{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:74KL3Y6LIXLITAGRHOQBSJACS5","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":"b56be3159ed500072a6ed432551f47cbb17b4eda4f78b92dc730d82a5b246ac1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-09-29T16:24:38Z","title_canon_sha256":"ff992bb7d3d998ca5ebed0b634483eb7bec877b04368eb4b277f76345d43cc1e"},"schema_version":"1.0","source":{"id":"0809.5002","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.5002","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"arxiv_version","alias_value":"0809.5002v3","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.5002","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"pith_short_12","alias_value":"74KL3Y6LIXLI","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"74KL3Y6LIXLITAGR","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"74KL3Y6L","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:7083bbc2174b1fe2f3b528f99fe16aa3f094766e6dbbee1d2cf74b7ffe7eaf17","target":"graph","created_at":"2026-05-18T04:18:23Z","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":"Asymptotics of solutions to Schroedinger equations with singular magnetic and electric potentials is investigated. By using a Almgren type monotonicity formula, separation of variables, and an iterative Brezis-Kato type procedure, we describe the exact behavior near the singularity of solutions to linear and semilinear (critical and subcritical) elliptic equations with an inverse square electric potential and a singular magnetic potential with a homogeneity of order -1.","authors_text":"Alberto Ferrero, Susanna Terracini, Veronica Felli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-09-29T16:24:38Z","title":"Asymptotic behavior of solutions to Schr\\\"odinger equations near an isolated singularity of the electromagnetic potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.5002","kind":"arxiv","version":3},"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":"sha256:0fabb8b5b39586642add8f00dca19bb60a150730d8e9e7767ecf7860d3b9894e","target":"record","created_at":"2026-05-18T04:18:23Z","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":"b56be3159ed500072a6ed432551f47cbb17b4eda4f78b92dc730d82a5b246ac1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-09-29T16:24:38Z","title_canon_sha256":"ff992bb7d3d998ca5ebed0b634483eb7bec877b04368eb4b277f76345d43cc1e"},"schema_version":"1.0","source":{"id":"0809.5002","kind":"arxiv","version":3}},"canonical_sha256":"ff14bde3cb45d68980d13ba0192402976aa40a1b69350147f5ab20d5e22f9204","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff14bde3cb45d68980d13ba0192402976aa40a1b69350147f5ab20d5e22f9204","first_computed_at":"2026-05-18T04:18:23.934632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:23.934632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lOlOyN8jXY9sR86qobOoIy3E0LT6ByBueM/proEs1agrI5Yq06mSWVLewjPQaPeQTxSRI1PMghiXcfVtA89QBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:23.935139Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.5002","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0fabb8b5b39586642add8f00dca19bb60a150730d8e9e7767ecf7860d3b9894e","sha256:7083bbc2174b1fe2f3b528f99fe16aa3f094766e6dbbee1d2cf74b7ffe7eaf17"],"state_sha256":"ef03edc508edc6ff36d5b061a264c4cf98a3a6a3905e5f4a008b089905f10ce4"}