{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UYQ4YSAF37D4BFK2GM6EGQOSLG","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":"9877fb95d6f37dea22cc840c34c6f504941d10fed6ef13a6bb1a34c3b6f779c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-23T16:58:37Z","title_canon_sha256":"3e73c306d2b46ad374835a998c503c7378ebffcbf57805a82dac49851750844a"},"schema_version":"1.0","source":{"id":"2605.24658","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.24658","created_at":"2026-05-26T01:03:51Z"},{"alias_kind":"arxiv_version","alias_value":"2605.24658v1","created_at":"2026-05-26T01:03:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.24658","created_at":"2026-05-26T01:03:51Z"},{"alias_kind":"pith_short_12","alias_value":"UYQ4YSAF37D4","created_at":"2026-05-26T01:03:51Z"},{"alias_kind":"pith_short_16","alias_value":"UYQ4YSAF37D4BFK2","created_at":"2026-05-26T01:03:51Z"},{"alias_kind":"pith_short_8","alias_value":"UYQ4YSAF","created_at":"2026-05-26T01:03:51Z"}],"graph_snapshots":[{"event_id":"sha256:ddda4448492f3cf4c9aa50197cf82876a62cdbc2be389557bee138372ddaa4a3","target":"graph","created_at":"2026-05-26T01:03:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.24658/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work introduces the Wavelet-Laplace Neural Operator (WLNO), a novel neural operator that fuses Haar wavelet multi-scale spatial decomposition with the Laplace-domain pole-residue formulation of the Laplace Neural Operator (LNO). While LNO captures transient and steady-state dynamics through learnable system poles and residues, it lacks an explicit mechanism for extracting spatially localized multi-scale features inherent in complex PDE solutions. WLNO addresses this by augmenting the LNO core with a parallel single-level Haar discrete wavelet transform (DWT) branch that decomposes the lif","authors_text":"Arth Sojitra, Muhammad Abid, Omer San","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-23T16:58:37Z","title":"WLNO: Wavelet-Laplace Neural Operator for Solving Partial Differential Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.24658","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:f8d0e7c995bea11e8d05ce6825848672fa417ec2b6264999bf50676ad9518e21","target":"record","created_at":"2026-05-26T01:03:51Z","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":"9877fb95d6f37dea22cc840c34c6f504941d10fed6ef13a6bb1a34c3b6f779c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-23T16:58:37Z","title_canon_sha256":"3e73c306d2b46ad374835a998c503c7378ebffcbf57805a82dac49851750844a"},"schema_version":"1.0","source":{"id":"2605.24658","kind":"arxiv","version":1}},"canonical_sha256":"a621cc4805dfc7c0955a333c4341d25998076c9d90502339d30fef9b1590dfb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a621cc4805dfc7c0955a333c4341d25998076c9d90502339d30fef9b1590dfb9","first_computed_at":"2026-05-26T01:03:51.650261Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T01:03:51.650261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q6mYjk+55rRB69hUadja+XpqB8O3q7ChUGmZZ7EvLVI74YOh3U1TduY3y9pw0dgzsmoZHKxAAR2U+80KgCU/Bg==","signature_status":"signed_v1","signed_at":"2026-05-26T01:03:51.651138Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.24658","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8d0e7c995bea11e8d05ce6825848672fa417ec2b6264999bf50676ad9518e21","sha256:ddda4448492f3cf4c9aa50197cf82876a62cdbc2be389557bee138372ddaa4a3"],"state_sha256":"2b0cc762a9a4039de11cd4af0dfa4aa086e04633e85a13f8ed10530c3da77f75"}