{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:4M7VJ5XVO7TJMAC53SDMYO4ZNZ","short_pith_number":"pith:4M7VJ5XV","schema_version":"1.0","canonical_sha256":"e33f54f6f577e696005ddc86cc3b996e4281cdd8203c361b55d55b5cc86f32a1","source":{"kind":"arxiv","id":"2606.21063","version":1},"attestation_state":"computed","paper":{"title":"Boundary-conformal integration for the invariant-imbedding T-matrix method: high-order convergence for faceted particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.ao-ph","physics.comp-ph"],"primary_cat":"physics.optics","authors_text":"Yu Xiong, Zihua Wu","submitted_at":"2026-06-19T03:28:58Z","abstract_excerpt":"The invariant-imbedding T-matrix method (IITM) is a standard tool for light scattering by large, sharply faceted, non-axisymmetric particles (atmospheric ice crystals and mineral dust) where the surface-based extended boundary condition method loses accuracy. Its accuracy is limited by \"staircasing\": the dielectric contrast of a faceted particle is integrated across boundaries that cut the quadrature grid, so standard quadrature converges at low algebraic order. We show that this non-smoothness has a single geometric origin, the tangencies of the integration sphere to the faces and edges of th"},"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":"2606.21063","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2026-06-19T03:28:58Z","cross_cats_sorted":["physics.ao-ph","physics.comp-ph"],"title_canon_sha256":"05d8888404dfe62869e68ae4ab2821c6e04d64c6ce2221bb535e34aa53f56691","abstract_canon_sha256":"28211f0705f5adda63f347eea28587b3b2f1541fac35faf9c104f36c31a6521c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:12:28.666576Z","signature_b64":"pf6AyB1D6FG2znyzuxxzBn6TVD1A+368NxDu3x10yIGlEbQioTh4fTOQhnLF3h39RznTYAhojENSxj7nf06hCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e33f54f6f577e696005ddc86cc3b996e4281cdd8203c361b55d55b5cc86f32a1","last_reissued_at":"2026-06-23T01:12:28.666032Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:12:28.666032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Boundary-conformal integration for the invariant-imbedding T-matrix method: high-order convergence for faceted particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.ao-ph","physics.comp-ph"],"primary_cat":"physics.optics","authors_text":"Yu Xiong, Zihua Wu","submitted_at":"2026-06-19T03:28:58Z","abstract_excerpt":"The invariant-imbedding T-matrix method (IITM) is a standard tool for light scattering by large, sharply faceted, non-axisymmetric particles (atmospheric ice crystals and mineral dust) where the surface-based extended boundary condition method loses accuracy. Its accuracy is limited by \"staircasing\": the dielectric contrast of a faceted particle is integrated across boundaries that cut the quadrature grid, so standard quadrature converges at low algebraic order. We show that this non-smoothness has a single geometric origin, the tangencies of the integration sphere to the faces and edges of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21063","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/2606.21063/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":"2606.21063","created_at":"2026-06-23T01:12:28.666112+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.21063v1","created_at":"2026-06-23T01:12:28.666112+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21063","created_at":"2026-06-23T01:12:28.666112+00:00"},{"alias_kind":"pith_short_12","alias_value":"4M7VJ5XVO7TJ","created_at":"2026-06-23T01:12:28.666112+00:00"},{"alias_kind":"pith_short_16","alias_value":"4M7VJ5XVO7TJMAC5","created_at":"2026-06-23T01:12:28.666112+00:00"},{"alias_kind":"pith_short_8","alias_value":"4M7VJ5XV","created_at":"2026-06-23T01:12:28.666112+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/4M7VJ5XVO7TJMAC53SDMYO4ZNZ","json":"https://pith.science/pith/4M7VJ5XVO7TJMAC53SDMYO4ZNZ.json","graph_json":"https://pith.science/api/pith-number/4M7VJ5XVO7TJMAC53SDMYO4ZNZ/graph.json","events_json":"https://pith.science/api/pith-number/4M7VJ5XVO7TJMAC53SDMYO4ZNZ/events.json","paper":"https://pith.science/paper/4M7VJ5XV"},"agent_actions":{"view_html":"https://pith.science/pith/4M7VJ5XVO7TJMAC53SDMYO4ZNZ","download_json":"https://pith.science/pith/4M7VJ5XVO7TJMAC53SDMYO4ZNZ.json","view_paper":"https://pith.science/paper/4M7VJ5XV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.21063&json=true","fetch_graph":"https://pith.science/api/pith-number/4M7VJ5XVO7TJMAC53SDMYO4ZNZ/graph.json","fetch_events":"https://pith.science/api/pith-number/4M7VJ5XVO7TJMAC53SDMYO4ZNZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4M7VJ5XVO7TJMAC53SDMYO4ZNZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4M7VJ5XVO7TJMAC53SDMYO4ZNZ/action/storage_attestation","attest_author":"https://pith.science/pith/4M7VJ5XVO7TJMAC53SDMYO4ZNZ/action/author_attestation","sign_citation":"https://pith.science/pith/4M7VJ5XVO7TJMAC53SDMYO4ZNZ/action/citation_signature","submit_replication":"https://pith.science/pith/4M7VJ5XVO7TJMAC53SDMYO4ZNZ/action/replication_record"}},"created_at":"2026-06-23T01:12:28.666112+00:00","updated_at":"2026-06-23T01:12:28.666112+00:00"}