{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:E6YEWVTUQPARSU4NJWBFAVKWEB","short_pith_number":"pith:E6YEWVTU","canonical_record":{"source":{"id":"1302.1594","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-02-06T22:02:12Z","cross_cats_sorted":[],"title_canon_sha256":"1627f224b78862caeaca7ddab0998bab24b1bd9f4baa00cce340ffa0afa68d9e","abstract_canon_sha256":"8a5a2d4e8dc205f8d48b85270ad91c836147137fdf0666ba853bb81bcd30a962"},"schema_version":"1.0"},"canonical_sha256":"27b04b567483c119538d4d82505556204435f2ac1e93f5ad0b3b74c14577ae5b","source":{"kind":"arxiv","id":"1302.1594","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.1594","created_at":"2026-05-18T02:51:25Z"},{"alias_kind":"arxiv_version","alias_value":"1302.1594v2","created_at":"2026-05-18T02:51:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.1594","created_at":"2026-05-18T02:51:25Z"},{"alias_kind":"pith_short_12","alias_value":"E6YEWVTUQPAR","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E6YEWVTUQPARSU4N","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E6YEWVTU","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:E6YEWVTUQPARSU4NJWBFAVKWEB","target":"record","payload":{"canonical_record":{"source":{"id":"1302.1594","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-02-06T22:02:12Z","cross_cats_sorted":[],"title_canon_sha256":"1627f224b78862caeaca7ddab0998bab24b1bd9f4baa00cce340ffa0afa68d9e","abstract_canon_sha256":"8a5a2d4e8dc205f8d48b85270ad91c836147137fdf0666ba853bb81bcd30a962"},"schema_version":"1.0"},"canonical_sha256":"27b04b567483c119538d4d82505556204435f2ac1e93f5ad0b3b74c14577ae5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:25.466179Z","signature_b64":"KWr7Jp63SYFdTA2dLJVXOyw5JAjwYYVE4A6vmnU2f2Fw8ty4mkMKwjkkCvZ01uQG2xabGlfdmWGJOGsA3aoSCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27b04b567483c119538d4d82505556204435f2ac1e93f5ad0b3b74c14577ae5b","last_reissued_at":"2026-05-18T02:51:25.465454Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:25.465454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.1594","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":"2026-05-18T02:51:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BSkBXU/ZDhE8drDt9Qd9FN1UZCtKAlp+TTAVjs2NJXixI1XTrYzjoNlurGH6TI+SZMxS90NR9v3phQOP8TqkDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:11:04.649776Z"},"content_sha256":"a51ee9d0c2c3560a8e163fcadfb13bb67ef97fd4857cc40c0b2b94b70946cb06","schema_version":"1.0","event_id":"sha256:a51ee9d0c2c3560a8e163fcadfb13bb67ef97fd4857cc40c0b2b94b70946cb06"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:E6YEWVTUQPARSU4NJWBFAVKWEB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Model-based scaling of the streamwise energy density in high-Reynolds number 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":"2013-02-06T22:02:12Z","abstract_excerpt":"We study the Reynolds number scaling and the geometric self-similarity of a gain-based, low-rank approximation to turbulent channel flows, determined by the resolvent formulation of McKeon & Sharma (2010), in order to obtain a description of the streamwise turbulence intensity from direct consideration of the Navier-Stokes equations. Under this formulation, the velocity field is decomposed into propagating waves (with single streamwise and spanwise wavelengths and wave speed) whose wall-normal shapes are determined from the principal singular function of the corresponding resolvent operator. U"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.1594","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":"2026-05-18T02:51:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AgPiv4yn459tk0VXV1nljL9LpyePfMFxr4WkRfNjZ3NPzlL1DBxxIuGNb5z9710WoWSBXP5xf9PCCaBMnY1dCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:11:04.650499Z"},"content_sha256":"63429603e041c198e05be16cf45bce29a4d277c963fa88a3c2300b436ad89599","schema_version":"1.0","event_id":"sha256:63429603e041c198e05be16cf45bce29a4d277c963fa88a3c2300b436ad89599"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E6YEWVTUQPARSU4NJWBFAVKWEB/bundle.json","state_url":"https://pith.science/pith/E