{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:K3YSDDSQFXQG74WGIUUAXKKABS","short_pith_number":"pith:K3YSDDSQ","schema_version":"1.0","canonical_sha256":"56f1218e502de06ff2c645280ba9400c9d436461dc3e1b8efc06cc11bb7a819c","source":{"kind":"arxiv","id":"1305.3099","version":2},"attestation_state":"computed","paper":{"title":"Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SP","authors_text":"Aleksey Kostenko, Gerald Teschl, Jonathan Eckhardt, Rainer Brunnhuber","submitted_at":"2013-05-14T10:36:40Z","abstract_excerpt":"We develop singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators. In particular, we establish existence of a spectral transformation as well as local Borg-Marchenko and Hochstadt-Liebermann type uniqueness results. Finally, we give some applications to the case of radial Dirac operators."},"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":"1305.3099","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2013-05-14T10:36:40Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"99bcab50a832154c0f8a41cf8fd84647f87e44725e763d7b73205b51b10e248a","abstract_canon_sha256":"231c634bc1b4b9433ce3800836d46419d80ea1d04640cabc43dbbe8404456556"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:07.850986Z","signature_b64":"DXs53BeKgWshO71vX0XRFae28ob6t+zWvU78vw4tMX9eBmnEF5tsMJ4Kr/nlNl60LbWVSvRVS5tYBs3waG4vDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56f1218e502de06ff2c645280ba9400c9d436461dc3e1b8efc06cc11bb7a819c","last_reissued_at":"2026-05-18T02:47:07.850626Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:07.850626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SP","authors_text":"Aleksey Kostenko, Gerald Teschl, Jonathan Eckhardt, Rainer Brunnhuber","submitted_at":"2013-05-14T10:36:40Z","abstract_excerpt":"We develop singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators. In particular, we establish existence of a spectral transformation as well as local Borg-Marchenko and Hochstadt-Liebermann type uniqueness results. Finally, we give some applications to the case of radial Dirac operators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3099","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":"1305.3099","created_at":"2026-05-18T02:47:07.850672+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.3099v2","created_at":"2026-05-18T02:47:07.850672+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3099","created_at":"2026-05-18T02:47:07.850672+00:00"},{"alias_kind":"pith_short_12","alias_value":"K3YSDDSQFXQG","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_16","alias_value":"K3YSDDSQFXQG74WG","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_8","alias_value":"K3YSDDSQ","created_at":"2026-05-18T12:27:49.015174+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/K3YSDDSQFXQG74WGIUUAXKKABS","json":"https://pith.science/pith/K3YSDDSQFXQG74WGIUUAXKKABS.json","graph_json":"https://pith.science/api/pith-number/K3YSDDSQFXQG74WGIUUAXKKABS/graph.json","events_json":"https://pith.science/api/pith-number/K3YSDDSQFXQG74WGIUUAXKKABS/events.json","paper":"https://pith.science/paper/K3YSDDSQ"},"agent_actions":{"view_html":"https://pith.science/pith/K3YSDDSQFXQG74WGIUUAXKKABS","download_json":"https://pith.science/pith/K3YSDDSQFXQG74WGIUUAXKKABS.json","view_paper":"https://pith.science/paper/K3YSDDSQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.3099&json=true","fetch_graph":"https://pith.science/api/pith-number/K3YSDDSQFXQG74WGIUUAXKKABS/graph.json","fetch_events":"https://pith.science/api/pith-number/K3YSDDSQFXQG74WGIUUAXKKABS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K3YSDDSQFXQG74WGIUUAXKKABS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K3YSDDSQFXQG74WGIUUAXKKABS/action/storage_attestation","attest_author":"https://pith.science/pith/K3YSDDSQFXQG74WGIUUAXKKABS/action/author_attestation","sign_citation":"https://pith.science/pith/K3YSDDSQFXQG74WGIUUAXKKABS/action/citation_signature","submit_replication":"https://pith.science/pith/K3YSDDSQFXQG74WGIUUAXKKABS/action/replication_record"}},"created_at":"2026-05-18T02:47:07.850672+00:00","updated_at":"2026-05-18T02:47:07.850672+00:00"}