{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:PXDICHLUCQC6N6Q2A4JSNBKPNS","short_pith_number":"pith:PXDICHLU","canonical_record":{"source":{"id":"1812.03906","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-10T16:31:35Z","cross_cats_sorted":[],"title_canon_sha256":"15b01eab0b809e10ee1df46d667600950816b1cb885578b05318a68440bbe36f","abstract_canon_sha256":"16450e88e61c156bced7e9c7f4fa60630f753953c279b9ea2f43759c4972b3f9"},"schema_version":"1.0"},"canonical_sha256":"7dc6811d741405e6fa1a071326854f6ca630422865cd9c3f810a77f68e17c228","source":{"kind":"arxiv","id":"1812.03906","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.03906","created_at":"2026-05-17T23:58:43Z"},{"alias_kind":"arxiv_version","alias_value":"1812.03906v1","created_at":"2026-05-17T23:58:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.03906","created_at":"2026-05-17T23:58:43Z"},{"alias_kind":"pith_short_12","alias_value":"PXDICHLUCQC6","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"PXDICHLUCQC6N6Q2","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"PXDICHLU","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:PXDICHLUCQC6N6Q2A4JSNBKPNS","target":"record","payload":{"canonical_record":{"source":{"id":"1812.03906","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-10T16:31:35Z","cross_cats_sorted":[],"title_canon_sha256":"15b01eab0b809e10ee1df46d667600950816b1cb885578b05318a68440bbe36f","abstract_canon_sha256":"16450e88e61c156bced7e9c7f4fa60630f753953c279b9ea2f43759c4972b3f9"},"schema_version":"1.0"},"canonical_sha256":"7dc6811d741405e6fa1a071326854f6ca630422865cd9c3f810a77f68e17c228","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:43.609825Z","signature_b64":"J8/MJqJYdDQhUkvlzN1pQoAJXZg6BjcV8qcXu1mRL1NUfsf20bR8XbJe75pIAvjKSYpq4v/Vx9ZIz1rIPJaFAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7dc6811d741405e6fa1a071326854f6ca630422865cd9c3f810a77f68e17c228","last_reissued_at":"2026-05-17T23:58:43.609294Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:43.609294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.03906","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":"2026-05-17T23:58:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tgcdxfFYHd4On8IVLmvjxNdAgAh/gzRQ4dNar+Vupyy9KZSBfxFaMKsSiTfIjSdXZaYcogpBo0GkTdSKt3ePDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T21:51:47.609329Z"},"content_sha256":"edae9b14b66700e404e10697c0c0ec191c547907883f195ee40d12d3464c1fe3","schema_version":"1.0","event_id":"sha256:edae9b14b66700e404e10697c0c0ec191c547907883f195ee40d12d3464c1fe3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:PXDICHLUCQC6N6Q2A4JSNBKPNS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Global-in-$x$ Stability of Blasius Profiles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Sameer Iyer","submitted_at":"2018-12-10T16:31:35Z","abstract_excerpt":"We characterize the well known self-similar Blasius profiles, $[\\bar{u}, \\bar{v}]$, as downstream attractors to solutions $[u,v]$ to the 2D, stationary Prandtl system. It was established in \\cite{Serrin} that $\\| u - \\bar{u}\\|_{L^\\infty_y} \\rightarrow 0$ as $x \\rightarrow \\infty$. Our result furthers \\cite{Serrin} in the case of localized data near Blasius by establishing convergence in stronger norms and by characterizing the decay rates. Central to our analysis is a \"division estimate\", in turn based on the introduction of a new quantity, $\\Omega$, which is globally nonnegative precisely for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03906","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":"2026-05-17T23:58:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RdvP4imtRRsNJASl8cGIgFZZl+n4HmcJBuZ5ypVs+WjvYYbXejvQ+9rQO/g80Ka3dyUXHx0S2e22rd3TrOa/DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T21:51:47.609678Z"},"content_sha256":"9e4a2f06402ec488197d64deec75a3f5ffe30a3735ce77ac2f43789834187958","schema_version":"1.0","event_id":"sha256:9e4a2f06402ec488197d64deec75a3f5ffe30a3735ce77ac2f43789834187958"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PXDICHLUCQC6N6Q2A4JSNBKPNS/bundle.json","state_url":"https://pith