6YEWVTUQPARSU4NJWBFAVKWEB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E6YEWVTUQPARSU4NJWBFAVKWEB/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":"2026-06-09T09:11:04Z","links":{"resolver":"https://pith.science/pith/E6YEWVTUQPARSU4NJWBFAVKWEB","bundle":"https://pith.science/pith/E6YEWVTUQPARSU4NJWBFAVKWEB/bundle.json","state":"https://pith.science/pith/E6YEWVTUQPARSU4NJWBFAVKWEB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E6YEWVTUQPARSU4NJWBFAVKWEB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:E6YEWVTUQPARSU4NJWBFAVKWEB","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":"8a5a2d4e8dc205f8d48b85270ad91c836147137fdf0666ba853bb81bcd30a962","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-02-06T22:02:12Z","title_canon_sha256":"1627f224b78862caeaca7ddab0998bab24b1bd9f4baa00cce340ffa0afa68d9e"},"schema_version":"1.0","source":{"id":"1302.1594","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.1594","created_at":"2026-05-18T02:51:25Z"},{"alias_kind":"arxiv_version","alias_value":"1302.1594v2","created_at":"2026-05-18T02:51:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.1594","created_at":"2026-05-18T02:51:25Z"},{"alias_kind":"pith_short_12","alias_value":"E6YEWVTUQPAR","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E6YEWVTUQPARSU4N","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E6YEWVTU","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:63429603e041c198e05be16cf45bce29a4d277c963fa88a3c2300b436ad89599","target":"graph","created_at":"2026-05-18T02:51:25Z","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 study the Reynolds number scaling and the geometric self-similarity of a gain-based, low-rank approximation to turbulent channel flows, determined by the resolvent formulation of McKeon & Sharma (2010), in order to obtain a description of the streamwise turbulence intensity from direct consideration of the Navier-Stokes equations. Under this formulation, the velocity field is decomposed into propagating waves (with single streamwise and spanwise wavelengths and wave speed) whose wall-normal shapes are determined from the principal singular function of the corresponding resolvent operator. U","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":"2013-02-06T22:02:12Z","title":"Model-based scaling of the streamwise energy density in high-Reynolds number turbulent channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.1594","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:a51ee9d0c2c3560a8e163fcadfb13bb67ef97fd4857cc40c0b2b94b70946cb06","target":"record","created_at":"2026-05-18T02:51:25Z","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":"8a5a2d4e8dc205f8d48b85270ad91c836147137fdf0666ba853bb81bcd30a962","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-02-06T22:02:12Z","title_canon_sha256":"1627f224b78862caeaca7ddab0998bab24b1bd9f4baa00cce340ffa0afa68d9e"},"schema_version":"1.0","source":{"id":"1302.1594","kind":"arxiv","version":2}},"canonical_sha256":"27b04b567483c119538d4d82505556204435f2ac1e93f5ad0b3b74c14577ae5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27b04b567483c119538d4d82505556204435f2ac1e93f5ad0b3b74c14577ae5b","first_computed_at":"2026-05-18T02:51:25.465454Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:25.465454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KWr7Jp63SYFdTA2dLJVXOyw5JAjwYYVE4A6vmnU2f2Fw8ty4mkMKwjkkCvZ01uQG2xabGlfdmWGJOGsA3aoSCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:25.466179Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.1594","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a51ee9d0c2c3560a8e163fcadfb13bb67ef97fd4857cc40c0b2b94b70946cb06","sha256:63429603e041c198e05be16cf45bce29a4d277c963fa88a3c2300b436ad89599"],"state_sha256":"8a46a95a417466e67d1e69d80464075711d52e02ccc028ff2b5e592088ec991f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UU/IOv09woLHQP2uE4K7wrCvp0vPybzPJAlUhYtU8OpL6PzQ8Ruks0VRYzvPt0sa4uHAo7WI9jLvjpFeWaPuCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T09:11:04.654223Z","bundle_sha256":"a6600e44fa9d125951193a242d487f2b169e86e2878094133ea268a774936fcb"}}