{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:L6Y4NL42LTPED4UGW5YIOVZYMM","short_pith_number":"pith:L6Y4NL42","schema_version":"1.0","canonical_sha256":"5fb1c6af9a5cde41f286b77087573863193934d3dff9f9092aca507aa5487fe0","source":{"kind":"arxiv","id":"1009.2595","version":1},"attestation_state":"computed","paper":{"title":"Concentration on circles for nonlinear Schr\\\"odinger-Poisson systems with unbounded potentials vanishing at infinity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Carlo Mercuri, Denis Bonheure, Jonathan Di Cosmo","submitted_at":"2010-09-14T09:02:15Z","abstract_excerpt":"The present paper is devoted to weighted Nonlinear Schr\\\"odinger- Poisson systems with potentials possibly unbounded and vanishing at infinity. Using a purely variational approach, we prove the existence of solutions concentrating on a circle."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1009.2595","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-09-14T09:02:15Z","cross_cats_sorted":[],"title_canon_sha256":"1711ea09c92978c5d588f670cd5e00ae408ca020c85fb175ee415c95d00953c1","abstract_canon_sha256":"95858912de1f42dba87ed6f127e1737e2cdad51421a3db4244cd6b1cff2c8f89"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:56.743474Z","signature_b64":"pUzLDay1HF0J6MfaWtdx54aX9/8bTBxe21RTGLhH0T3f9F8sCtjy0PZ1Xeqfr4Sq5BTTLJ5nMEC3E90qm0e4Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fb1c6af9a5cde41f286b77087573863193934d3dff9f9092aca507aa5487fe0","last_reissued_at":"2026-05-18T04:40:56.743039Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:56.743039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Concentration on circles for nonlinear Schr\\\"odinger-Poisson systems with unbounded potentials vanishing at infinity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Carlo Mercuri, Denis Bonheure, Jonathan Di Cosmo","submitted_at":"2010-09-14T09:02:15Z","abstract_excerpt":"The present paper is devoted to weighted Nonlinear Schr\\\"odinger- Poisson systems with potentials possibly unbounded and vanishing at infinity. Using a purely variational approach, we prove the existence of solutions concentrating on a circle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2595","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1009.2595","created_at":"2026-05-18T04:40:56.743099+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.2595v1","created_at":"2026-05-18T04:40:56.743099+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2595","created_at":"2026-05-18T04:40:56.743099+00:00"},{"alias_kind":"pith_short_12","alias_value":"L6Y4NL42LTPE","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"L6Y4NL42LTPED4UG","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"L6Y4NL42","created_at":"2026-05-18T12:26:10.704358+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/L6Y4NL42LTPED4UGW5YIOVZYMM","json":"https://pith.science/pith/L6Y4NL42LTPED4UGW5YIOVZYMM.json","graph_json":"https://pith.science/api/pith-number/L6Y4NL42LTPED4UGW5YIOVZYMM/graph.json","events_json":"https://pith.science/api/pith-number/L6Y4NL42LTPED4UGW5YIOVZYMM/events.json","paper":"https://pith.science/paper/L6Y4NL42"},"agent_actions":{"view_html":"https://pith.science/pith/L6Y4NL42LTPED4UGW5YIOVZYMM","download_json":"https://pith.science/pith/L6Y4NL42LTPED4UGW5YIOVZYMM.json","view_paper":"https://pith.science/paper/L6Y4NL42","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.2595&json=true","fetch_graph":"https://pith.science/api/pith-number/L6Y4NL42LTPED4UGW5YIOVZYMM/graph.json","fetch_events":"https://pith.science/api/pith-number/L6Y4NL42LTPED4UGW5YIOVZYMM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L6Y4NL42LTPED4UGW5YIOVZYMM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L6Y4NL42LTPED4UGW5YIOVZYMM/action/storage_attestation","attest_author":"https://pith.science/pith/L6Y4NL42LTPED4UGW5YIOVZYMM/action/author_attestation","sign_citation":"https://pith.science/pith/L6Y4NL42LTPED4UGW5YIOVZYMM/action/citation_signature","submit_replication":"https://pith.science/pith/L6Y4NL42LTPED4UGW5YIOVZYMM/action/replication_record"}},"created_at":"2026-05-18T04:40:56.743099+00:00","updated_at":"2026-05-18T04:40:56.743099+00:00"}