{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:E4Y6RIIGDMLWXHOAV5OFHQHXDZ","short_pith_number":"pith:E4Y6RIIG","schema_version":"1.0","canonical_sha256":"2731e8a1061b176b9dc0af5c53c0f71e6e88b40dd6aa77c2bea45b681c27dc02","source":{"kind":"arxiv","id":"1311.2862","version":1},"attestation_state":"computed","paper":{"title":"Inverse scattering problem for Sturm-Liouville operator on non-compact A-graph. Uniqueness result","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Mikhail Ignatyev","submitted_at":"2013-11-12T18:08:55Z","abstract_excerpt":"In a finite-dimensional Euclidian space we consider a connected metric graph with the following property: each two cycles can have at most one common point. Such graphs are called A-graphs. On noncompact A-graph we consider a scattering problem for Sturm-Liouville differential operator with standard matching conditions in the internal vertices. Transport, spectral and scattering problems for differential operators on graphs appear frequently in mathematics, natural sciences and engineering. In particular, direct and inverse problems for such operators are used to construct and study models in "},"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":"1311.2862","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2013-11-12T18:08:55Z","cross_cats_sorted":[],"title_canon_sha256":"de69156a05d6ff6ef7e4d892b9043faf6aeed09518a05d6a3800f69376e09c8b","abstract_canon_sha256":"b196a8ab2e5e96e246042d8adec721bb40b61cd5d83ba40d6ab24d5d486b6e21"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:21.725539Z","signature_b64":"/m8qGrA/2rN1wRtRmuEkwdT/egIl+Xmzm1IX34BNNeoK4337vKySQ+sLL0ogZ1dLdwPhue4SN/mA8pmJiM+7Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2731e8a1061b176b9dc0af5c53c0f71e6e88b40dd6aa77c2bea45b681c27dc02","last_reissued_at":"2026-05-18T03:07:21.724941Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:21.724941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inverse scattering problem for Sturm-Liouville operator on non-compact A-graph. Uniqueness result","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Mikhail Ignatyev","submitted_at":"2013-11-12T18:08:55Z","abstract_excerpt":"In a finite-dimensional Euclidian space we consider a connected metric graph with the following property: each two cycles can have at most one common point. Such graphs are called A-graphs. On noncompact A-graph we consider a scattering problem for Sturm-Liouville differential operator with standard matching conditions in the internal vertices. Transport, spectral and scattering problems for differential operators on graphs appear frequently in mathematics, natural sciences and engineering. In particular, direct and inverse problems for such operators are used to construct and study models in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2862","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":"1311.2862","created_at":"2026-05-18T03:07:21.725057+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.2862v1","created_at":"2026-05-18T03:07:21.725057+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2862","created_at":"2026-05-18T03:07:21.725057+00:00"},{"alias_kind":"pith_short_12","alias_value":"E4Y6RIIGDMLW","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"E4Y6RIIGDMLWXHOA","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"E4Y6RIIG","created_at":"2026-05-18T12:27:43.054852+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/E4Y6RIIGDMLWXHOAV5OFHQHXDZ","json":"https://pith.science/pith/E4Y6RIIGDMLWXHOAV5OFHQHXDZ.json","graph_json":"https://pith.science/api/pith-number/E4Y6RIIGDMLWXHOAV5OFHQHXDZ/graph.json","events_json":"https://pith.science/api/pith-number/E4Y6RIIGDMLWXHOAV5OFHQHXDZ/events.json","paper":"https://pith.science/paper/E4Y6RIIG"},"agent_actions":{"view_html":"https://pith.science/pith/E4Y6RIIGDMLWXHOAV5OFHQHXDZ","download_json":"https://pith.science/pith/E4Y6RIIGDMLWXHOAV5OFHQHXDZ.json","view_paper":"https://pith.science/paper/E4Y6RIIG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.2862&json=true","fetch_graph":"https://pith.science/api/pith-number/E4Y6RIIGDMLWXHOAV5OFHQHXDZ/graph.json","fetch_events":"https://pith.science/api/pith-number/E4Y6RIIGDMLWXHOAV5OFHQHXDZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E4Y6RIIGDMLWXHOAV5OFHQHXDZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E4Y6RIIGDMLWXHOAV5OFHQHXDZ/action/storage_attestation","attest_author":"https://pith.science/pith/E4Y6RIIGDMLWXHOAV5OFHQHXDZ/action/author_attestation","sign_citation":"https://pith.science/pith/E4Y6RIIGDMLWXHOAV5OFHQHXDZ/action/citation_signature","submit_replication":"https://pith.science/pith/E4Y6RIIGDMLWXHOAV5OFHQHXDZ/action/replication_record"}},"created_at":"2026-05-18T03:07:21.725057+00:00","updated_at":"2026-05-18T03:07:21.725057+00:00"}