{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZXVTASPNK55FPAKNF227QLOVTO","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":"c1b5e732a67b0153be9b3eed9af6364de79a9c2cc467e0be8b16d0e7379cd494","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-04-07T08:32:05Z","title_canon_sha256":"197221e4a93a7c5929c87cc69ddea02cb6ab4f46915fd6a06fdd05b72622f712"},"schema_version":"1.0","source":{"id":"1004.1025","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1025","created_at":"2026-06-03T23:06:35Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1025v1","created_at":"2026-06-03T23:06:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1025","created_at":"2026-06-03T23:06:35Z"},{"alias_kind":"pith_short_12","alias_value":"ZXVTASPNK55F","created_at":"2026-06-03T23:06:35Z"},{"alias_kind":"pith_short_16","alias_value":"ZXVTASPNK55FPAKN","created_at":"2026-06-03T23:06:35Z"},{"alias_kind":"pith_short_8","alias_value":"ZXVTASPN","created_at":"2026-06-03T23:06:35Z"}],"graph_snapshots":[{"event_id":"sha256:5767ed5396f3cc1b60a8379565db613fdee49698f8c9ce5052ec33ef01beb018","target":"graph","created_at":"2026-06-03T23:06:35Z","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/1004.1025/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper introduces a class of approximate transparent boundary conditions for the solution of Helmholtz-type resonance and scattering problems on unbounded domains. The computational domain is assumed to be a polygon. A detailed description of two variants of the Hardy space infinite element method which relays on the pole condition is given. The method can treat waveguide-type inhomogeneities in the domain with non-compact support. The results of the Hardy space infinite element method are compared to a perfectly matched layer method. Numerical experiments indicate that the approximation e","authors_text":"Achim Sch\\\"adle, Lothar Nannen","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-04-07T08:32:05Z","title":"Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1025","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":"sha256:6c319726d8d6a683bdaee49bd9e40f937c7d0abbf360437e55257ce96aa19406","target":"record","created_at":"2026-06-03T23:06:35Z","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":"c1b5e732a67b0153be9b3eed9af6364de79a9c2cc467e0be8b16d0e7379cd494","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-04-07T08:32:05Z","title_canon_sha256":"197221e4a93a7c5929c87cc69ddea02cb6ab4f46915fd6a06fdd05b72622f712"},"schema_version":"1.0","source":{"id":"1004.1025","kind":"arxiv","version":1}},"canonical_sha256":"cdeb3049ed577a57814d2eb5f82dd59bad7a847d82c4b9ad6e3442e0a54b9ff9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdeb3049ed577a57814d2eb5f82dd59bad7a847d82c4b9ad6e3442e0a54b9ff9","first_computed_at":"2026-06-03T23:06:35.204012Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T23:06:35.204012Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9KZPtqgvmJY+i5qidHuLNoBgt9T6kPwG9hARwV8CRCfvwHvhOomZUzDdPEOeNP0sIROlEqD7+oVMcisahscDAA==","signature_status":"signed_v1","signed_at":"2026-06-03T23:06:35.204448Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.1025","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c319726d8d6a683bdaee49bd9e40f937c7d0abbf360437e55257ce96aa19406","sha256:5767ed5396f3cc1b60a8379565db613fdee49698f8c9ce5052ec33ef01beb018"],"state_sha256":"90086d23b5d72d30997165453690d6eebc5ce548580307fe777052eb586eec9a"}