{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:CLC6LJC4E5NBBYZ6F5PCBY444J","short_pith_number":"pith:CLC6LJC4","canonical_record":{"source":{"id":"1310.6623","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-10-24T14:22:27Z","cross_cats_sorted":["math.AP","math.MP","physics.flu-dyn"],"title_canon_sha256":"3d65dbfa68b33ce48bd0543215e682572d5fe3212e2b7c23753ab982e4f07530","abstract_canon_sha256":"7378aeb72faea2351921fc5865fe5023d2181bc6779e027e12fc983681d9940a"},"schema_version":"1.0"},"canonical_sha256":"12c5e5a45c275a10e33e2f5e20e39ce27d16cb2efd2495ff08bff183c4ac1fa5","source":{"kind":"arxiv","id":"1310.6623","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.6623","created_at":"2026-05-18T03:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"1310.6623v1","created_at":"2026-05-18T03:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.6623","created_at":"2026-05-18T03:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"CLC6LJC4E5NB","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CLC6LJC4E5NBBYZ6","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CLC6LJC4","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:CLC6LJC4E5NBBYZ6F5PCBY444J","target":"record","payload":{"canonical_record":{"source":{"id":"1310.6623","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-10-24T14:22:27Z","cross_cats_sorted":["math.AP","math.MP","physics.flu-dyn"],"title_canon_sha256":"3d65dbfa68b33ce48bd0543215e682572d5fe3212e2b7c23753ab982e4f07530","abstract_canon_sha256":"7378aeb72faea2351921fc5865fe5023d2181bc6779e027e12fc983681d9940a"},"schema_version":"1.0"},"canonical_sha256":"12c5e5a45c275a10e33e2f5e20e39ce27d16cb2efd2495ff08bff183c4ac1fa5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:08.827699Z","signature_b64":"yU/NgVz7S/LAYu/oBwomlARIyJpHg84N9TVjc8I7KVWOvMnAza3p7VWfVFpyHy/JD1EFrUHiJYF1YcAcernYCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12c5e5a45c275a10e33e2f5e20e39ce27d16cb2efd2495ff08bff183c4ac1fa5","last_reissued_at":"2026-05-18T03:09:08.827006Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:08.827006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.6623","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":"2026-05-18T03:09:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aSb2dUJXbMcT7Fd07i9FrrIT1t98wzOJcNh1iJ8zc3tm43CVCsRY6PesQ0a9XfrBZXv5mev1Qn+aXPZcT0NQBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T22:58:59.469741Z"},"content_sha256":"5f3d2931bb7205d0939ac3b7a1ef4e2ede76a3b9840059ab800ebea3687ae5d0","schema_version":"1.0","event_id":"sha256:5f3d2931bb7205d0939ac3b7a1ef4e2ede76a3b9840059ab800ebea3687ae5d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:CLC6LJC4E5NBBYZ6F5PCBY444J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High Reynolds number Navier-Stokes solutions and boundary layer separation induced by a rectilinear vortex","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP","physics.flu-dyn"],"primary_cat":"math-ph","authors_text":"Francesco Gargano, Marco Sammartino, Vincenzo Sciacca","submitted_at":"2013-10-24T14:22:27Z","abstract_excerpt":"We compute the solutions of Prandtl's and Navier-Stokes equations for the two dimensional flow induced by a rectilinear vortex interacting with a boundary in the half plane. For this initial datum Prandtl's equation develops, in a finite time, a separation singularity. We investigate the different stages of unsteady separation for Navier-Stokes solution at different Reynolds numbers $Re=10^3-10^5$, and we show the presence of a large-scale interaction between the viscous boundary layer and the inviscid outer flow. We also see a subsequent stage, characterized by the presence of a small-scale