{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TR3S4K3BD2QUHV66JBQIHFZ356","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":"df5a23954051ae1fbe6bb2f9927ed89442bd4ff246a851d9e781da41c26fc1b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-03-21T20:37:31Z","title_canon_sha256":"474a68071b315669add09fc26d2ced8eca3c616fc8325cdd592b8519d51c42de"},"schema_version":"1.0","source":{"id":"1203.4833","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4833","created_at":"2026-05-18T02:57:53Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4833v4","created_at":"2026-05-18T02:57:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4833","created_at":"2026-05-18T02:57:53Z"},{"alias_kind":"pith_short_12","alias_value":"TR3S4K3BD2QU","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TR3S4K3BD2QUHV66","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TR3S4K3B","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:bed86259f3dfea0350ff6ed2c241bb53ca267d4b74be68161bbe982f47777673","target":"graph","created_at":"2026-05-18T02:57:53Z","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 paper presents estimates for the number of negative eigenvalues of a two-dimensional Schr\\\"odinger operator in terms of $L\\log L$ type Orlicz norms of the potential and proves a conjecture by N.N. Khuri, A. Martin and T.T. Wu.","authors_text":"Eugene Shargorodsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-03-21T20:37:31Z","title":"On negative eigenvalues of two-dimensional Schr\\\"odinger operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4833","kind":"arxiv","version":4},"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:e5be5c1189afede0a91e46a18bdfcd7d0327a37f5d03dbebdd84216697709afd","target":"record","created_at":"2026-05-18T02:57:53Z","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":"df5a23954051ae1fbe6bb2f9927ed89442bd4ff246a851d9e781da41c26fc1b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-03-21T20:37:31Z","title_canon_sha256":"474a68071b315669add09fc26d2ced8eca3c616fc8325cdd592b8519d51c42de"},"schema_version":"1.0","source":{"id":"1203.4833","kind":"arxiv","version":4}},"canonical_sha256":"9c772e2b611ea143d7de486083973bef8fe0d601abdb4a851fab60bd3dfd80a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c772e2b611ea143d7de486083973bef8fe0d601abdb4a851fab60bd3dfd80a6","first_computed_at":"2026-05-18T02:57:53.670609Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:53.670609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y4oAuGZbhbnH7BImNYvbjmhx5TQik8C9qwAerqH+++pEbPR9etkL6Xt17gYMaqAghesHbDV6lReUf0gEVGotCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:53.671215Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.4833","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5be5c1189afede0a91e46a18bdfcd7d0327a37f5d03dbebdd84216697709afd","sha256:bed86259f3dfea0350ff6ed2c241bb53ca267d4b74be68161bbe982f47777673"],"state_sha256":"5f0726efa7a9bf81ee0ed20f8da338d1726ce987980efe3f45f4585b74f99946"}