{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:TR2S6IX5DOTP3VAI6WJC4LQFGP","short_pith_number":"pith:TR2S6IX5","schema_version":"1.0","canonical_sha256":"9c752f22fd1ba6fdd408f5922e2e0533e1be0feea3abe2c5f0b99c81f4fcc50b","source":{"kind":"arxiv","id":"1703.09018","version":1},"attestation_state":"computed","paper":{"title":"Asymptotic completeness in dissipative scattering theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"J\\'er\\'emy Faupin, J\\\"urg Fr\\\"ohlich","submitted_at":"2017-03-27T11:37:41Z","abstract_excerpt":"We consider an abstract pseudo-Hamiltonian for the nuclear optical model, given by a dissipative operator of the form $H = H_V - i C^* C$, where $H_V = H_0 + V$ is self-adjoint and $C$ is a bounded operator. We study the wave operators associated to $H$ and $H_0$. We prove that they are asymptotically complete if and only if $H$ does not have spectral singularities on the real axis. For Schr\\\"odinger operators, the spectral singularities correspond to real resonances."},"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":"1703.09018","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-27T11:37:41Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"cb2866b97491b2e261b46fc6d850c667cba29c50f9c1e6e0e3d996a66756ae9a","abstract_canon_sha256":"e764d1d806e037c450c970a188df478dbdfd4d27005baf6f4982b865485e6698"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:54.943506Z","signature_b64":"hXA+H0m/KLE3BZ7vWP7hqahJ3sEWhjjqMF5GG+FRe4kHwdNYEJfmv/I/nUzFFP5xHvataU+ytYTmYW6bW7WlBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c752f22fd1ba6fdd408f5922e2e0533e1be0feea3abe2c5f0b99c81f4fcc50b","last_reissued_at":"2026-05-18T00:47:54.942787Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:54.942787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic completeness in dissipative scattering theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"J\\'er\\'emy Faupin, J\\\"urg Fr\\\"ohlich","submitted_at":"2017-03-27T11:37:41Z","abstract_excerpt":"We consider an abstract pseudo-Hamiltonian for the nuclear optical model, given by a dissipative operator of the form $H = H_V - i C^* C$, where $H_V = H_0 + V$ is self-adjoint and $C$ is a bounded operator. We study the wave operators associated to $H$ and $H_0$. We prove that they are asymptotically complete if and only if $H$ does not have spectral singularities on the real axis. For Schr\\\"odinger operators, the spectral singularities correspond to real resonances."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09018","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":"1703.09018","created_at":"2026-05-18T00:47:54.942897+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.09018v1","created_at":"2026-05-18T00:47:54.942897+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09018","created_at":"2026-05-18T00:47:54.942897+00:00"},{"alias_kind":"pith_short_12","alias_value":"TR2S6IX5DOTP","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_16","alias_value":"TR2S6IX5DOTP3VAI","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_8","alias_value":"TR2S6IX5","created_at":"2026-05-18T12:31:46.661854+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/TR2S6IX5DOTP3VAI6WJC4LQFGP","json":"https://pith.science/pith/TR2S6IX5DOTP3VAI6WJC4LQFGP.json","graph_json":"https://pith.science/api/pith-number/TR2S6IX5DOTP3VAI6WJC4LQFGP/graph.json","events_json":"https://pith.science/api/pith-number/TR2S6IX5DOTP3VAI6WJC4LQFGP/events.json","paper":"https://pith.science/paper/TR2S6IX5"},"agent_actions":{"view_html":"https://pith.science/pith/TR2S6IX5DOTP3VAI6WJC4LQFGP","download_json":"https://pith.science/pith/TR2S6IX5DOTP3VAI6WJC4LQFGP.json","view_paper":"https://pith.science/paper/TR2S6IX5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.09018&json=true","fetch_graph":"https://pith.science/api/pith-number/TR2S6IX5DOTP3VAI6WJC4LQFGP/graph.json","fetch_events":"https://pith.science/api/pith-number/TR2S6IX5DOTP3VAI6WJC4LQFGP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TR2S6IX5DOTP3VAI6WJC4LQFGP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TR2S6IX5DOTP3VAI6WJC4LQFGP/action/storage_attestation","attest_author":"https://pith.science/pith/TR2S6IX5DOTP3VAI6WJC4LQFGP/action/author_attestation","sign_citation":"https://pith.science/pith/TR2S6IX5DOTP3VAI6WJC4LQFGP/action/citation_signature","submit_replication":"https://pith.science/pith/TR2S6IX5DOTP3VAI6WJC4LQFGP/action/replication_record"}},"created_at":"2026-05-18T00:47:54.942897+00:00","updated_at":"2026-05-18T00:47:54.942897+00:00"}