{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:7LNWJ6YD3WL7GCTKMQGXSXHGUQ","short_pith_number":"pith:7LNWJ6YD","canonical_record":{"source":{"id":"1409.6047","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-09-21T22:01:50Z","cross_cats_sorted":[],"title_canon_sha256":"19ff6b75d0c5de345c181bb89aa09313a0f97450e67c0b287c3134de30fecb4e","abstract_canon_sha256":"3311e9ff4f9b07a07deacb0ded03ee11397f5b528ef5bbaa9720ad8eb9ad2b8c"},"schema_version":"1.0"},"canonical_sha256":"fadb64fb03dd97f30a6a640d795ce6a43fe84bfb7507dd0d2896197739d63cf7","source":{"kind":"arxiv","id":"1409.6047","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6047","created_at":"2026-05-18T02:42:13Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6047v1","created_at":"2026-05-18T02:42:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6047","created_at":"2026-05-18T02:42:13Z"},{"alias_kind":"pith_short_12","alias_value":"7LNWJ6YD3WL7","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7LNWJ6YD3WL7GCTK","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7LNWJ6YD","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:7LNWJ6YD3WL7GCTKMQGXSXHGUQ","target":"record","payload":{"canonical_record":{"source":{"id":"1409.6047","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-09-21T22:01:50Z","cross_cats_sorted":[],"title_canon_sha256":"19ff6b75d0c5de345c181bb89aa09313a0f97450e67c0b287c3134de30fecb4e","abstract_canon_sha256":"3311e9ff4f9b07a07deacb0ded03ee11397f5b528ef5bbaa9720ad8eb9ad2b8c"},"schema_version":"1.0"},"canonical_sha256":"fadb64fb03dd97f30a6a640d795ce6a43fe84bfb7507dd0d2896197739d63cf7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:13.873090Z","signature_b64":"4spel9npzVm0GtG6HB6GX/6IoVWqflfWx6bin1ly4hIv5JIDKmbP+NHS76rOG/JLJS44vGaN432ZkRU/NUT8Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fadb64fb03dd97f30a6a640d795ce6a43fe84bfb7507dd0d2896197739d63cf7","last_reissued_at":"2026-05-18T02:42:13.872721Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:13.872721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.6047","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":"2026-05-18T02:42:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zliGnFXiaOJC2ddIqXFBpUhS2QdfwS/L0xueCrygDUsDoA6JPWJMDx9+NJOgiouUjxh1+sc/cWk9h07EGmPLAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:10:48.505262Z"},"content_sha256":"183bee690e7fd242623fa0c148c3b1191127eb06d28c2b50ae325ce471de4425","schema_version":"1.0","event_id":"sha256:183bee690e7fd242623fa0c148c3b1191127eb06d28c2b50ae325ce471de4425"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:7LNWJ6YD3WL7GCTKMQGXSXHGUQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A foundation for analytical developments in the logarithmic region of turbulent channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Ati S. Sharma, Beverley J. McKeon, Joel A. Tropp, Rashad Moarref","submitted_at":"2014-09-21T22:01:50Z","abstract_excerpt":"An analytical framework for studying the logarithmic region of turbulent channels is formulated. We build on recent findings (Moarref et al., J. Fluid Mech., 734, 2013) that the velocity fluctuations in the logarithmic region can be decomposed into a weighted sum of geometrically self-similar resolvent modes. The resolvent modes and the weights represent the linear amplification mechanisms and the scaling influence of the nonlinear interactions in the Navier-Stokes equations (NSE), respectively (McKeon & Sharma, J. Fluid Mech., 658, 2010). Originating from the NSE, this framework provides an a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6047","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":""},"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":"2026-05-18T02:42:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bl+CLs9Jc3U5ZHCTuHLshemGsnjmznPCQA/knwbK+eSIWHcH/Q4MBwI1selgWhfVHwt5AmqmXzMIVGzVIevSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:10:48.506004Z"},"content_sha256":"0e0710b834c857b0b86d889ca7869f0121d64b3eb4962084d9fd286a4ef65aec","schema_version":"1.0","event_id":"sha256:0e0710b834c857b0b86d889ca7869f0121d64b3eb4962084d9fd286a4ef65aec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7LNWJ6YD3WL7GCTKMQGXSXHGUQ/bundle.json","state