{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:KPB5TPEM3OE2FW4LAQ22BKAECS","short_pith_number":"pith:KPB5TPEM","canonical_record":{"source":{"id":"2306.08995","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2023-06-15T09:43:45Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"c92903450b1c535090861a10138153072775a83a401fe2297b131144605fec9d","abstract_canon_sha256":"4dfebf30765a4891feb20304a34d2b418f552733d14cc31084c13a39290a9fc8"},"schema_version":"1.0"},"canonical_sha256":"53c3d9bc8cdb89a2db8b0435a0a804149ec98cc7a842f3cb6fdec80dfd7f5ead","source":{"kind":"arxiv","id":"2306.08995","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.08995","created_at":"2026-07-05T06:21:07Z"},{"alias_kind":"arxiv_version","alias_value":"2306.08995v1","created_at":"2026-07-05T06:21:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.08995","created_at":"2026-07-05T06:21:07Z"},{"alias_kind":"pith_short_12","alias_value":"KPB5TPEM3OE2","created_at":"2026-07-05T06:21:07Z"},{"alias_kind":"pith_short_16","alias_value":"KPB5TPEM3OE2FW4L","created_at":"2026-07-05T06:21:07Z"},{"alias_kind":"pith_short_8","alias_value":"KPB5TPEM","created_at":"2026-07-05T06:21:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:KPB5TPEM3OE2FW4LAQ22BKAECS","target":"record","payload":{"canonical_record":{"source":{"id":"2306.08995","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2023-06-15T09:43:45Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"c92903450b1c535090861a10138153072775a83a401fe2297b131144605fec9d","abstract_canon_sha256":"4dfebf30765a4891feb20304a34d2b418f552733d14cc31084c13a39290a9fc8"},"schema_version":"1.0"},"canonical_sha256":"53c3d9bc8cdb89a2db8b0435a0a804149ec98cc7a842f3cb6fdec80dfd7f5ead","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:21:07.132706Z","signature_b64":"9hImS/KxaX/tbO3UGWEGax8UjoLikj2d7ZM76yJ/GqQG9VDeM8EXM4FH6yohfZ9YoCKh0Zovl4cW/akdQ9OfAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53c3d9bc8cdb89a2db8b0435a0a804149ec98cc7a842f3cb6fdec80dfd7f5ead","last_reissued_at":"2026-07-05T06:21:07.132206Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:21:07.132206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.08995","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":"2026-07-05T06:21:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vYUpC85PADgeFqYts0bSzeYTm9PYsXFAizf5U+Q7B3SnknkIfBBuKvIjG/jAeU56xhkebH3dKew4ngFh/xYMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T10:42:45.143129Z"},"content_sha256":"a3112558169aa421f3369e3baab283eefa38008e98b4e619c393ea9154d49095","schema_version":"1.0","event_id":"sha256:a3112558169aa421f3369e3baab283eefa38008e98b4e619c393ea9154d49095"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:KPB5TPEM3OE2FW4LAQ22BKAECS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Instability of the optimal edge trajectory in the Blasius boundary layer","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"physics.flu-dyn","authors_text":"Dan S. Henningson, Miguel Beneitez, Philipp Schlatter, Yohann Duguet","submitted_at":"2023-06-15T09:43:45Z","abstract_excerpt":"In the context of linear stability analysis, considering unsteady base flows is notoriously difficult. A generalisation of modal linear stability analysis, allowing for arbitrarily unsteady base flows over a finite time, is therefore required. The recently developed optimally time-dependent (OTD) modes form a projection basis for the tangent space. They capture the leading amplification directions in state space under the constraint that they form an orthonormal basis at all times. The present numerical study illustrates the possibility to describe a complex flow case using the leading OTD mod"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.08995","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/2306.08995/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":"2026-07-05T06:21:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"orZyPfkmaZaWV6P+nTTT/bMVsNk/FG8HTx9U2xIznZujHrtDmoqZ6V6BXUk78SZEknnRJ7a6Ba3WW0UsZX01Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T10:42:45.143515Z"},"content_sha256":"ae18222f87e03f4d80876c16d0cda211be8ae3ce7560944b46268e0702997e6a","schema_version":"1.0","event_id":"sha256:ae18222f87e03f4d80876c16d0cda211be8ae3ce7560944b46268e0702997e6a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KPB5TPEM3OE2FW4LAQ22BKAECS/bundle.json","state_url