{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SRIQEXCERJNRINEWFXVREYQ6SD","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":"9b9566f3ced5987a85beb7096f1ed25bd57d8f2435df8ec3678b1072017c1daa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-21T14:57:19Z","title_canon_sha256":"596587fc503ff28a8a51394ba68d2aa7500d6f1218f22f9b14fc35e3ccf1a84e"},"schema_version":"1.0","source":{"id":"1405.5446","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.5446","created_at":"2026-05-18T02:51:24Z"},{"alias_kind":"arxiv_version","alias_value":"1405.5446v1","created_at":"2026-05-18T02:51:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5446","created_at":"2026-05-18T02:51:24Z"},{"alias_kind":"pith_short_12","alias_value":"SRIQEXCERJNR","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SRIQEXCERJNRINEW","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SRIQEXCE","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:468c8ffb3d913122c2aa79bd036dee01b0783d11e0d59306c3ba1c1f07f19f11","target":"graph","created_at":"2026-05-18T02:51:24Z","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 a two dimensional collision problem for a rigid solid immersed in a cavity filled with a perfect fluid. We are led to investigate the asymptotic behavior of the Dirichlet energy associated to the solution of a Laplace Neumann problem as the distance $\\varepsilon>0$ between the solid and the cavity's bottom tends to zero. Denoting by $\\alpha>0$ the tangency exponent at the contact point, we prove that the solid always reaches the cavity in finite time, but with a non zero velocity for $\\alpha <2$ (real shock case), and with null velocity for $\\alpha \\geqslant 2$ (smooth landing case). ","authors_text":"Alexandre Munnier (INRIA Nancy - Grand Est / IECN / LMAM), IECL), Karim Ramdani (INRIA Nancy - Grand Est / IECN / LMAM","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-21T14:57:19Z","title":"Asymptotic analysis of a Neumann problem in a domain with cusp. Application to the collision problem of rigid bodies in a perfect fluid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5446","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":"sha256:938fabe64f9ff7f02a37ace34a839f7a63682b8be8b5a7efafe7fdd14bc24b3e","target":"record","created_at":"2026-05-18T02:51:24Z","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":"9b9566f3ced5987a85beb7096f1ed25bd57d8f2435df8ec3678b1072017c1daa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-21T14:57:19Z","title_canon_sha256":"596587fc503ff28a8a51394ba68d2aa7500d6f1218f22f9b14fc35e3ccf1a84e"},"schema_version":"1.0","source":{"id":"1405.5446","kind":"arxiv","version":1}},"canonical_sha256":"9451025c448a5b1434962deb12621e90fa0c633da33f85dc5338e6bc16be5ad0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9451025c448a5b1434962deb12621e90fa0c633da33f85dc5338e6bc16be5ad0","first_computed_at":"2026-05-18T02:51:24.177705Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:24.177705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SwjivDJZz3B6NSWaTTsui3pK1lGCgwQkg73pvSY/qKmh2ixbupXf5KmmwNa5Ah7CryMqvYdhEDiLknzxBYB7BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:24.178273Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.5446","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:938fabe64f9ff7f02a37ace34a839f7a63682b8be8b5a7efafe7fdd14bc24b3e","sha256:468c8ffb3d913122c2aa79bd036dee01b0783d11e0d59306c3ba1c1f07f19f11"],"state_sha256":"3277352d1258c9e260c98fd068f1f85c38530574a33365eee435ddea14e2662a"}