{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:CMSPCT3F6DP5QE6OJ35ZB4O2RD","short_pith_number":"pith:CMSPCT3F","schema_version":"1.0","canonical_sha256":"1324f14f65f0dfd813ce4efb90f1da88f0e76ce8bfd13cba5419f6bba08653c1","source":{"kind":"arxiv","id":"2606.15858","version":2},"attestation_state":"computed","paper":{"title":"Ground state solutions to Born-Infeld-Choquard problem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jaros{\\l}aw Mederski, Xiangjian Zeng","submitted_at":"2026-06-14T15:26:15Z","abstract_excerpt":"In this paper, we investigate the existence and qualitative properties of ground state solutions for the nonlocal Born-Infeld-Choquard problem\n  \\begin{equation*}\n  \\begin{cases}\n  -{\\rm div}\\left(\\frac{\\nabla u}{\\sqrt{1-|\\nabla u|^2}}\\right)+ \\omega u=\\big(I_\\alpha\\ast |u|^{p}\\big)|u|^{p-2}u, & \\hbox{in }\\mathbb{R}^N,\\; N\\geq 3,\n  \\\\[5mm]\n  u(x)\\to 0, &\\hbox{as }|x|\\to +\\infty.\n  \\end{cases}\n  \\end{equation*}\n  where $p>\\frac{N+\\alpha}{N}$, $\\omega=0,1$ and $0<\\alpha<N$.\n  The equation is driven by the mean curvature operator in Lorentz-Minkowski space, motivated by the Born-Infeld nonlinear "},"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":"2606.15858","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-14T15:26:15Z","cross_cats_sorted":[],"title_canon_sha256":"e837226ce4825853c54e160f394bf28926e6b891b7f62e81c5084877e7feb78c","abstract_canon_sha256":"7e02b2ee0b15ab73c52731cbe412f8039f5a42a15db87e7ca4470713f85348a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-01T01:17:52.955261Z","signature_b64":"lf2xKsuKwAb2ByAn2XU5k+zg4Ccn1DRy0lmXeP0UByAtVrmKtOPjgxIJuYroIyIHPREcQGZqESuoinQlswPICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1324f14f65f0dfd813ce4efb90f1da88f0e76ce8bfd13cba5419f6bba08653c1","last_reissued_at":"2026-07-01T01:17:52.954842Z","signature_status":"signed_v1","first_computed_at":"2026-07-01T01:17:52.954842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ground state solutions to Born-Infeld-Choquard problem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jaros{\\l}aw Mederski, Xiangjian Zeng","submitted_at":"2026-06-14T15:26:15Z","abstract_excerpt":"In this paper, we investigate the existence and qualitative properties of ground state solutions for the nonlocal Born-Infeld-Choquard problem\n  \\begin{equation*}\n  \\begin{cases}\n  -{\\rm div}\\left(\\frac{\\nabla u}{\\sqrt{1-|\\nabla u|^2}}\\right)+ \\omega u=\\big(I_\\alpha\\ast |u|^{p}\\big)|u|^{p-2}u, & \\hbox{in }\\mathbb{R}^N,\\; N\\geq 3,\n  \\\\[5mm]\n  u(x)\\to 0, &\\hbox{as }|x|\\to +\\infty.\n  \\end{cases}\n  \\end{equation*}\n  where $p>\\frac{N+\\alpha}{N}$, $\\omega=0,1$ and $0<\\alpha<N$.\n  The equation is driven by the mean curvature operator in Lorentz-Minkowski space, motivated by the Born-Infeld nonlinear "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.15858","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.15858/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2606.15858","created_at":"2026-07-01T01:17:52.954907+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.15858v2","created_at":"2026-07-01T01:17:52.954907+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.15858","created_at":"2026-07-01T01:17:52.954907+00:00"},{"alias_kind":"pith_short_12","alias_value":"CMSPCT3F6DP5","created_at":"2026-07-01T01:17:52.954907+00:00"},{"alias_kind":"pith_short_16","alias_value":"CMSPCT3F6DP5QE6O","created_at":"2026-07-01T01:17:52.954907+00:00"},{"alias_kind":"pith_short_8","alias_value":"CMSPCT3F","created_at":"2026-07-01T01:17:52.954907+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/CMSPCT3F6DP5QE6OJ35ZB4O2RD","json":"https://pith.science/pith/CMSPCT3F6DP5QE6OJ35ZB4O2RD.json","graph_json":"https://pith.science/api/pith-number/CMSPCT3F6DP5QE6OJ35ZB4O2RD/graph.json","events_json":"https://pith.science/api/pith-number/CMSPCT3F6DP5QE6OJ35ZB4O2RD/events.json","paper":"https://pith.science/paper/CMSPCT3F"},"agent_actions":{"view_html":"https://pith.science/pith/CMSPCT3F6DP5QE6OJ35ZB4O2RD","download_json":"https://pith.science/pith/CMSPCT3F6DP5QE6OJ35ZB4O2RD.json","view_paper":"https://pith.science/paper/CMSPCT3F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.15858&json=true","fetch_graph":"https://pith.science/api/pith-number/CMSPCT3F6DP5QE6OJ35ZB4O2RD/graph.json","fetch_events":"https://pith.science/api/pith-number/CMSPCT3F6DP5QE6OJ35ZB4O2RD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CMSPCT3F6DP5QE6OJ35ZB4O2RD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CMSPCT3F6DP5QE6OJ35ZB4O2RD/action/storage_attestation","attest_author":"https://pith.science/pith/CMSPCT3F6DP5QE6OJ35ZB4O2RD/action/author_attestation","sign_citation":"https://pith.science/pith/CMSPCT3F6DP5QE6OJ35ZB4O2RD/action/citation_signature","submit_replication":"https://pith.science/pith/CMSPCT3F6DP5QE6OJ35ZB4O2RD/action/replication_record"}},"created_at":"2026-07-01T01:17:52.954907+00:00","updated_at":"2026-07-01T01:17:52.954907+00:00"}