{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BE3ZXBZNF4D62O57TLGRUPCAUJ","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":"8cf4bad17026c63b6f0f5fea2aeb2ea5d9f9c5941171355f2f06c8673d8b17e7","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-08T12:29:48Z","title_canon_sha256":"29fde8088267532752abd198fff7ae81a43de19a1cd4ff2a31e195026a8ab337"},"schema_version":"1.0","source":{"id":"1405.1903","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1903","created_at":"2026-05-18T02:38:09Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1903v2","created_at":"2026-05-18T02:38:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1903","created_at":"2026-05-18T02:38:09Z"},{"alias_kind":"pith_short_12","alias_value":"BE3ZXBZNF4D6","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BE3ZXBZNF4D62O57","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BE3ZXBZN","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:f23fab79217d30cd17ce381bdb8ce08fc9c19b40972781d4fd747aea742a3543","target":"graph","created_at":"2026-05-18T02:38:09Z","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 nodal sets of non-degenerate eigenfunctions of the Laplacian on fibre bundles $\\pi{:}\\, M\\to B$ in the adiabatic limit. This limit consists in considering a family $G_\\varepsilon$ of Riemannian metrics, that are close to Riemannian submersions, for which the ratio of the diameter of the fibres to that of the base is given by $\\varepsilon \\ll 1$.\n  We assume $M$ to be compact and allow for fibres $F$ with boundary, under the condition that the ground state eigenvalue of the Dirichlet-Laplacian on $F_x$ is independent of the base point. We prove for $\\mathrm{dim} B \\leq 3$ that the ","authors_text":"Jonas Lampart","cross_cats":["math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-08T12:29:48Z","title":"Convergence of nodal sets in the adiabatic limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1903","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":"sha256:7254fa49ff49cd792fe01e368d1a8810c20ee855f30b252d39817edb91ce0337","target":"record","created_at":"2026-05-18T02:38:09Z","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":"8cf4bad17026c63b6f0f5fea2aeb2ea5d9f9c5941171355f2f06c8673d8b17e7","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-08T12:29:48Z","title_canon_sha256":"29fde8088267532752abd198fff7ae81a43de19a1cd4ff2a31e195026a8ab337"},"schema_version":"1.0","source":{"id":"1405.1903","kind":"arxiv","version":2}},"canonical_sha256":"09379b872d2f07ed3bbf9acd1a3c40a25f61b6352b1aefa5dfb1ba02173092b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09379b872d2f07ed3bbf9acd1a3c40a25f61b6352b1aefa5dfb1ba02173092b5","first_computed_at":"2026-05-18T02:38:09.947840Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:09.947840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wsCuwSZDFZRMujNVQcb+Hx/a2nIJPRe5FFkWp2w6Jfo/jGixLLKicsnmYz256gByFoUYNXZybr1UZnbTJ5EHBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:09.948517Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.1903","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7254fa49ff49cd792fe01e368d1a8810c20ee855f30b252d39817edb91ce0337","sha256:f23fab79217d30cd17ce381bdb8ce08fc9c19b40972781d4fd747aea742a3543"],"state_sha256":"52bf4fb84970484039a0698a4b775776f1b3c4603f26dd19229d3c53b8c4b3fd"}