{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:SXE7EA3ZPLE6ZBEO7HDIDSPJ3A","short_pith_number":"pith:SXE7EA3Z","schema_version":"1.0","canonical_sha256":"95c9f203797ac9ec848ef9c681c9e9d8293c4e6fc306cdb01c6a19e32a9f5120","source":{"kind":"arxiv","id":"1105.1204","version":1},"attestation_state":"computed","paper":{"title":"Gauge equivalence and inverse scattering for long-range magnetic potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Gregory Eskin, Hiroshi Isozaki","submitted_at":"2011-05-06T01:30:09Z","abstract_excerpt":"For Schroedinger operators with long-range magnetic vector potentials and short-range electric scalar potentials in an exterior domain $\\Omega$ in ${\\bf R}^n$ with $n \\geq 2$, we show that there is a one-to-one correspondence between the gauge equivalent classes of Hamiltonians and those of S-matrices if $\\Omega$ is exterior to a bounded convex obstacle."},"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":"1105.1204","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-05-06T01:30:09Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"5aacb6369799c4a08f26848fb9af4f0266d2fa33a5a08d87436bb84426509eaa","abstract_canon_sha256":"11d2e0608411201091a87c3a0c9e18755dd96da28d8df56de609b5bc146a25d5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:40.890815Z","signature_b64":"6UUXwXp12YIqE9IMUVu+vCwlkym3Lwz8j7NtBJQPmiI6kG7q8PU/kRISxP/TvhGtxmem3qXJ9WAqvaIr/cAvBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95c9f203797ac9ec848ef9c681c9e9d8293c4e6fc306cdb01c6a19e32a9f5120","last_reissued_at":"2026-05-18T04:22:40.890284Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:40.890284Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gauge equivalence and inverse scattering for long-range magnetic potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Gregory Eskin, Hiroshi Isozaki","submitted_at":"2011-05-06T01:30:09Z","abstract_excerpt":"For Schroedinger operators with long-range magnetic vector potentials and short-range electric scalar potentials in an exterior domain $\\Omega$ in ${\\bf R}^n$ with $n \\geq 2$, we show that there is a one-to-one correspondence between the gauge equivalent classes of Hamiltonians and those of S-matrices if $\\Omega$ is exterior to a bounded convex obstacle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1204","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":"1105.1204","created_at":"2026-05-18T04:22:40.890360+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.1204v1","created_at":"2026-05-18T04:22:40.890360+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.1204","created_at":"2026-05-18T04:22:40.890360+00:00"},{"alias_kind":"pith_short_12","alias_value":"SXE7EA3ZPLE6","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"SXE7EA3ZPLE6ZBEO","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"SXE7EA3Z","created_at":"2026-05-18T12:26:41.206345+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/SXE7EA3ZPLE6ZBEO7HDIDSPJ3A","json":"https://pith.science/pith/SXE7EA3ZPLE6ZBEO7HDIDSPJ3A.json","graph_json":"https://pith.science/api/pith-number/SXE7EA3ZPLE6ZBEO7HDIDSPJ3A/graph.json","events_json":"https://pith.science/api/pith-number/SXE7EA3ZPLE6ZBEO7HDIDSPJ3A/events.json","paper":"https://pith.science/paper/SXE7EA3Z"},"agent_actions":{"view_html":"https://pith.science/pith/SXE7EA3ZPLE6ZBEO7HDIDSPJ3A","download_json":"https://pith.science/pith/SXE7EA3ZPLE6ZBEO7HDIDSPJ3A.json","view_paper":"https://pith.science/paper/SXE7EA3Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.1204&json=true","fetch_graph":"https://pith.science/api/pith-number/SXE7EA3ZPLE6ZBEO7HDIDSPJ3A/graph.json","fetch_events":"https://pith.science/api/pith-number/SXE7EA3ZPLE6ZBEO7HDIDSPJ3A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SXE7EA3ZPLE6ZBEO7HDIDSPJ3A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SXE7EA3ZPLE6ZBEO7HDIDSPJ3A/action/storage_attestation","attest_author":"https://pith.science/pith/SXE7EA3ZPLE6ZBEO7HDIDSPJ3A/action/author_attestation","sign_citation":"https://pith.science/pith/SXE7EA3ZPLE6ZBEO7HDIDSPJ3A/action/citation_signature","submit_replication":"https://pith.science/pith/SXE7EA3ZPLE6ZBEO7HDIDSPJ3A/action/replication_record"}},"created_at":"2026-05-18T04:22:40.890360+00:00","updated_at":"2026-05-18T04:22:40.890360+00:00"}