{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KHPSZXGGA5R6MC5NWRXWBKJH3S","short_pith_number":"pith:KHPSZXGG","canonical_record":{"source":{"id":"1408.3144","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-13T21:03:56Z","cross_cats_sorted":[],"title_canon_sha256":"c0d833804aeacf1e504ec9117575f434606facd6aeeeab82ec1bb69b5a77cade","abstract_canon_sha256":"fe75d21c5280c7e37a693046141f7fb9463813b2f9c451f8d1d811f5c6d8ab08"},"schema_version":"1.0"},"canonical_sha256":"51df2cdcc60763e60badb46f60a927dca50a9e841b0d8fb1ecf0a584218c191f","source":{"kind":"arxiv","id":"1408.3144","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.3144","created_at":"2026-05-18T02:45:13Z"},{"alias_kind":"arxiv_version","alias_value":"1408.3144v1","created_at":"2026-05-18T02:45:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.3144","created_at":"2026-05-18T02:45:13Z"},{"alias_kind":"pith_short_12","alias_value":"KHPSZXGGA5R6","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KHPSZXGGA5R6MC5N","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KHPSZXGG","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KHPSZXGGA5R6MC5NWRXWBKJH3S","target":"record","payload":{"canonical_record":{"source":{"id":"1408.3144","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-13T21:03:56Z","cross_cats_sorted":[],"title_canon_sha256":"c0d833804aeacf1e504ec9117575f434606facd6aeeeab82ec1bb69b5a77cade","abstract_canon_sha256":"fe75d21c5280c7e37a693046141f7fb9463813b2f9c451f8d1d811f5c6d8ab08"},"schema_version":"1.0"},"canonical_sha256":"51df2cdcc60763e60badb46f60a927dca50a9e841b0d8fb1ecf0a584218c191f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:13.703532Z","signature_b64":"fma1i6mn4FrrZk2Q1HiVRSJkh28o3OmU1M/TveYejepp5vUFqkYUnOWAOybSELxSJMF225ncq3llv0BZrgVKAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51df2cdcc60763e60badb46f60a927dca50a9e841b0d8fb1ecf0a584218c191f","last_reissued_at":"2026-05-18T02:45:13.702931Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:13.702931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.3144","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":"2026-05-18T02:45:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P/+8K2xbgi/GaX7bjDD67TwTH5PsxgzdYrJ/8G6TRJBaQWpRjxljC2EhWSviieK1j0WuypAmd6e9WlWTOld1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:46:45.585093Z"},"content_sha256":"188ec5bf5364188ab5899dd5d2e8c85e89c648a71f2c8615e915da774c6071af","schema_version":"1.0","event_id":"sha256:188ec5bf5364188ab5899dd5d2e8c85e89c648a71f2c8615e915da774c6071af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KHPSZXGGA5R6MC5NWRXWBKJH3S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compressed Absorbing Boundary Conditions for the Helmholtz Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Rosalie B\\'elanger-Rioux","submitted_at":"2014-08-13T21:03:56Z","abstract_excerpt":"Absorbing layers are sometimes required to be impractically thick in order to offer an accurate approximation of an absorbing boundary condition for the Helmholtz equation in a heterogeneous medium. It is always possible to reduce an absorbing layer to an operator at the boundary by layer-stripping elimination of the exterior unknowns, but the linear algebra involved is costly. We propose to bypass the elimination procedure, and directly fit the surface-to-surface operator in compressed form from a few exterior Helmholtz solves with random Dirichlet data. We obtain a concise description of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.3144","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":"2026-05-18T02:45:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MZSHZjVS6eSCJH/PMow6wPrBZYpu6XKD2ATSFTXzCzrHcZ9VGmPGMZZnL9eE+odE8cJE2ZUtihoL362E+vTLCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:46:45.585760Z"},"content_sha256":"3efe8e8425607b796fa8921b0515ac092a8d86a205621b0c813dbad805bf3710","schema_version":"1.0","event_id":"sha256:3efe8e8425607b796fa8921b0515ac092a8d86a205621b0c813dbad805bf3710"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KHPSZXGGA5R6MC5NWRXWBKJH3S/bundle.json","state_url":"https://pith.science/