{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:A4AOC25XT2LC5ENIY2LBTCJ6HN","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":"e094b25256ee3c4e806c8a84859264b3035c1e708f8611478efb62c11b8ea5fa","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-17T08:20:47Z","title_canon_sha256":"1b09390b5d121f694fa90129fb69123ba809467a3c6681c71f547879a74699c2"},"schema_version":"1.0","source":{"id":"1702.05252","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.05252","created_at":"2026-05-18T00:50:32Z"},{"alias_kind":"arxiv_version","alias_value":"1702.05252v1","created_at":"2026-05-18T00:50:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.05252","created_at":"2026-05-18T00:50:32Z"},{"alias_kind":"pith_short_12","alias_value":"A4AOC25XT2LC","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"A4AOC25XT2LC5ENI","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"A4AOC25X","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:c6561202715d08c683b92189c107c84aa8c98f43d68cbf82f15107bf83485761","target":"graph","created_at":"2026-05-18T00:50:32Z","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 consider methods for constructing explicit solutions of the non-stationary Lam\\'e equation, which is a generalization of the classical Lam\\'e equation, that has appeared in works on integrable models, conformal field theory, high energy physics and representation theory. We also present a general method for constructing integral representations of solutions to the non-stationary Lam\\'e equation by a recursive scheme. Explicit integral representations, for special values of the model parameters, are also presented. Our approach is based on kernel function methods which can be naturally gener","authors_text":"Farrokh Atai","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-17T08:20:47Z","title":"Integral representation of solution to the non-stationary Lam\\'e equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05252","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":"sha256:77d3aba4cfa0c71c27bd8da2b2cb7dcaa1c254610cd1196f357b6743c3269822","target":"record","created_at":"2026-05-18T00:50:32Z","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":"e094b25256ee3c4e806c8a84859264b3035c1e708f8611478efb62c11b8ea5fa","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-17T08:20:47Z","title_canon_sha256":"1b09390b5d121f694fa90129fb69123ba809467a3c6681c71f547879a74699c2"},"schema_version":"1.0","source":{"id":"1702.05252","kind":"arxiv","version":1}},"canonical_sha256":"0700e16bb79e962e91a8c69619893e3b6c34a10f59d7316ec3ee0c7fc19ae853","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0700e16bb79e962e91a8c69619893e3b6c34a10f59d7316ec3ee0c7fc19ae853","first_computed_at":"2026-05-18T00:50:32.225921Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:32.225921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WpF+2e2knAmrTOmBpxCJd/E479Oqqv62yHWRs53/GyGxn4yrwghqBj/qVFgtXPsisP4k5KkIxqVLtI/FJIxGAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:32.226669Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.05252","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77d3aba4cfa0c71c27bd8da2b2cb7dcaa1c254610cd1196f357b6743c3269822","sha256:c6561202715d08c683b92189c107c84aa8c98f43d68cbf82f15107bf83485761"],"state_sha256":"cf00ed9108f830ed3b2416eef819a66ad36a8d25c5fef04f97cc1d6147d619da"}