743df78868ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8UF8bSwc3d1GamG1e/IlKYU16DIi+3WCnLs/gDnTu7nhCgWkEjqVcrp6jZuodxvTs/g9SwcT8eX59jrZtJKjAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T16:44:13.152540Z","bundle_sha256":"672b91a3293b6465a41af475723997ee5b7bec480ca781179d573508aa67ca0d"}}