pith/KHPSZXGGA5R6MC5NWRXWBKJH3S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KHPSZXGGA5R6MC5NWRXWBKJH3S/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":"2026-06-01T12:46:45Z","links":{"resolver":"https://pith.science/pith/KHPSZXGGA5R6MC5NWRXWBKJH3S","bundle":"https://pith.science/pith/KHPSZXGGA5R6MC5NWRXWBKJH3S/bundle.json","state":"https://pith.science/pith/KHPSZXGGA5R6MC5NWRXWBKJH3S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KHPSZXGGA5R6MC5NWRXWBKJH3S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KHPSZXGGA5R6MC5NWRXWBKJH3S","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":"fe75d21c5280c7e37a693046141f7fb9463813b2f9c451f8d1d811f5c6d8ab08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-13T21:03:56Z","title_canon_sha256":"c0d833804aeacf1e504ec9117575f434606facd6aeeeab82ec1bb69b5a77cade"},"schema_version":"1.0","source":{"id":"1408.3144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.3144","created_at":"2026-05-18T02:45:13Z"},{"alias_kind":"arxiv_version","alias_value":"1408.3144v1","created_at":"2026-05-18T02:45:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.3144","created_at":"2026-05-18T02:45:13Z"},{"alias_kind":"pith_short_12","alias_value":"KHPSZXGGA5R6","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KHPSZXGGA5R6MC5N","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KHPSZXGG","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:3efe8e8425607b796fa8921b0515ac092a8d86a205621b0c813dbad805bf3710","target":"graph","created_at":"2026-05-18T02:45:13Z","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":"Absorbing layers are sometimes required to be impractically thick in order to offer an accurate approximation of an absorbing boundary condition for the Helmholtz equation in a heterogeneous medium. It is always possible to reduce an absorbing layer to an operator at the boundary by layer-stripping elimination of the exterior unknowns, but the linear algebra involved is costly. We propose to bypass the elimination procedure, and directly fit the surface-to-surface operator in compressed form from a few exterior Helmholtz solves with random Dirichlet data. We obtain a concise description of the","authors_text":"Rosalie B\\'elanger-Rioux","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-13T21:03:56Z","title":"Compressed Absorbing Boundary Conditions for the Helmholtz Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.3144","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":"sha256:188ec5bf5364188ab5899dd5d2e8c85e89c648a71f2c8615e915da774c6071af","target":"record","created_at":"2026-05-18T02:45:13Z","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":"fe75d21c5280c7e37a693046141f7fb9463813b2f9c451f8d1d811f5c6d8ab08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-13T21:03:56Z","title_canon_sha256":"c0d833804aeacf1e504ec9117575f434606facd6aeeeab82ec1bb69b5a77cade"},"schema_version":"1.0","source":{"id":"1408.3144","kind":"arxiv","version":1}},"canonical_sha256":"51df2cdcc60763e60badb46f60a927dca50a9e841b0d8fb1ecf0a584218c191f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51df2cdcc60763e60badb46f60a927dca50a9e841b0d8fb1ecf0a584218c191f","first_computed_at":"2026-05-18T02:45:13.702931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:13.702931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fma1i6mn4FrrZk2Q1HiVRSJkh28o3OmU1M/TveYejepp5vUFqkYUnOWAOybSELxSJMF225ncq3llv0BZrgVKAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:13.703532Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.3144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:188ec5bf5364188ab5899dd5d2e8c85e89c648a71f2c8615e915da774c6071af","sha256:3efe8e8425607b796fa8921b0515ac092a8d86a205621b0c813dbad805bf3710"],"state_sha256":"ca0f178a16f5f7d1dd6b2368113240a9ee8ecc19f6128b30dde120fb90ba8651"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n8beNBEALb6OnqcRBmzjW2EJy8rHky6zBpWJiPKI2mzYJKwPZdZ8SvIIFNfy7qKkW5T/zOe5TRmqlh12uOmXDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:46:45.588666Z","bundle_sha256":"2439e33020d43a51661fe438d0307daec58558e7e232f2e104a2b397c9117813"}}