{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:QXVNAMS56NPPHLOZVMQUZJSEAO","short_pith_number":"pith:QXVNAMS5","schema_version":"1.0","canonical_sha256":"85ead0325df35ef3add9ab214ca6440390c288b389c9cca0b0407459e64a782d","source":{"kind":"arxiv","id":"1506.09014","version":1},"attestation_state":"computed","paper":{"title":"Iterative reconstruction of the wavespeed for the wave equation with bounded frequency boundary data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kiril Datchev, Maarten V. de Hoop","submitted_at":"2015-06-30T10:01:16Z","abstract_excerpt":"We study the inverse boundary value problem for the wave equation using the single-layer potential operator as the data. We assume that the data have frequency content in a bounded interval. We prove how to choose classes of nonsmooth coefficient functions so that optimization formulations of inverse wave problems satisfy the prerequisites for application of steepest descent and Newton-type iterative methods."},"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":"1506.09014","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-30T10:01:16Z","cross_cats_sorted":[],"title_canon_sha256":"874a96054003f163047448351d6cfee68ec030c20c043fb835704d999985d924","abstract_canon_sha256":"82ae4b9386fc0fa73beda89bb9de9399fa4f5cd9186e584678c34ef85ccd9bab"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:42.693226Z","signature_b64":"r1+yT+ty8q69d3LYW6moQM4rgpD45NnyyGDl4e3N1BlccJwx1EpxKrJgmJQdxvWDEdoNZ/Uzq4Bn5+DzRyZ+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85ead0325df35ef3add9ab214ca6440390c288b389c9cca0b0407459e64a782d","last_reissued_at":"2026-05-18T00:44:42.692840Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:42.692840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Iterative reconstruction of the wavespeed for the wave equation with bounded frequency boundary data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kiril Datchev, Maarten V. de Hoop","submitted_at":"2015-06-30T10:01:16Z","abstract_excerpt":"We study the inverse boundary value problem for the wave equation using the single-layer potential operator as the data. We assume that the data have frequency content in a bounded interval. We prove how to choose classes of nonsmooth coefficient functions so that optimization formulations of inverse wave problems satisfy the prerequisites for application of steepest descent and Newton-type iterative methods."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.09014","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":"1506.09014","created_at":"2026-05-18T00:44:42.692908+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.09014v1","created_at":"2026-05-18T00:44:42.692908+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.09014","created_at":"2026-05-18T00:44:42.692908+00:00"},{"alias_kind":"pith_short_12","alias_value":"QXVNAMS56NPP","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"QXVNAMS56NPPHLOZ","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"QXVNAMS5","created_at":"2026-05-18T12:29:39.896362+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/QXVNAMS56NPPHLOZVMQUZJSEAO","json":"https://pith.science/pith/QXVNAMS56NPPHLOZVMQUZJSEAO.json","graph_json":"https://pith.science/api/pith-number/QXVNAMS56NPPHLOZVMQUZJSEAO/graph.json","events_json":"https://pith.science/api/pith-number/QXVNAMS56NPPHLOZVMQUZJSEAO/events.json","paper":"https://pith.science/paper/QXVNAMS5"},"agent_actions":{"view_html":"https://pith.science/pith/QXVNAMS56NPPHLOZVMQUZJSEAO","download_json":"https://pith.science/pith/QXVNAMS56NPPHLOZVMQUZJSEAO.json","view_paper":"https://pith.science/paper/QXVNAMS5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.09014&json=true","fetch_graph":"https://pith.science/api/pith-number/QXVNAMS56NPPHLOZVMQUZJSEAO/graph.json","fetch_events":"https://pith.science/api/pith-number/QXVNAMS56NPPHLOZVMQUZJSEAO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QXVNAMS56NPPHLOZVMQUZJSEAO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QXVNAMS56NPPHLOZVMQUZJSEAO/action/storage_attestation","attest_author":"https://pith.science/pith/QXVNAMS56NPPHLOZVMQUZJSEAO/action/author_attestation","sign_citation":"https://pith.science/pith/QXVNAMS56NPPHLOZVMQUZJSEAO/action/citation_signature","submit_replication":"https://pith.science/pith/QXVNAMS56NPPHLOZVMQUZJSEAO/action/replication_record"}},"created_at":"2026-05-18T00:44:42.692908+00:00","updated_at":"2026-05-18T00:44:42.692908+00:00"}