{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:CPJKRPK3LHLNSF3QOHHTE4XJ2W","short_pith_number":"pith:CPJKRPK3","canonical_record":{"source":{"id":"1801.04802","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-01-15T13:54:23Z","cross_cats_sorted":[],"title_canon_sha256":"44c8ed601ba1178135699af0b155420ab87eb5959de19c1de3befb7471dc694c","abstract_canon_sha256":"4b10ab4aa6a2ad191e31dc33e504949eaa4486b2e5bc63bab2c463741cf46212"},"schema_version":"1.0"},"canonical_sha256":"13d2a8bd5b59d6d9177071cf3272e9d5a863c01ad348ea38422ee355174ed32f","source":{"kind":"arxiv","id":"1801.04802","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.04802","created_at":"2026-05-18T00:26:03Z"},{"alias_kind":"arxiv_version","alias_value":"1801.04802v1","created_at":"2026-05-18T00:26:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04802","created_at":"2026-05-18T00:26:03Z"},{"alias_kind":"pith_short_12","alias_value":"CPJKRPK3LHLN","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CPJKRPK3LHLNSF3Q","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CPJKRPK3","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:CPJKRPK3LHLNSF3QOHHTE4XJ2W","target":"record","payload":{"canonical_record":{"source":{"id":"1801.04802","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-01-15T13:54:23Z","cross_cats_sorted":[],"title_canon_sha256":"44c8ed601ba1178135699af0b155420ab87eb5959de19c1de3befb7471dc694c","abstract_canon_sha256":"4b10ab4aa6a2ad191e31dc33e504949eaa4486b2e5bc63bab2c463741cf46212"},"schema_version":"1.0"},"canonical_sha256":"13d2a8bd5b59d6d9177071cf3272e9d5a863c01ad348ea38422ee355174ed32f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:03.205004Z","signature_b64":"qt9khEge1W52cjMGos9KrVaRi2UzlKgM3iMssGMqa6xR2QUZHPLTdlcsmJZSm7xtOpZi4naNasr8PIcvLsgRCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13d2a8bd5b59d6d9177071cf3272e9d5a863c01ad348ea38422ee355174ed32f","last_reissued_at":"2026-05-18T00:26:03.204278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:03.204278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.04802","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GtxeL90maWqCF3JVnGXxjWoeaOp0nB5LKTw4SY6ivVNs8N/zdh0F7JPm8DPn3sYki/UWNh+b30Td+ol69jTYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T15:15:52.450190Z"},"content_sha256":"7e43debbaa2fd4dee6b92cba3fdfe8ff314068e52b353949a944bfbef4f1966f","schema_version":"1.0","event_id":"sha256:7e43debbaa2fd4dee6b92cba3fdfe8ff314068e52b353949a944bfbef4f1966f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:CPJKRPK3LHLNSF3QOHHTE4XJ2W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coupling of Finite-Element and Plane Waves Discontinuous Galerkin methods for time-harmonic problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Gw\\'ena\\\"el Gabard, Mathieu Gaborit, Olivier Dazel, Peter G\\\"oransson","submitted_at":"2018-01-15T13:54:23Z","abstract_excerpt":"A coupling approach is presented to combine a wave-based method to the standard finite element method. This coupling methodology is presented here for the Helmholtz equation but it can be applied to a wide range of wave propagation problems. While wave-based methods can significantly reduce the computational cost, especially at high frequencies, their efficiency is hindered by the need to use small elements to resolve complex geometric features. This can be alleviated by using a standard Finite-Element Model close to the surfaces to model geometric details and create large, simply-shaped areas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04802","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fWQoITuoUpoj7V2Q025mEZWaAJsV/t+IaP0573Y3r2BfE7GFKNq+imzBF6qbQBKD8d+NDrMZLcQ1QuDUVBbJDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T15:15:52.450555Z"},"content_sha256":"340ecd27852c3bbfd53344e446cdad538602e16f363691eb77b98cbb32ffbfed","schema_version":"1.0","event_id":"sha256:340ecd27852c3bbfd53344e446cdad538602e16f363691eb77b98cbb32ffbfed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CPJKRPK3LHLNSF3QOHHTE4XJ2W/bundle.json","state_url":"https://pith.science/pith/CPJKRPK3LHLNSF3QOHHTE4XJ2W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