.science/pith/PXDICHLUCQC6N6Q2A4JSNBKPNS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PXDICHLUCQC6N6Q2A4JSNBKPNS/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":"2026-06-26T21:51:47Z","links":{"resolver":"https://pith.science/pith/PXDICHLUCQC6N6Q2A4JSNBKPNS","bundle":"https://pith.science/pith/PXDICHLUCQC6N6Q2A4JSNBKPNS/bundle.json","state":"https://pith.science/pith/PXDICHLUCQC6N6Q2A4JSNBKPNS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PXDICHLUCQC6N6Q2A4JSNBKPNS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PXDICHLUCQC6N6Q2A4JSNBKPNS","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":"16450e88e61c156bced7e9c7f4fa60630f753953c279b9ea2f43759c4972b3f9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-10T16:31:35Z","title_canon_sha256":"15b01eab0b809e10ee1df46d667600950816b1cb885578b05318a68440bbe36f"},"schema_version":"1.0","source":{"id":"1812.03906","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.03906","created_at":"2026-05-17T23:58:43Z"},{"alias_kind":"arxiv_version","alias_value":"1812.03906v1","created_at":"2026-05-17T23:58:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.03906","created_at":"2026-05-17T23:58:43Z"},{"alias_kind":"pith_short_12","alias_value":"PXDICHLUCQC6","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"PXDICHLUCQC6N6Q2","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"PXDICHLU","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:9e4a2f06402ec488197d64deec75a3f5ffe30a3735ce77ac2f43789834187958","target":"graph","created_at":"2026-05-17T23:58:43Z","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 characterize the well known self-similar Blasius profiles, $[\\bar{u}, \\bar{v}]$, as downstream attractors to solutions $[u,v]$ to the 2D, stationary Prandtl system. It was established in \\cite{Serrin} that $\\| u - \\bar{u}\\|_{L^\\infty_y} \\rightarrow 0$ as $x \\rightarrow \\infty$. Our result furthers \\cite{Serrin} in the case of localized data near Blasius by establishing convergence in stronger norms and by characterizing the decay rates. Central to our analysis is a \"division estimate\", in turn based on the introduction of a new quantity, $\\Omega$, which is globally nonnegative precisely for","authors_text":"Sameer Iyer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-10T16:31:35Z","title":"On Global-in-$x$ Stability of Blasius Profiles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03906","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:edae9b14b66700e404e10697c0c0ec191c547907883f195ee40d12d3464c1fe3","target":"record","created_at":"2026-05-17T23:58:43Z","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":"16450e88e61c156bced7e9c7f4fa60630f753953c279b9ea2f43759c4972b3f9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-10T16:31:35Z","title_canon_sha256":"15b01eab0b809e10ee1df46d667600950816b1cb885578b05318a68440bbe36f"},"schema_version":"1.0","source":{"id":"1812.03906","kind":"arxiv","version":1}},"canonical_sha256":"7dc6811d741405e6fa1a071326854f6ca630422865cd9c3f810a77f68e17c228","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7dc6811d741405e6fa1a071326854f6ca630422865cd9c3f810a77f68e17c228","first_computed_at":"2026-05-17T23:58:43.609294Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:43.609294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J8/MJqJYdDQhUkvlzN1pQoAJXZg6BjcV8qcXu1mRL1NUfsf20bR8XbJe75pIAvjKSYpq4v/Vx9ZIz1rIPJaFAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:43.609825Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.03906","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edae9b14b66700e404e10697c0c0ec191c547907883f195ee40d12d3464c1fe3","sha256:9e4a2f06402ec488197d64deec75a3f5ffe30a3735ce77ac2f43789834187958"],"state_sha256":"bab2a54cbb902eec8f247b2d06398775b2f0f6bd72d875993b1e04c9ca31bbfd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8V0nJQ4NUxEPAuCOy7k6cGKvStTVNEByDY/peT2iS5SYtIRlbXS//ZBUem/7gosY86iyG3Ua0o7Ek+3/+0F0CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T21:51:47.611539Z","bundle_sha256":"41b52813d4a465b40cbfb442ecc349d4eabce57e9e8427a059a982f9b560a9a8"}}