{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:KJ7C67RJT3FNXTC3YDMRV6OIGH","short_pith_number":"pith:KJ7C67RJ","schema_version":"1.0","canonical_sha256":"527e2f7e299ecadbcc5bc0d91af9c831daa36b7e2ac224fb47d9e99bad75b943","source":{"kind":"arxiv","id":"2605.28415","version":1},"attestation_state":"computed","paper":{"title":"Statistical comparison of reconstruction methods for the inverse boundary problem of the one-dimensional wave equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP"],"primary_cat":"math.NA","authors_text":"Emilia Bl{\\aa}sten, Samuel Agenorwoth","submitted_at":"2026-05-27T12:49:38Z","abstract_excerpt":"Several numerical reconstruction algorithms for the inverse boundary value problem of the 1-dimensional wave equation exist. In this paper we revisit two of them, the Sondhi-Gopinath (SG) method from 1971 and the Korpela-Lassas-Oksanen (KLO) method from 2016. The former is stable enough that it was used in practical applications. The latter has a regularisation scheme with a theoretical proof, and is an evolution of the boundary control method. Both are based on the idea of constructing solutions that are characteristic functions of a set at a given time. This similarity has been pointed out b"},"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":"2605.28415","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-05-27T12:49:38Z","cross_cats_sorted":["cs.NA","math.AP"],"title_canon_sha256":"c3d79b83866697c72106d146a22068e803093704ba9fedc8006211f9eb7c45fa","abstract_canon_sha256":"cd0b6a821876f0587504788020b3eec5deab23715882d140a8e5c0670d67c4bf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-28T01:05:17.574585Z","signature_b64":"en+D/1pexi3PhR4bXH20cUurvpme5utY9mS+jzQwPRZiKbjdThgb+hmap3ekgoKPL3YsdTXpFiryWDb+OjwiCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"527e2f7e299ecadbcc5bc0d91af9c831daa36b7e2ac224fb47d9e99bad75b943","last_reissued_at":"2026-05-28T01:05:17.571287Z","signature_status":"signed_v1","first_computed_at":"2026-05-28T01:05:17.571287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Statistical comparison of reconstruction methods for the inverse boundary problem of the one-dimensional wave equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP"],"primary_cat":"math.NA","authors_text":"Emilia Bl{\\aa}sten, Samuel Agenorwoth","submitted_at":"2026-05-27T12:49:38Z","abstract_excerpt":"Several numerical reconstruction algorithms for the inverse boundary value problem of the 1-dimensional wave equation exist. In this paper we revisit two of them, the Sondhi-Gopinath (SG) method from 1971 and the Korpela-Lassas-Oksanen (KLO) method from 2016. The former is stable enough that it was used in practical applications. The latter has a regularisation scheme with a theoretical proof, and is an evolution of the boundary control method. Both are based on the idea of constructing solutions that are characteristic functions of a set at a given time. This similarity has been pointed out b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.28415","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/2605.28415/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":"2605.28415","created_at":"2026-05-28T01:05:17.571363+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.28415v1","created_at":"2026-05-28T01:05:17.571363+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.28415","created_at":"2026-05-28T01:05:17.571363+00:00"},{"alias_kind":"pith_short_12","alias_value":"KJ7C67RJT3FN","created_at":"2026-05-28T01:05:17.571363+00:00"},{"alias_kind":"pith_short_16","alias_value":"KJ7C67RJT3FNXTC3","created_at":"2026-05-28T01:05:17.571363+00:00"},{"alias_kind":"pith_short_8","alias_value":"KJ7C67RJ","created_at":"2026-05-28T01:05:17.571363+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/KJ7C67RJT3FNXTC3YDMRV6OIGH","json":"https://pith.science/pith/KJ7C67RJT3FNXTC3YDMRV6OIGH.json","graph_json":"https://pith.science/api/pith-number/KJ7C67RJT3FNXTC3YDMRV6OIGH/graph.json","events_json":"https://pith.science/api/pith-number/KJ7C67RJT3FNXTC3YDMRV6OIGH/events.json","paper":"https://pith.science/paper/KJ7C67RJ"},"agent_actions":{"view_html":"https://pith.science/pith/KJ7C67RJT3FNXTC3YDMRV6OIGH","download_json":"https://pith.science/pith/KJ7C67RJT3FNXTC3YDMRV6OIGH.json","view_paper":"https://pith.science/paper/KJ7C67RJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.28415&json=true","fetch_graph":"https://pith.science/api/pith-number/KJ7C67RJT3FNXTC3YDMRV6OIGH/graph.json","fetch_events":"https://pith.science/api/pith-number/KJ7C67RJT3FNXTC3YDMRV6OIGH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KJ7C67RJT3FNXTC3YDMRV6OIGH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KJ7C67RJT3FNXTC3YDMRV6OIGH/action/storage_attestation","attest_author":"https://pith.science/pith/KJ7C67RJT3FNXTC3YDMRV6OIGH/action/author_attestation","sign_citation":"https://pith.science/pith/KJ7C67RJT3FNXTC3YDMRV6OIGH/action/citation_signature","submit_replication":"https://pith.science/pith/KJ7C67RJT3FNXTC3YDMRV6OIGH/action/replication_record"}},"created_at":"2026-05-28T01:05:17.571363+00:00","updated_at":"2026-05-28T01:05:17.571363+00:00"}