{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:LA3MTMEGVM7AQVPOLGQCEZQKBU","short_pith_number":"pith:LA3MTMEG","schema_version":"1.0","canonical_sha256":"5836c9b086ab3e0855ee59a022660a0d187914f6665bcf4cea9b561922e7a87e","source":{"kind":"arxiv","id":"1406.0224","version":1},"attestation_state":"computed","paper":{"title":"A \"Trefftz Machine\" for Absorbing Boundary Conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Igor Tsukerman","submitted_at":"2014-06-02T00:44:01Z","abstract_excerpt":"The paper presents an automatic generator of approximate nonreflecting boundary conditions, analytical and numerical, for scalar wave equations. This generator has two main ingredients. The first one is a set of local Trefftz functions -- outgoing waves approximating the solution in the vicinity of a given point of the exterior boundary of the computational domain. The second ingredient is a set of linear test functionals (degrees of freedom). One example of such functionals is the nodal values of the solution at a set of grid points; in that case, one obtains a numerical condition -- a finite"},"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":"1406.0224","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-06-02T00:44:01Z","cross_cats_sorted":[],"title_canon_sha256":"7d8b26e7c94f85ed0fe98a3e63a8ff813e2f68ddfa1aef0c440b8d05c2295c58","abstract_canon_sha256":"76d804c0b8968bf6986a883b67827902b18467295848534a349f1cdb8ecc763d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:41.450553Z","signature_b64":"RC4u7l779KBfSld0neqzlC4SctnPWHI8dNP94OleH4bPw+8abt1dFfs/IMqXVlYasf1fc+CADqqtjRlvzD0xCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5836c9b086ab3e0855ee59a022660a0d187914f6665bcf4cea9b561922e7a87e","last_reissued_at":"2026-05-18T02:50:41.449916Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:41.449916Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A \"Trefftz Machine\" for Absorbing Boundary Conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Igor Tsukerman","submitted_at":"2014-06-02T00:44:01Z","abstract_excerpt":"The paper presents an automatic generator of approximate nonreflecting boundary conditions, analytical and numerical, for scalar wave equations. This generator has two main ingredients. The first one is a set of local Trefftz functions -- outgoing waves approximating the solution in the vicinity of a given point of the exterior boundary of the computational domain. The second ingredient is a set of linear test functionals (degrees of freedom). One example of such functionals is the nodal values of the solution at a set of grid points; in that case, one obtains a numerical condition -- a finite"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0224","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":""},"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":"1406.0224","created_at":"2026-05-18T02:50:41.450014+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.0224v1","created_at":"2026-05-18T02:50:41.450014+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0224","created_at":"2026-05-18T02:50:41.450014+00:00"},{"alias_kind":"pith_short_12","alias_value":"LA3MTMEGVM7A","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"LA3MTMEGVM7AQVPO","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"LA3MTMEG","created_at":"2026-05-18T12:28:35.611951+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/LA3MTMEGVM7AQVPOLGQCEZQKBU","json":"https://pith.science/pith/LA3MTMEGVM7AQVPOLGQCEZQKBU.json","graph_json":"https://pith.science/api/pith-number/LA3MTMEGVM7AQVPOLGQCEZQKBU/graph.json","events_json":"https://pith.science/api/pith-number/LA3MTMEGVM7AQVPOLGQCEZQKBU/events.json","paper":"https://pith.science/paper/LA3MTMEG"},"agent_actions":{"view_html":"https://pith.science/pith/LA3MTMEGVM7AQVPOLGQCEZQKBU","download_json":"https://pith.science/pith/LA3MTMEGVM7AQVPOLGQCEZQKBU.json","view_paper":"https://pith.science/paper/LA3MTMEG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.0224&json=true","fetch_graph":"https://pith.science/api/pith-number/LA3MTMEGVM7AQVPOLGQCEZQKBU/graph.json","fetch_events":"https://pith.science/api/pith-number/LA3MTMEGVM7AQVPOLGQCEZQKBU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LA3MTMEGVM7AQVPOLGQCEZQKBU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LA3MTMEGVM7AQVPOLGQCEZQKBU/action/storage_attestation","attest_author":"https://pith.science/pith/LA3MTMEGVM7AQVPOLGQCEZQKBU/action/author_attestation","sign_citation":"https://pith.science/pith/LA3MTMEGVM7AQVPOLGQCEZQKBU/action/citation_signature","submit_replication":"https://pith.science/pith/LA3MTMEGVM7AQVPOLGQCEZQKBU/action/replication_record"}},"created_at":"2026-05-18T02:50:41.450014+00:00","updated_at":"2026-05-18T02:50:41.450014+00:00"}