{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:SLH7YJCBHUWLDYDT5O7B2CJDD7","short_pith_number":"pith:SLH7YJCB","schema_version":"1.0","canonical_sha256":"92cffc24413d2cb1e073ebbe1d09231ff31aec7cb5367134d431a45a8c638826","source":{"kind":"arxiv","id":"2608.06139","version":1},"attestation_state":"computed","paper":{"title":"Explicit and Stable Pseudospectral Time-Domain Method for the F\\\"oppl-von K\\'arm\\'an Equations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cs.SD","authors_text":"Stefan Bilbao, Victor Zheleznov","submitted_at":"2026-08-06T15:09:38Z","abstract_excerpt":"Modal synthesis is a widely-used technique for simulation of musical instrument dynamics. In the linear case, a modal decomposition leads to an uncoupled system of damped and forced harmonic oscillators which can be efficiently solved by standard time-stepping methods. However, extensions to nonlinear problems are challenging due to the presence of products of modal expansions in the governing equations. In the case of the F\\\"oppl-von K\\'arm\\'an plate, the nonlinear coupling between the modes is described by a fourth-order tensor and is prohibitively expensive to evaluate in the modal domain. "},"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":"2608.06139","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SD","submitted_at":"2026-08-06T15:09:38Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"e8a28e6c3908dce17292fc992137bf42867ca69a1be2c035f7d06f935311e7c3","abstract_canon_sha256":"d581a2905fa7802caf73e46f261baef803eb859d9e5b46184b03df4edd9ab509"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-07T01:40:46.442359Z","signature_b64":"08rp8OVSgRYVzZ4BT6x0FHzytTdJKJPO19iw10Mp6ReLWFrmmWfDtD5RO+b0GYuHaIYuK58D+AoftuVrFf8jBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92cffc24413d2cb1e073ebbe1d09231ff31aec7cb5367134d431a45a8c638826","last_reissued_at":"2026-08-07T01:40:46.440656Z","signature_status":"signed_v1","first_computed_at":"2026-08-07T01:40:46.440656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Explicit and Stable Pseudospectral Time-Domain Method for the F\\\"oppl-von K\\'arm\\'an Equations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cs.SD","authors_text":"Stefan Bilbao, Victor Zheleznov","submitted_at":"2026-08-06T15:09:38Z","abstract_excerpt":"Modal synthesis is a widely-used technique for simulation of musical instrument dynamics. In the linear case, a modal decomposition leads to an uncoupled system of damped and forced harmonic oscillators which can be efficiently solved by standard time-stepping methods. However, extensions to nonlinear problems are challenging due to the presence of products of modal expansions in the governing equations. In the case of the F\\\"oppl-von K\\'arm\\'an plate, the nonlinear coupling between the modes is described by a fourth-order tensor and is prohibitively expensive to evaluate in the modal domain. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.06139","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/2608.06139/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":"2608.06139","created_at":"2026-08-07T01:40:46.443231+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.06139v1","created_at":"2026-08-07T01:40:46.443231+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.06139","created_at":"2026-08-07T01:40:46.443231+00:00"},{"alias_kind":"pith_short_12","alias_value":"SLH7YJCBHUWL","created_at":"2026-08-07T01:40:46.443231+00:00"},{"alias_kind":"pith_short_16","alias_value":"SLH7YJCBHUWLDYDT","created_at":"2026-08-07T01:40:46.443231+00:00"},{"alias_kind":"pith_short_8","alias_value":"SLH7YJCB","created_at":"2026-08-07T01:40:46.443231+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/SLH7YJCBHUWLDYDT5O7B2CJDD7","json":"https://pith.science/pith/SLH7YJCBHUWLDYDT5O7B2CJDD7.json","graph_json":"https://pith.science/api/pith-number/SLH7YJCBHUWLDYDT5O7B2CJDD7/graph.json","events_json":"https://pith.science/api/pith-number/SLH7YJCBHUWLDYDT5O7B2CJDD7/events.json","paper":"https://pith.science/paper/SLH7YJCB"},"agent_actions":{"view_html":"https://pith.science/pith/SLH7YJCBHUWLDYDT5O7B2CJDD7","download_json":"https://pith.science/pith/SLH7YJCBHUWLDYDT5O7B2CJDD7.json","view_paper":"https://pith.science/paper/SLH7YJCB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.06139&json=true","fetch_graph":"https://pith.science/api/pith-number/SLH7YJCBHUWLDYDT5O7B2CJDD7/graph.json","fetch_events":"https://pith.science/api/pith-number/SLH7YJCBHUWLDYDT5O7B2CJDD7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SLH7YJCBHUWLDYDT5O7B2CJDD7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SLH7YJCBHUWLDYDT5O7B2CJDD7/action/storage_attestation","attest_author":"https://pith.science/pith/SLH7YJCBHUWLDYDT5O7B2CJDD7/action/author_attestation","sign_citation":"https://pith.science/pith/SLH7YJCBHUWLDYDT5O7B2CJDD7/action/citation_signature","submit_replication":"https://pith.science/pith/SLH7YJCBHUWLDYDT5O7B2CJDD7/action/replication_record"}},"created_at":"2026-08-07T01:40:46.443231+00:00","updated_at":"2026-08-07T01:40:46.443231+00:00"}