{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:B4WVCHECQJIDACWBR63HQ3NPLH","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":"d6fd7ef3317d7d4e45c9cd3aebf966440c1b1a96378dbcf319d5426dec5fee38","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-03-31T09:53:06Z","title_canon_sha256":"b542bf21e918cb6d81f2c52060cd3599fbfc68f7a2a43aa9bb80f652c7f19e40"},"schema_version":"1.0","source":{"id":"1703.10820","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10820","created_at":"2026-05-18T00:47:32Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10820v1","created_at":"2026-05-18T00:47:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10820","created_at":"2026-05-18T00:47:32Z"},{"alias_kind":"pith_short_12","alias_value":"B4WVCHECQJID","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"B4WVCHECQJIDACWB","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"B4WVCHEC","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:3f032840aa8434d7914c2fefbc2d90ba38b4efa5c44f9efd7ad07587e0a6dddb","target":"graph","created_at":"2026-05-18T00:47:32Z","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":"We consider the Stark operator perturbed by a compactly supported potential (of a certain class) on the real line. We prove the following results: (a) upper and lower bounds on the number of resonances in complex discs with large radii,\n  (b) the trace formula in terms of resonances only, (c) all resonances determine the potential uniquely.","authors_text":"Evgeny L. Korotyaev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-03-31T09:53:06Z","title":"Resonances for 1d Stark operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10820","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":"sha256:0d27f2f3138bc53602ccc0e352a4bcbd6f022aa1f6bb50c5f60b6ef7ba970364","target":"record","created_at":"2026-05-18T00:47:32Z","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":"d6fd7ef3317d7d4e45c9cd3aebf966440c1b1a96378dbcf319d5426dec5fee38","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-03-31T09:53:06Z","title_canon_sha256":"b542bf21e918cb6d81f2c52060cd3599fbfc68f7a2a43aa9bb80f652c7f19e40"},"schema_version":"1.0","source":{"id":"1703.10820","kind":"arxiv","version":1}},"canonical_sha256":"0f2d511c828250300ac18fb6786daf59ef10db80839b27b0aa251d2463bd2bd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f2d511c828250300ac18fb6786daf59ef10db80839b27b0aa251d2463bd2bd6","first_computed_at":"2026-05-18T00:47:32.617925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:32.617925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B+LXDh1GSXMrVFp8p5rHDQswGXVNVNdcVFs4YyYTIrh33UWtFT4V/0r15QW8OjjRLMF8Xj5Cdkw2VGTXOOvcAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:32.618360Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.10820","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d27f2f3138bc53602ccc0e352a4bcbd6f022aa1f6bb50c5f60b6ef7ba970364","sha256:3f032840aa8434d7914c2fefbc2d90ba38b4efa5c44f9efd7ad07587e0a6dddb"],"state_sha256":"e13628525094ed403bdeca7e30e07e4fde3c118cea4cf968432956518a8c3922"}