{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:QR7WBIWSNZZAA7PCRKMUWFTTU3","short_pith_number":"pith:QR7WBIWS","schema_version":"1.0","canonical_sha256":"847f60a2d26e72007de28a994b1673a6c90d5467d5e95c42f1766f601eef26bc","source":{"kind":"arxiv","id":"math/0203017","version":1},"attestation_state":"computed","paper":{"title":"On nodal lines of Neumann eigenfunctions","license":"","headline":"","cross_cats":["math.PR"],"primary_cat":"math.AP","authors_text":"Krzysztof Burdzy","submitted_at":"2002-03-02T17:13:29Z","abstract_excerpt":"We present a new method for locating the nodal line of the second eigenfunction for the Neumann problem in a planar domain. The technique is based on the `mirror coupling' of reflected Brownian motions."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"math/0203017","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AP","submitted_at":"2002-03-02T17:13:29Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"1a13aca5ba5580ef107f79564f37bcb2ce9a07547baad4916d8331d4546a22ad","abstract_canon_sha256":"d9327525980d7839b6263f01e2e96070117d8c62b3214b139a33cdaa7580ba9e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:35:57.247572Z","signature_b64":"t0fQaRBxNgTOLyra5740WSR6UqD2zspVR6cKx4Q06XEyXcTUvypl1RBjbyGV/ds3a3MzIANpZ850RZrYCGabDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"847f60a2d26e72007de28a994b1673a6c90d5467d5e95c42f1766f601eef26bc","last_reissued_at":"2026-07-04T14:35:57.247168Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:35:57.247168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On nodal lines of Neumann eigenfunctions","license":"","headline":"","cross_cats":["math.PR"],"primary_cat":"math.AP","authors_text":"Krzysztof Burdzy","submitted_at":"2002-03-02T17:13:29Z","abstract_excerpt":"We present a new method for locating the nodal line of the second eigenfunction for the Neumann problem in a planar domain. The technique is based on the `mirror coupling' of reflected Brownian motions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0203017","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/math/0203017/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0203017","created_at":"2026-07-04T14:35:57.247232+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0203017v1","created_at":"2026-07-04T14:35:57.247232+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0203017","created_at":"2026-07-04T14:35:57.247232+00:00"},{"alias_kind":"pith_short_12","alias_value":"QR7WBIWSNZZA","created_at":"2026-07-04T14:35:57.247232+00:00"},{"alias_kind":"pith_short_16","alias_value":"QR7WBIWSNZZAA7PC","created_at":"2026-07-04T14:35:57.247232+00:00"},{"alias_kind":"pith_short_8","alias_value":"QR7WBIWS","created_at":"2026-07-04T14:35:57.247232+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QR7WBIWSNZZAA7PCRKMUWFTTU3","json":"https://pith.science/pith/QR7WBIWSNZZAA7PCRKMUWFTTU3.json","graph_json":"https://pith.science/api/pith-number/QR7WBIWSNZZAA7PCRKMUWFTTU3/graph.json","events_json":"https://pith.science/api/pith-number/QR7WBIWSNZZAA7PCRKMUWFTTU3/events.json","paper":"https://pith.science/paper/QR7WBIWS"},"agent_actions":{"view_html":"https://pith.science/pith/QR7WBIWSNZZAA7PCRKMUWFTTU3","download_json":"https://pith.science/pith/QR7WBIWSNZZAA7PCRKMUWFTTU3.json","view_paper":"https://pith.science/paper/QR7WBIWS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0203017&json=true","fetch_graph":"https://pith.science/api/pith-number/QR7WBIWSNZZAA7PCRKMUWFTTU3/graph.json","fetch_events":"https://pith.science/api/pith-number/QR7WBIWSNZZAA7PCRKMUWFTTU3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QR7WBIWSNZZAA7PCRKMUWFTTU3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QR7WBIWSNZZAA7PCRKMUWFTTU3/action/storage_attestation","attest_author":"https://pith.science/pith/QR7WBIWSNZZAA7PCRKMUWFTTU3/action/author_attestation","sign_citation":"https://pith.science/pith/QR7WBIWSNZZAA7PCRKMUWFTTU3/action/citation_signature","submit_replication":"https://pith.science/pith/QR7WBIWSNZZAA7PCRKMUWFTTU3/action/replication_record"}},"created_at":"2026-07-04T14:35:57.247232+00:00","updated_at":"2026-07-04T14:35:57.247232+00:00"}