CPJKRPK3LHLNSF3QOHHTE4XJ2W/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-24T15:15:52Z","links":{"resolver":"https://pith.science/pith/CPJKRPK3LHLNSF3QOHHTE4XJ2W","bundle":"https://pith.science/pith/CPJKRPK3LHLNSF3QOHHTE4XJ2W/bundle.json","state":"https://pith.science/pith/CPJKRPK3LHLNSF3QOHHTE4XJ2W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CPJKRPK3LHLNSF3QOHHTE4XJ2W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CPJKRPK3LHLNSF3QOHHTE4XJ2W","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":"4b10ab4aa6a2ad191e31dc33e504949eaa4486b2e5bc63bab2c463741cf46212","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-01-15T13:54:23Z","title_canon_sha256":"44c8ed601ba1178135699af0b155420ab87eb5959de19c1de3befb7471dc694c"},"schema_version":"1.0","source":{"id":"1801.04802","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.04802","created_at":"2026-05-18T00:26:03Z"},{"alias_kind":"arxiv_version","alias_value":"1801.04802v1","created_at":"2026-05-18T00:26:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04802","created_at":"2026-05-18T00:26:03Z"},{"alias_kind":"pith_short_12","alias_value":"CPJKRPK3LHLN","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CPJKRPK3LHLNSF3Q","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CPJKRPK3","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:340ecd27852c3bbfd53344e446cdad538602e16f363691eb77b98cbb32ffbfed","target":"graph","created_at":"2026-05-18T00:26:03Z","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"},"paper":{"abstract_excerpt":"A coupling approach is presented to combine a wave-based method to the standard finite element method. This coupling methodology is presented here for the Helmholtz equation but it can be applied to a wide range of wave propagation problems. While wave-based methods can significantly reduce the computational cost, especially at high frequencies, their efficiency is hindered by the need to use small elements to resolve complex geometric features. This can be alleviated by using a standard Finite-Element Model close to the surfaces to model geometric details and create large, simply-shaped areas","authors_text":"Gw\\'ena\\\"el Gabard, Mathieu Gaborit, Olivier Dazel, Peter G\\\"oransson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-01-15T13:54:23Z","title":"Coupling of Finite-Element and Plane Waves Discontinuous Galerkin methods for time-harmonic problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04802","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":"sha256:7e43debbaa2fd4dee6b92cba3fdfe8ff314068e52b353949a944bfbef4f1966f","target":"record","created_at":"2026-05-18T00:26:03Z","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":"4b10ab4aa6a2ad191e31dc33e504949eaa4486b2e5bc63bab2c463741cf46212","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-01-15T13:54:23Z","title_canon_sha256":"44c8ed601ba1178135699af0b155420ab87eb5959de19c1de3befb7471dc694c"},"schema_version":"1.0","source":{"id":"1801.04802","kind":"arxiv","version":1}},"canonical_sha256":"13d2a8bd5b59d6d9177071cf3272e9d5a863c01ad348ea38422ee355174ed32f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13d2a8bd5b59d6d9177071cf3272e9d5a863c01ad348ea38422ee355174ed32f","first_computed_at":"2026-05-18T00:26:03.204278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:03.204278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qt9khEge1W52cjMGos9KrVaRi2UzlKgM3iMssGMqa6xR2QUZHPLTdlcsmJZSm7xtOpZi4naNasr8PIcvLsgRCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:03.205004Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.04802","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e43debbaa2fd4dee6b92cba3fdfe8ff314068e52b353949a944bfbef4f1966f","sha256:340ecd27852c3bbfd53344e446cdad538602e16f363691eb77b98cbb32ffbfed"],"state_sha256":"5871ff1bd42f3e01d05ffceef42ad1d72d398a391fd30e5f46d1f4a2a94a9adb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZWEUMEQ8iYqPV+b6tEFmU8jAkIjMwrzCxnCPL53tvdw14EDrPSIVY3y8vhtpWXH+N1TfEV88rmOL1etAZEOpDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T15:15:52.452551Z","bundle_sha256":"d0022c430d056193d383fcded4db611878029a424b13422bf5aeccb6493cfea9"}}