{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:ZIUHLGEFSPDZFKJXIDJEEHJ5OR","short_pith_number":"pith:ZIUHLGEF","schema_version":"1.0","canonical_sha256":"ca2875988593c792a93740d2421d3d744554948b4197ed734d2461224a97af7e","source":{"kind":"arxiv","id":"2202.12465","version":1},"attestation_state":"computed","paper":{"title":"Friedel formula and Krein's theorem in complex potential scattering theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"cond-mat.other","authors_text":"Peng Guo, Vladimir Gasparian","submitted_at":"2022-02-25T02:35:33Z","abstract_excerpt":"In this work, the generalization of Friedel formula and Krein's theorem in complex potential scattering theory is presented. The consequence of various symmetry constraints on dynamical system are discussed. In addition, Muskhelishvili-Omn\\`es representation of Krein's theorem is also given and discussed."},"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":"2202.12465","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2022-02-25T02:35:33Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"59ffe3c1d2763877b94c06894bb543dad5e75f67e38cc4d5c42518823738c76f","abstract_canon_sha256":"cbbcc0aabbe9b9472363864887380278d971b95c508175777e6e17cbecbd4299"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:59:55.478479Z","signature_b64":"Lpvcfo21+EAkOqRUR0TN5bgjUxx6fa2KLI993jEbHc7A+0Fhjbv0x0xR4eV1YiXq3RAcfOH53Hy/MlPaEPGlCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca2875988593c792a93740d2421d3d744554948b4197ed734d2461224a97af7e","last_reissued_at":"2026-07-05T03:59:55.478051Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:59:55.478051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Friedel formula and Krein's theorem in complex potential scattering theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"cond-mat.other","authors_text":"Peng Guo, Vladimir Gasparian","submitted_at":"2022-02-25T02:35:33Z","abstract_excerpt":"In this work, the generalization of Friedel formula and Krein's theorem in complex potential scattering theory is presented. The consequence of various symmetry constraints on dynamical system are discussed. In addition, Muskhelishvili-Omn\\`es representation of Krein's theorem is also given and discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.12465","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/2202.12465/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":"2202.12465","created_at":"2026-07-05T03:59:55.478106+00:00"},{"alias_kind":"arxiv_version","alias_value":"2202.12465v1","created_at":"2026-07-05T03:59:55.478106+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.12465","created_at":"2026-07-05T03:59:55.478106+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZIUHLGEFSPDZ","created_at":"2026-07-05T03:59:55.478106+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZIUHLGEFSPDZFKJX","created_at":"2026-07-05T03:59:55.478106+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZIUHLGEF","created_at":"2026-07-05T03:59:55.478106+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2407.17981","citing_title":"Tunneling time in coupled-channel systems","ref_index":35,"is_internal_anchor":false},{"citing_arxiv_id":"2503.20486","citing_title":"Characteristic determinant approach to the spectrum of one-dimensional $\\mathcal{P}\\mathcal{T}$-symmetric systems","ref_index":14,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZIUHLGEFSPDZFKJXIDJEEHJ5OR","json":"https://pith.science/pith/ZIUHLGEFSPDZFKJXIDJEEHJ5OR.json","graph_json":"https://pith.science/api/pith-number/ZIUHLGEFSPDZFKJXIDJEEHJ5OR/graph.json","events_json":"https://pith.science/api/pith-number/ZIUHLGEFSPDZFKJXIDJEEHJ5OR/events.json","paper":"https://pith.science/paper/ZIUHLGEF"},"agent_actions":{"view_html":"https://pith.science/pith/ZIUHLGEFSPDZFKJXIDJEEHJ5OR","download_json":"https://pith.science/pith/ZIUHLGEFSPDZFKJXIDJEEHJ5OR.json","view_paper":"https://pith.science/paper/ZIUHLGEF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2202.12465&json=true","fetch_graph":"https://pith.science/api/pith-number/ZIUHLGEFSPDZFKJXIDJEEHJ5OR/graph.json","fetch_events":"https://pith.science/api/pith-number/ZIUHLGEFSPDZFKJXIDJEEHJ5OR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZIUHLGEFSPDZFKJXIDJEEHJ5OR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZIUHLGEFSPDZFKJXIDJEEHJ5OR/action/storage_attestation","attest_author":"https://pith.science/pith/ZIUHLGEFSPDZFKJXIDJEEHJ5OR/action/author_attestation","sign_citation":"https://pith.science/pith/ZIUHLGEFSPDZFKJXIDJEEHJ5OR/action/citation_signature","submit_replication":"https://pith.science/pith/ZIUHLGEFSPDZFKJXIDJEEHJ5OR/action/replication_record"}},"created_at":"2026-07-05T03:59:55.478106+00:00","updated_at":"2026-07-05T03:59:55.478106+00:00"}