{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:AWFVSNVQQUYXEU2WCFUVRC543C","short_pith_number":"pith:AWFVSNVQ","schema_version":"1.0","canonical_sha256":"058b5936b085317253561169588bbcd89f8eb097ed3ec39cb0c4d4b2a3eb711c","source":{"kind":"arxiv","id":"1512.07432","version":1},"attestation_state":"computed","paper":{"title":"Sign-changing two-peak solutions for an elliptic free boundary problem related to confined plasmas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Giovanni Pisante, Tonia Ricciardi","submitted_at":"2015-12-23T11:04:13Z","abstract_excerpt":"By a perturbative argument, we construct solutions for a plasma-type problem with two opposite-signed sharp peaks at levels $1$ and $-\\gamma$, respectively, where $0<\\gamma<1$. We establish some physically relevant qualitative properties for such solutions, including the connectedness of the level sets and the asymptotic location of the peaks as $\\gamma\\to0^+$."},"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":"1512.07432","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-23T11:04:13Z","cross_cats_sorted":[],"title_canon_sha256":"c5b672d40b6c399ba671bcb893f51a3ee5200f8de5cbda74386fd3f36bd2692a","abstract_canon_sha256":"5708b5f1916121c5fec5996dff1cffcc890195df23bc162f17f2f27ff5b1a84f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:49.685754Z","signature_b64":"B0UyWd/SfJ3u2luGZ39zEPkm6o9Yp6HlNOQnV0nSFYkVUrKKyuRP9W+pVVZfJvJXMfOitn31EML8VUX8XNmEDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"058b5936b085317253561169588bbcd89f8eb097ed3ec39cb0c4d4b2a3eb711c","last_reissued_at":"2026-05-18T01:23:49.685112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:49.685112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sign-changing two-peak solutions for an elliptic free boundary problem related to confined plasmas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Giovanni Pisante, Tonia Ricciardi","submitted_at":"2015-12-23T11:04:13Z","abstract_excerpt":"By a perturbative argument, we construct solutions for a plasma-type problem with two opposite-signed sharp peaks at levels $1$ and $-\\gamma$, respectively, where $0<\\gamma<1$. We establish some physically relevant qualitative properties for such solutions, including the connectedness of the level sets and the asymptotic location of the peaks as $\\gamma\\to0^+$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07432","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":"1512.07432","created_at":"2026-05-18T01:23:49.685223+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.07432v1","created_at":"2026-05-18T01:23:49.685223+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.07432","created_at":"2026-05-18T01:23:49.685223+00:00"},{"alias_kind":"pith_short_12","alias_value":"AWFVSNVQQUYX","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"AWFVSNVQQUYXEU2W","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"AWFVSNVQ","created_at":"2026-05-18T12:29:10.953037+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/AWFVSNVQQUYXEU2WCFUVRC543C","json":"https://pith.science/pith/AWFVSNVQQUYXEU2WCFUVRC543C.json","graph_json":"https://pith.science/api/pith-number/AWFVSNVQQUYXEU2WCFUVRC543C/graph.json","events_json":"https://pith.science/api/pith-number/AWFVSNVQQUYXEU2WCFUVRC543C/events.json","paper":"https://pith.science/paper/AWFVSNVQ"},"agent_actions":{"view_html":"https://pith.science/pith/AWFVSNVQQUYXEU2WCFUVRC543C","download_json":"https://pith.science/pith/AWFVSNVQQUYXEU2WCFUVRC543C.json","view_paper":"https://pith.science/paper/AWFVSNVQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.07432&json=true","fetch_graph":"https://pith.science/api/pith-number/AWFVSNVQQUYXEU2WCFUVRC543C/graph.json","fetch_events":"https://pith.science/api/pith-number/AWFVSNVQQUYXEU2WCFUVRC543C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AWFVSNVQQUYXEU2WCFUVRC543C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AWFVSNVQQUYXEU2WCFUVRC543C/action/storage_attestation","attest_author":"https://pith.science/pith/AWFVSNVQQUYXEU2WCFUVRC543C/action/author_attestation","sign_citation":"https://pith.science/pith/AWFVSNVQQUYXEU2WCFUVRC543C/action/citation_signature","submit_replication":"https://pith.science/pith/AWFVSNVQQUYXEU2WCFUVRC543C/action/replication_record"}},"created_at":"2026-05-18T01:23:49.685223+00:00","updated_at":"2026-05-18T01:23:49.685223+00:00"}