{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:A3QODG3D3XMOQGAFTRQT6DRPY6","short_pith_number":"pith:A3QODG3D","schema_version":"1.0","canonical_sha256":"06e0e19b63ddd8e818059c613f0e2fc7926de30706fb1bb5209f5d6ac18b2b61","source":{"kind":"arxiv","id":"1803.04895","version":2},"attestation_state":"computed","paper":{"title":"Inverse source problem in a forced network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"A. Hamdi, A. Knippel, J.G. Caputo","submitted_at":"2018-03-13T15:49:20Z","abstract_excerpt":"We address the nonlinear inverse source problem of identifying a time-dependent source occurring in one node of a network governed by a wave equation. We prove that time records of the associated state taken at a strategic set of two nodes yield uniqueness of the two unknown elements: the source position and the emitted signal. We develop a non-iterative identification method that localizes the source node by solving a set of well posed linear systems. Once the source node is localized, we identify the emitted signal using a deconvolution problem or a Fourier expansion. Numerical experiments o"},"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":"1803.04895","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-13T15:49:20Z","cross_cats_sorted":[],"title_canon_sha256":"758010cf80ef1b4003c594ef738a18d9333e4b5e623c7384b2233e2e4f01c751","abstract_canon_sha256":"0b32a977747aa62d2b1289104918ae09dbf3a0dc5ca15678ca893c311534dbcf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:38.830720Z","signature_b64":"KCdsQJg24INrOct0pSnuL/xm/7clOrSS9rrMG30A3em6hcosSC8qGizKVZIYSFavdkTZv81N8qvF2sgUYyHSDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06e0e19b63ddd8e818059c613f0e2fc7926de30706fb1bb5209f5d6ac18b2b61","last_reissued_at":"2026-05-17T23:45:38.830039Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:38.830039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inverse source problem in a forced network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"A. Hamdi, A. Knippel, J.G. Caputo","submitted_at":"2018-03-13T15:49:20Z","abstract_excerpt":"We address the nonlinear inverse source problem of identifying a time-dependent source occurring in one node of a network governed by a wave equation. We prove that time records of the associated state taken at a strategic set of two nodes yield uniqueness of the two unknown elements: the source position and the emitted signal. We develop a non-iterative identification method that localizes the source node by solving a set of well posed linear systems. Once the source node is localized, we identify the emitted signal using a deconvolution problem or a Fourier expansion. Numerical experiments o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.04895","kind":"arxiv","version":2},"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":"1803.04895","created_at":"2026-05-17T23:45:38.830152+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.04895v2","created_at":"2026-05-17T23:45:38.830152+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.04895","created_at":"2026-05-17T23:45:38.830152+00:00"},{"alias_kind":"pith_short_12","alias_value":"A3QODG3D3XMO","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_16","alias_value":"A3QODG3D3XMOQGAF","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_8","alias_value":"A3QODG3D","created_at":"2026-05-18T12:32:13.499390+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/A3QODG3D3XMOQGAFTRQT6DRPY6","json":"https://pith.science/pith/A3QODG3D3XMOQGAFTRQT6DRPY6.json","graph_json":"https://pith.science/api/pith-number/A3QODG3D3XMOQGAFTRQT6DRPY6/graph.json","events_json":"https://pith.science/api/pith-number/A3QODG3D3XMOQGAFTRQT6DRPY6/events.json","paper":"https://pith.science/paper/A3QODG3D"},"agent_actions":{"view_html":"https://pith.science/pith/A3QODG3D3XMOQGAFTRQT6DRPY6","download_json":"https://pith.science/pith/A3QODG3D3XMOQGAFTRQT6DRPY6.json","view_paper":"https://pith.science/paper/A3QODG3D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.04895&json=true","fetch_graph":"https://pith.science/api/pith-number/A3QODG3D3XMOQGAFTRQT6DRPY6/graph.json","fetch_events":"https://pith.science/api/pith-number/A3QODG3D3XMOQGAFTRQT6DRPY6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A3QODG3D3XMOQGAFTRQT6DRPY6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A3QODG3D3XMOQGAFTRQT6DRPY6/action/storage_attestation","attest_author":"https://pith.science/pith/A3QODG3D3XMOQGAFTRQT6DRPY6/action/author_attestation","sign_citation":"https://pith.science/pith/A3QODG3D3XMOQGAFTRQT6DRPY6/action/citation_signature","submit_replication":"https://pith.science/pith/A3QODG3D3XMOQGAFTRQT6DRPY6/action/replication_record"}},"created_at":"2026-05-17T23:45:38.830152+00:00","updated_at":"2026-05-17T23:45:38.830152+00:00"}