{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:I7G3QJGMY5RTMRAPHQCU7Y7DH2","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":"b9be0be003e39570830c1a4aca6a8e4c18f8d9138b1c17d702aa52abf26e00f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-24T03:11:20Z","title_canon_sha256":"7df625566dea561988583267d437d0102be1682ab9413723d7e49901bc75cd04"},"schema_version":"1.0","source":{"id":"1412.7592","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7592","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7592v1","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7592","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"pith_short_12","alias_value":"I7G3QJGMY5RT","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"I7G3QJGMY5RTMRAP","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"I7G3QJGM","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:0784efea4043a4d4be645ecfcb8d5e63579f91583548a2b0671cac9fad104d48","target":"graph","created_at":"2026-05-18T02:30:33Z","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":"In a recent preprint, we showed that for the Dirichlet Laplacian $\\Delta$ on the unit disk, the wave trace ${Tr}(e^{it\\sqrt{\\Delta}})$, which has complicated singularities on $2\\pi - \\epsilon < t < 2\\pi$, is, on the interval $2\\pi < t < 2\\pi + \\epsilon$, the restriction to this interval of a $C^\\infty$ function on its closure. In this paper we prove the analogue of this somewhat counter-intuitive result for the Friedlander model. The proof for the Friedlander model is simpler and more transparent than in the case of the unit disk.","authors_text":"David Jerison, Victor Guillemin, Yves Colin de Verdiere","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-24T03:11:20Z","title":"Singularities of the wave trace for the Friedlander model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7592","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":"sha256:108d61cbe06a528b9e1e9beb71957f905a0430ffc067e5387ceb98bd401f90df","target":"record","created_at":"2026-05-18T02:30:33Z","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":"b9be0be003e39570830c1a4aca6a8e4c18f8d9138b1c17d702aa52abf26e00f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-24T03:11:20Z","title_canon_sha256":"7df625566dea561988583267d437d0102be1682ab9413723d7e49901bc75cd04"},"schema_version":"1.0","source":{"id":"1412.7592","kind":"arxiv","version":1}},"canonical_sha256":"47cdb824ccc76336440f3c054fe3e33e9e9c029bff70f53b8680a7f8df7a83e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47cdb824ccc76336440f3c054fe3e33e9e9c029bff70f53b8680a7f8df7a83e0","first_computed_at":"2026-05-18T02:30:33.449665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:33.449665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"weHb2JLxYJmGXVB5zDXdyy8c/t1a4imFlCZMq1gtps345wtMlQutJR8BhQSmxvLlK3q7dOipJoIAqujUAflKDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:33.450250Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.7592","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:108d61cbe06a528b9e1e9beb71957f905a0430ffc067e5387ceb98bd401f90df","sha256:0784efea4043a4d4be645ecfcb8d5e63579f91583548a2b0671cac9fad104d48"],"state_sha256":"3f5253ca43899e4494bf05c1cc34a2cdf2c1bebc5f496e8a66e47d08cea4bb8b"}