{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DVQEG4UKPNT5MN6ALITK4N4RD6","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2ab244c738919e673fdc35ad9635b5f2cf2cc98c37699cbec5837ec637e88caa","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-08-21T10:04:56Z","title_canon_sha256":"2e6da23f72ea705304d2f7b1e403fefc432229be8ed7745b844f7e2865d1b37f"},"schema_version":"1.0","source":{"id":"1208.4230","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4230","created_at":"2026-05-18T03:48:24Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4230v1","created_at":"2026-05-18T03:48:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4230","created_at":"2026-05-18T03:48:24Z"},{"alias_kind":"pith_short_12","alias_value":"DVQEG4UKPNT5","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DVQEG4UKPNT5MN6A","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DVQEG4UK","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:a3e16dc20be1cd32397173b5aa36829aaeaa486297a725cfe6ce65cd1e01374b","target":"graph","created_at":"2026-05-18T03:48:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The scattering matrix of the Schrodinger operator with smooth short-range electric and magnetic potentials is considered. The asymptotic density of the eigenvalues of this scattering matrix in the high energy regime is determined. An explicit formula for this density is given. This formula involves only the magnetic vector-potential.","authors_text":"Alexander Pushnitski, Daniel Bulger","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-08-21T10:04:56Z","title":"The spectral density of the scattering matrix of the magnetic Schrodinger operator for high energies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4230","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e2b3657cddc965c4e161fd9a591d1fd6685adb0b6d4cec88bc95e467ddc81398","target":"record","created_at":"2026-05-18T03:48:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2ab244c738919e673fdc35ad9635b5f2cf2cc98c37699cbec5837ec637e88caa","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-08-21T10:04:56Z","title_canon_sha256":"2e6da23f72ea705304d2f7b1e403fefc432229be8ed7745b844f7e2865d1b37f"},"schema_version":"1.0","source":{"id":"1208.4230","kind":"arxiv","version":1}},"canonical_sha256":"1d6043728a7b67d637c05a26ae37911fbe5a0c88d4a2b94ca5965438053c619f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d6043728a7b67d637c05a26ae37911fbe5a0c88d4a2b94ca5965438053c619f","first_computed_at":"2026-05-18T03:48:24.059341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:24.059341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rjc2Sncx/xxjUD4VMjv2bxrjRP7lL6BsAsmecQCpox4+cBliEwObXDs6AJVl1YUl+cfNhV6zjIWgSES8zKnXDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:24.059961Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.4230","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2b3657cddc965c4e161fd9a591d1fd6685adb0b6d4cec88bc95e467ddc81398","sha256:a3e16dc20be1cd32397173b5aa36829aaeaa486297a725cfe6ce65cd1e01374b"],"state_sha256":"0b4e3016568e61c6ada78a19014d1c9425a310a3096b04b327bbac067644e68a"}