{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:VHPIDF73TG4OTE2Z3G7BXJ2HS2","short_pith_number":"pith:VHPIDF73","schema_version":"1.0","canonical_sha256":"a9de8197fb99b8e99359d9be1ba74796bf1b2c1f6b353a6c75482da732b36e9a","source":{"kind":"arxiv","id":"1401.7704","version":1},"attestation_state":"computed","paper":{"title":"The Marchenko representation of reflectionless Jacobi and Schrodinger operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Christian Remling, Injo Hur, Matt McBride","submitted_at":"2014-01-29T23:52:40Z","abstract_excerpt":"We consider Jacobi matrices and Schrodinger operators that are reflectionless on an interval. We give a systematic development of a certain parametrization of this class, in terms of suitable spectral data, that is due to Marchenko. Then some applications of these ideas are 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":"1401.7704","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-01-29T23:52:40Z","cross_cats_sorted":[],"title_canon_sha256":"3200486a1a1d63a1887036df370b89079c7ad5033d6f05b59163543fd2a27af1","abstract_canon_sha256":"eb86cf3cea9e942b34f59a20c0d970ec93f7335a01184a22933fc883665dcf6c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:00:38.783563Z","signature_b64":"rgPs9n+oPgBj/um1KUR87AtEUQDW3XBHzPOwJPVvkrlQkHXCZjE1nnfKbdbY40CUGigNYctjgDNEq5aBIsaJCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9de8197fb99b8e99359d9be1ba74796bf1b2c1f6b353a6c75482da732b36e9a","last_reissued_at":"2026-05-18T03:00:38.782495Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:00:38.782495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Marchenko representation of reflectionless Jacobi and Schrodinger operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Christian Remling, Injo Hur, Matt McBride","submitted_at":"2014-01-29T23:52:40Z","abstract_excerpt":"We consider Jacobi matrices and Schrodinger operators that are reflectionless on an interval. We give a systematic development of a certain parametrization of this class, in terms of suitable spectral data, that is due to Marchenko. Then some applications of these ideas are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7704","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":"1401.7704","created_at":"2026-05-18T03:00:38.782668+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.7704v1","created_at":"2026-05-18T03:00:38.782668+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7704","created_at":"2026-05-18T03:00:38.782668+00:00"},{"alias_kind":"pith_short_12","alias_value":"VHPIDF73TG4O","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"VHPIDF73TG4OTE2Z","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"VHPIDF73","created_at":"2026-05-18T12:28:54.890064+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/VHPIDF73TG4OTE2Z3G7BXJ2HS2","json":"https://pith.science/pith/VHPIDF73TG4OTE2Z3G7BXJ2HS2.json","graph_json":"https://pith.science/api/pith-number/VHPIDF73TG4OTE2Z3G7BXJ2HS2/graph.json","events_json":"https://pith.science/api/pith-number/VHPIDF73TG4OTE2Z3G7BXJ2HS2/events.json","paper":"https://pith.science/paper/VHPIDF73"},"agent_actions":{"view_html":"https://pith.science/pith/VHPIDF73TG4OTE2Z3G7BXJ2HS2","download_json":"https://pith.science/pith/VHPIDF73TG4OTE2Z3G7BXJ2HS2.json","view_paper":"https://pith.science/paper/VHPIDF73","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.7704&json=true","fetch_graph":"https://pith.science/api/pith-number/VHPIDF73TG4OTE2Z3G7BXJ2HS2/graph.json","fetch_events":"https://pith.science/api/pith-number/VHPIDF73TG4OTE2Z3G7BXJ2HS2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VHPIDF73TG4OTE2Z3G7BXJ2HS2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VHPIDF73TG4OTE2Z3G7BXJ2HS2/action/storage_attestation","attest_author":"https://pith.science/pith/VHPIDF73TG4OTE2Z3G7BXJ2HS2/action/author_attestation","sign_citation":"https://pith.science/pith/VHPIDF73TG4OTE2Z3G7BXJ2HS2/action/citation_signature","submit_replication":"https://pith.science/pith/VHPIDF73TG4OTE2Z3G7BXJ2HS2/action/replication_record"}},"created_at":"2026-05-18T03:00:38.782668+00:00","updated_at":"2026-05-18T03:00:38.782668+00:00"}