_url":"https://pith.science/pith/7LNWJ6YD3WL7GCTKMQGXSXHGUQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7LNWJ6YD3WL7GCTKMQGXSXHGUQ/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":"2026-06-09T08:10:48Z","links":{"resolver":"https://pith.science/pith/7LNWJ6YD3WL7GCTKMQGXSXHGUQ","bundle":"https://pith.science/pith/7LNWJ6YD3WL7GCTKMQGXSXHGUQ/bundle.json","state":"https://pith.science/pith/7LNWJ6YD3WL7GCTKMQGXSXHGUQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7LNWJ6YD3WL7GCTKMQGXSXHGUQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7LNWJ6YD3WL7GCTKMQGXSXHGUQ","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":"3311e9ff4f9b07a07deacb0ded03ee11397f5b528ef5bbaa9720ad8eb9ad2b8c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-09-21T22:01:50Z","title_canon_sha256":"19ff6b75d0c5de345c181bb89aa09313a0f97450e67c0b287c3134de30fecb4e"},"schema_version":"1.0","source":{"id":"1409.6047","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6047","created_at":"2026-05-18T02:42:13Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6047v1","created_at":"2026-05-18T02:42:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6047","created_at":"2026-05-18T02:42:13Z"},{"alias_kind":"pith_short_12","alias_value":"7LNWJ6YD3WL7","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7LNWJ6YD3WL7GCTK","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7LNWJ6YD","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:0e0710b834c857b0b86d889ca7869f0121d64b3eb4962084d9fd286a4ef65aec","target":"graph","created_at":"2026-05-18T02:42:13Z","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":"An analytical framework for studying the logarithmic region of turbulent channels is formulated. We build on recent findings (Moarref et al., J. Fluid Mech., 734, 2013) that the velocity fluctuations in the logarithmic region can be decomposed into a weighted sum of geometrically self-similar resolvent modes. The resolvent modes and the weights represent the linear amplification mechanisms and the scaling influence of the nonlinear interactions in the Navier-Stokes equations (NSE), respectively (McKeon & Sharma, J. Fluid Mech., 658, 2010). Originating from the NSE, this framework provides an a","authors_text":"Ati S. Sharma, Beverley J. McKeon, Joel A. Tropp, Rashad Moarref","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-09-21T22:01:50Z","title":"A foundation for analytical developments in the logarithmic region of turbulent channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6047","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":"sha256:183bee690e7fd242623fa0c148c3b1191127eb06d28c2b50ae325ce471de4425","target":"record","created_at":"2026-05-18T02:42:13Z","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":"3311e9ff4f9b07a07deacb0ded03ee11397f5b528ef5bbaa9720ad8eb9ad2b8c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-09-21T22:01:50Z","title_canon_sha256":"19ff6b75d0c5de345c181bb89aa09313a0f97450e67c0b287c3134de30fecb4e"},"schema_version":"1.0","source":{"id":"1409.6047","kind":"arxiv","version":1}},"canonical_sha256":"fadb64fb03dd97f30a6a640d795ce6a43fe84bfb7507dd0d2896197739d63cf7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fadb64fb03dd97f30a6a640d795ce6a43fe84bfb7507dd0d2896197739d63cf7","first_computed_at":"2026-05-18T02:42:13.872721Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:13.872721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4spel9npzVm0GtG6HB6GX/6IoVWqflfWx6bin1ly4hIv5JIDKmbP+NHS76rOG/JLJS44vGaN432ZkRU/NUT8Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:13.873090Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.6047","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:183bee690e7fd242623fa0c148c3b1191127eb06d28c2b50ae325ce471de4425","sha256:0e0710b834c857b0b86d889ca7869f0121d64b3eb4962084d9fd286a4ef65aec"],"state_sha256":"417ff082e72303cc3c22e64f90e7a3bd853483bf9c5882c6db3c1db159cf11c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MaLHFsyBdZl3W+4CEX20xOFfjNgCpe5/bD0gP4+3Y9sDvaoXWMA92E4WzBX9MjW/PB+/UKvc4rDyhgIXeX+fAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T08:10:48.510133Z","bundle_sha256":"9d83e121e2f742526336d6a7d9631ea4d5f8029b1fc4819007a440cbf3c9b33a"}}