{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:2ZVY43VYL2SUWEGAHCNYU6W7WR","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":"68ea067762e31369ba89e93ba0099d0573c92b2d2a41e3bdd29672163f649283","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-04-23T15:11:48Z","title_canon_sha256":"2e549c9dcb9e0cefd5e556249e39b86b1a878cd80a73c91229930cecf104e505"},"schema_version":"1.0","source":{"id":"1904.10371","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.10371","created_at":"2026-05-17T23:39:39Z"},{"alias_kind":"arxiv_version","alias_value":"1904.10371v1","created_at":"2026-05-17T23:39:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.10371","created_at":"2026-05-17T23:39:39Z"},{"alias_kind":"pith_short_12","alias_value":"2ZVY43VYL2SU","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"2ZVY43VYL2SUWEGA","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"2ZVY43VY","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:adcf43118493e3a6fc937c33be559566dafd180ff7f3d27745a36c66b3768b61","target":"graph","created_at":"2026-05-17T23:39:39Z","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 prove existence of radially symmetric solutions and validity of Euler-Lagrange necessary conditions for a class of variational problems such that neither direct methods nor indirect methods of Calculus of Variations apply. We obtain existence and qualitative properties of the solutions by means of ad-hoc superlinear perturbations of the functional having the same minimizers of the original one.","authors_text":"Annalisa Malusa, Graziano Crasta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-04-23T15:11:48Z","title":"Non-coercive radially symmetric variational problems: Existence, symmetry and convexity of minimizers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.10371","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":"sha256:4bcfbacf8e18def8b8441c81b7c50b015f7aab958bc188adcea81ef5c59b8021","target":"record","created_at":"2026-05-17T23:39:39Z","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":"68ea067762e31369ba89e93ba0099d0573c92b2d2a41e3bdd29672163f649283","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-04-23T15:11:48Z","title_canon_sha256":"2e549c9dcb9e0cefd5e556249e39b86b1a878cd80a73c91229930cecf104e505"},"schema_version":"1.0","source":{"id":"1904.10371","kind":"arxiv","version":1}},"canonical_sha256":"d66b8e6eb85ea54b10c0389b8a7adfb44ac8161e2fa546b42c3cc9962ace7842","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d66b8e6eb85ea54b10c0389b8a7adfb44ac8161e2fa546b42c3cc9962ace7842","first_computed_at":"2026-05-17T23:39:39.571651Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:39.571651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lotM/0MJbKwQiK5LLleK3AaQYP0ZZRyMrZkRtvYS5DL9OHvVd04Jxy6/0eCrgNWVVeZMnh5a43S2tFmjohTHCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:39.572234Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.10371","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bcfbacf8e18def8b8441c81b7c50b015f7aab958bc188adcea81ef5c59b8021","sha256:adcf43118493e3a6fc937c33be559566dafd180ff7f3d27745a36c66b3768b61"],"state_sha256":"09829201b48ced217cf99512bda655a57d8390d3237467c1f5332bd6af54a521"}