i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.6623","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":"2026-05-18T03:09:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kfa8Q5XNP2CuN1J/I3L908zcViCG+Lu0OVTEKGHoOqoZLJiO9WJmep0jJQN8QKg6KCajs6r2TlvK5820K4yWAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T22:58:59.470090Z"},"content_sha256":"053637d39edfbf183ded469ee3560b91ca7d71c5b1c382185d0c05031e9861b6","schema_version":"1.0","event_id":"sha256:053637d39edfbf183ded469ee3560b91ca7d71c5b1c382185d0c05031e9861b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CLC6LJC4E5NBBYZ6F5PCBY444J/bundle.json","state_url":"https://pith.science/pith/CLC6LJC4E5NBBYZ6F5PCBY444J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CLC6LJC4E5NBBYZ6F5PCBY444J/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":"2026-06-30T22:58:59Z","links":{"resolver":"https://pith.science/pith/CLC6LJC4E5NBBYZ6F5PCBY444J","bundle":"https://pith.science/pith/CLC6LJC4E5NBBYZ6F5PCBY444J/bundle.json","state":"https://pith.science/pith/CLC6LJC4E5NBBYZ6F5PCBY444J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CLC6LJC4E5NBBYZ6F5PCBY444J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CLC6LJC4E5NBBYZ6F5PCBY444J","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":"7378aeb72faea2351921fc5865fe5023d2181bc6779e027e12fc983681d9940a","cross_cats_sorted":["math.AP","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-10-24T14:22:27Z","title_canon_sha256":"3d65dbfa68b33ce48bd0543215e682572d5fe3212e2b7c23753ab982e4f07530"},"schema_version":"1.0","source":{"id":"1310.6623","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.6623","created_at":"2026-05-18T03:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"1310.6623v1","created_at":"2026-05-18T03:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.6623","created_at":"2026-05-18T03:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"CLC6LJC4E5NB","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CLC6LJC4E5NBBYZ6","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CLC6LJC4","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:053637d39edfbf183ded469ee3560b91ca7d71c5b1c382185d0c05031e9861b6","target":"graph","created_at":"2026-05-18T03:09:08Z","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 compute the solutions of Prandtl's and Navier-Stokes equations for the two dimensional flow induced by a rectilinear vortex interacting with a boundary in the half plane. For this initial datum Prandtl's equation develops, in a finite time, a separation singularity. We investigate the different stages of unsteady separation for Navier-Stokes solution at different Reynolds numbers $Re=10^3-10^5$, and we show the presence of a large-scale interaction between the viscous boundary layer and the inviscid outer flow. We also see a subsequent stage, characterized by the presence of a small-scale i","authors_text":"Francesco Gargano, Marco Sammartino, Vincenzo Sciacca","cross_cats":["math.AP","math.MP","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-10-24T14:22:27Z","title":"High Reynolds number Navier-Stokes solutions and boundary layer separation induced by a rectilinear vortex"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.6623","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":"sha256:5f3d2931bb7205d0939ac3b7a1ef4e2ede76a3b9840059ab800ebea3687ae5d0","target":"record","created_at":"2026-05-18T03:09:08Z","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":"7378aeb72faea2351921fc5865fe5023d2181bc6779e027e12fc983681d9940a","cross_cats_sorted":["math.AP","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-10-24T14:22:27Z","title_canon_sha256":"3d65dbfa68b33ce48bd0543215e682572d5fe3212e2b7c23753ab982e4f07530"},"schema_version":"1.0","source":{"id":"1310.6623","kind":"arxiv","version":1}},"canonical_sha256":"12c5e5a45c275a10e33e2f5e20e39ce27d16cb2efd2495ff08bff183c4ac1fa5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12c5e5a45c275a10e33e2f5e20e39ce27d16cb2efd2495ff08bff183c4ac1fa5","first_computed_at":"2026-05-18T03:09:08.827006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:08.827006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yU/NgVz7S/LAYu/oBwomlARIyJpHg84N9TVjc8I7KVWOvMnAza3p7VWfVFpyHy/JD1EFrUHiJYF1YcAcernYCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:08.827699Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.6623","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f3d2931bb7205d0939ac3b7a1ef4e2ede76a3b9840059ab800ebea3687ae5d0","sha256:053637d39edfbf183ded469ee3560b91ca7d71c5b1c382185d0c05031e9861b6"],"state_sha256":"00bc3ac3a77e1393b8072bfdda8e446cfa940fa4724b99f84d6d1bcc1fc698c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+sAm6+HKL0x1QQEjkVxLw+I731qNB2sOXjJyhiHwscnMk14dd4hTD7E7KnUS+yQGgMBktsP2Q04NpMNH6aVOCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T22:58:59.472102Z","bundle_sha256":"9595eae51871d5905a50ad20bdf6b79825d5ae5694d9cff04ae29757f190edfc"}}