{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:G35L3NXZKNRQJL3KQLNDT6A32O","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":"46a77c0af40579bd34bb6c9cf34d0425b42afb0cd6246145818fbad9ca403d65","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2011-12-12T09:47:20Z","title_canon_sha256":"d60d82039eae795438497694965b12b5de1ede926e930c75b2c150a412696f92"},"schema_version":"1.0","source":{"id":"1112.2487","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2487","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2487v2","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2487","created_at":"2026-05-18T04:05:46Z"},{"alias_kind":"pith_short_12","alias_value":"G35L3NXZKNRQ","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"G35L3NXZKNRQJL3K","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"G35L3NXZ","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:a4241e41242ba778ecf7746e33ba976f04383921087b6e0acb58218238e860c9","target":"graph","created_at":"2026-05-18T04:05:46Z","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 a semiclassical asymptotics of local trace for the 3D-Schroedinger operator with self-generated magnetic field in the case when electric potential has one or several Coulomb-like singularities; it is given by Weyl expression plus (magnetic) Scott correction term with O(h^{-4/3}) error provided distance between singularities is large enough. Significant improvement and simplification in comparison to v1.","authors_text":"Victor Ivrii","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2011-12-12T09:47:20Z","title":"Global trace asymptotics in the self-generated magnetic field in the case of Coulomb-like singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2487","kind":"arxiv","version":2},"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:e81ecceec0a5e2ff4c9b3cca00787a3d892d3a06700e157c5d13a8c9fb82ce6c","target":"record","created_at":"2026-05-18T04:05:46Z","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":"46a77c0af40579bd34bb6c9cf34d0425b42afb0cd6246145818fbad9ca403d65","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2011-12-12T09:47:20Z","title_canon_sha256":"d60d82039eae795438497694965b12b5de1ede926e930c75b2c150a412696f92"},"schema_version":"1.0","source":{"id":"1112.2487","kind":"arxiv","version":2}},"canonical_sha256":"36fabdb6f9536304af6a82da39f81bd3b8b2f6ad71d7741419f59dca7586ba6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36fabdb6f9536304af6a82da39f81bd3b8b2f6ad71d7741419f59dca7586ba6a","first_computed_at":"2026-05-18T04:05:46.767296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:46.767296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f9EmHdn7MKCwmZ9LXT/6hAcCVJvr8+L1K4bKKSgVpqUaZWR0NXPFsUxBYAaBB2hRStx8f3JxBCvMrtSKCzGfCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:46.767727Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.2487","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e81ecceec0a5e2ff4c9b3cca00787a3d892d3a06700e157c5d13a8c9fb82ce6c","sha256:a4241e41242ba778ecf7746e33ba976f04383921087b6e0acb58218238e860c9"],"state_sha256":"7f6eba4d1ad26ab343a20da5ee5cdf0aedb0e13817163bead293c903160b048c"}