":"https://pith.science/pith/KPB5TPEM3OE2FW4LAQ22BKAECS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KPB5TPEM3OE2FW4LAQ22BKAECS/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":"2026-07-07T10:42:45Z","links":{"resolver":"https://pith.science/pith/KPB5TPEM3OE2FW4LAQ22BKAECS","bundle":"https://pith.science/pith/KPB5TPEM3OE2FW4LAQ22BKAECS/bundle.json","state":"https://pith.science/pith/KPB5TPEM3OE2FW4LAQ22BKAECS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KPB5TPEM3OE2FW4LAQ22BKAECS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:KPB5TPEM3OE2FW4LAQ22BKAECS","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":"4dfebf30765a4891feb20304a34d2b418f552733d14cc31084c13a39290a9fc8","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2023-06-15T09:43:45Z","title_canon_sha256":"c92903450b1c535090861a10138153072775a83a401fe2297b131144605fec9d"},"schema_version":"1.0","source":{"id":"2306.08995","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.08995","created_at":"2026-07-05T06:21:07Z"},{"alias_kind":"arxiv_version","alias_value":"2306.08995v1","created_at":"2026-07-05T06:21:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.08995","created_at":"2026-07-05T06:21:07Z"},{"alias_kind":"pith_short_12","alias_value":"KPB5TPEM3OE2","created_at":"2026-07-05T06:21:07Z"},{"alias_kind":"pith_short_16","alias_value":"KPB5TPEM3OE2FW4L","created_at":"2026-07-05T06:21:07Z"},{"alias_kind":"pith_short_8","alias_value":"KPB5TPEM","created_at":"2026-07-05T06:21:07Z"}],"graph_snapshots":[{"event_id":"sha256:ae18222f87e03f4d80876c16d0cda211be8ae3ce7560944b46268e0702997e6a","target":"graph","created_at":"2026-07-05T06:21:07Z","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/2306.08995/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the context of linear stability analysis, considering unsteady base flows is notoriously difficult. A generalisation of modal linear stability analysis, allowing for arbitrarily unsteady base flows over a finite time, is therefore required. The recently developed optimally time-dependent (OTD) modes form a projection basis for the tangent space. They capture the leading amplification directions in state space under the constraint that they form an orthonormal basis at all times. The present numerical study illustrates the possibility to describe a complex flow case using the leading OTD mod","authors_text":"Dan S. Henningson, Miguel Beneitez, Philipp Schlatter, Yohann Duguet","cross_cats":["math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2023-06-15T09:43:45Z","title":"Instability of the optimal edge trajectory in the Blasius boundary layer"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.08995","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:a3112558169aa421f3369e3baab283eefa38008e98b4e619c393ea9154d49095","target":"record","created_at":"2026-07-05T06:21:07Z","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":"4dfebf30765a4891feb20304a34d2b418f552733d14cc31084c13a39290a9fc8","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2023-06-15T09:43:45Z","title_canon_sha256":"c92903450b1c535090861a10138153072775a83a401fe2297b131144605fec9d"},"schema_version":"1.0","source":{"id":"2306.08995","kind":"arxiv","version":1}},"canonical_sha256":"53c3d9bc8cdb89a2db8b0435a0a804149ec98cc7a842f3cb6fdec80dfd7f5ead","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53c3d9bc8cdb89a2db8b0435a0a804149ec98cc7a842f3cb6fdec80dfd7f5ead","first_computed_at":"2026-07-05T06:21:07.132206Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:21:07.132206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9hImS/KxaX/tbO3UGWEGax8UjoLikj2d7ZM76yJ/GqQG9VDeM8EXM4FH6yohfZ9YoCKh0Zovl4cW/akdQ9OfAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:21:07.132706Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.08995","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3112558169aa421f3369e3baab283eefa38008e98b4e619c393ea9154d49095","sha256:ae18222f87e03f4d80876c16d0cda211be8ae3ce7560944b46268e0702997e6a"],"state_sha256":"dceac94949fbf621fe595bc79aef837ae2b82cbba066579ff80a76fc2b03ae11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gTWO1G/pN98WMURKtw2bvvWWJRC3SWevVF0Talh3+I+Y6K3sUUvkzLfVBZmwNhsFk8wOSCAOrcZDJbGg7rL+Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T10:42:45.145490Z","bundle_sha256":"27e6f7434c816594a624a6cbe78e2e0480c0ca3da2d86917d3d3fd1aa9888dff"}}