{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:N4W4KZFEXW4CY3N5WHPSMM2NHF","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":"d8ad56cae5b5562d3fc602676181c3bbe717db0d4fa1438e66159fdbb0035481","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-08T22:37:32Z","title_canon_sha256":"9f99a7995951e5e72bfb98cff78e6fefa84c01034a1a227b556707d09cf36836"},"schema_version":"1.0","source":{"id":"1307.2292","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.2292","created_at":"2026-05-18T03:18:52Z"},{"alias_kind":"arxiv_version","alias_value":"1307.2292v1","created_at":"2026-05-18T03:18:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2292","created_at":"2026-05-18T03:18:52Z"},{"alias_kind":"pith_short_12","alias_value":"N4W4KZFEXW4C","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"N4W4KZFEXW4CY3N5","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"N4W4KZFE","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:7546ece9820fab171573d99cd63bd0b38ac2abbadfdbea5c23854868d65b79ef","target":"graph","created_at":"2026-05-18T03:18:52Z","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 suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems (\"eikonal coordinates\") on Lagrangian manifolds.","authors_text":"2), 2) ((1) A. Ishlinsky Institute for Problems in Mechanics, (2) Moscow Institute of Physics, (3) Department of Applied Mathematics, 4), (4) Institute of Applied, Computational Mathematics, Crete, Dolgoprudny, Foundation for Research, G. Makrakis (3, Greece, Greece), Heraklion, Moscow, Moscow District, Russia, S. Yu. Dobrokhotov (1, Technology, Technology-Hellas, University of Crete, V. E. Nazaikinskii (1","cross_cats":["math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-08T22:37:32Z","title":"Fourier integrals and a new representation of Maslov's canonical operator near caustics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2292","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:a8416c9b566d87d3adbf505459184c9ab5f1a05458015521c1bb389710e958a9","target":"record","created_at":"2026-05-18T03:18:52Z","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":"d8ad56cae5b5562d3fc602676181c3bbe717db0d4fa1438e66159fdbb0035481","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-08T22:37:32Z","title_canon_sha256":"9f99a7995951e5e72bfb98cff78e6fefa84c01034a1a227b556707d09cf36836"},"schema_version":"1.0","source":{"id":"1307.2292","kind":"arxiv","version":1}},"canonical_sha256":"6f2dc564a4bdb82c6dbdb1df26334d395fdc898e93ea517d33f170fbe5e977d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f2dc564a4bdb82c6dbdb1df26334d395fdc898e93ea517d33f170fbe5e977d8","first_computed_at":"2026-05-18T03:18:52.939843Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:52.939843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/vnU4qElD54m3xp6hBQoGiOtQeYDySs4+gld1tZU5JfLOKFlU9MzhTDVg5Rdt1DI1JDYIJY25UIBvSjteXwhCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:52.940470Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.2292","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8416c9b566d87d3adbf505459184c9ab5f1a05458015521c1bb389710e958a9","sha256:7546ece9820fab171573d99cd63bd0b38ac2abbadfdbea5c23854868d65b79ef"],"state_sha256":"2ca3b01b54aefa76c3128e1625fe79302630fb2cc51ffb0171d848e7b0c7afd0"}