{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:GA5WS2KNMUCC2KLAHQNOT6FUZF","short_pith_number":"pith:GA5WS2KN","schema_version":"1.0","canonical_sha256":"303b69694d65042d29603c1ae9f8b4c96ac6797f776a1cb343ff00889b5a8868","source":{"kind":"arxiv","id":"1401.4487","version":1},"attestation_state":"computed","paper":{"title":"Ground states for scalar field equations with anisotropic nonlocal nonlinearities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Antonio Iannizzotto, Kanishka Perera, Marco Squassina","submitted_at":"2014-01-17T22:50:00Z","abstract_excerpt":"We consider a class of scalar field equations with anisotropic nonlocal nonlinearities. We obtain a suitable extension of the well-known compactness lemma of Benci and Cerami to this variable exponent setting, and use it to prove that the Palais-Smale condition holds at all level below a certain threshold. We deduce the existence of a ground state when the variable exponent slowly approaches the limit at infinity from below."},"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":"1401.4487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-17T22:50:00Z","cross_cats_sorted":[],"title_canon_sha256":"abf0afc9a94b0fd1ba36133cb3ddb951f049ac5e5a2e2ae9671db1bb5006b4be","abstract_canon_sha256":"33cb43cbe59d8b63ad9b7bbb84ff34857fd1d6456bd4b1b45d467b545474fa7d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:45.548933Z","signature_b64":"/5cyUAZZKP0yPj0V6+bcNN8IWhAq5crIKjr232++Fgd+kwokxxBUl8ZI910ibAKqjpC80cZbEqfLvicYDecBDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"303b69694d65042d29603c1ae9f8b4c96ac6797f776a1cb343ff00889b5a8868","last_reissued_at":"2026-05-18T03:01:45.548334Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:45.548334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ground states for scalar field equations with anisotropic nonlocal nonlinearities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Antonio Iannizzotto, Kanishka Perera, Marco Squassina","submitted_at":"2014-01-17T22:50:00Z","abstract_excerpt":"We consider a class of scalar field equations with anisotropic nonlocal nonlinearities. We obtain a suitable extension of the well-known compactness lemma of Benci and Cerami to this variable exponent setting, and use it to prove that the Palais-Smale condition holds at all level below a certain threshold. We deduce the existence of a ground state when the variable exponent slowly approaches the limit at infinity from below."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4487","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":"1401.4487","created_at":"2026-05-18T03:01:45.548422+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.4487v1","created_at":"2026-05-18T03:01:45.548422+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.4487","created_at":"2026-05-18T03:01:45.548422+00:00"},{"alias_kind":"pith_short_12","alias_value":"GA5WS2KNMUCC","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"GA5WS2KNMUCC2KLA","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"GA5WS2KN","created_at":"2026-05-18T12:28:28.263976+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/GA5WS2KNMUCC2KLAHQNOT6FUZF","json":"https://pith.science/pith/GA5WS2KNMUCC2KLAHQNOT6FUZF.json","graph_json":"https://pith.science/api/pith-number/GA5WS2KNMUCC2KLAHQNOT6FUZF/graph.json","events_json":"https://pith.science/api/pith-number/GA5WS2KNMUCC2KLAHQNOT6FUZF/events.json","paper":"https://pith.science/paper/GA5WS2KN"},"agent_actions":{"view_html":"https://pith.science/pith/GA5WS2KNMUCC2KLAHQNOT6FUZF","download_json":"https://pith.science/pith/GA5WS2KNMUCC2KLAHQNOT6FUZF.json","view_paper":"https://pith.science/paper/GA5WS2KN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.4487&json=true","fetch_graph":"https://pith.science/api/pith-number/GA5WS2KNMUCC2KLAHQNOT6FUZF/graph.json","fetch_events":"https://pith.science/api/pith-number/GA5WS2KNMUCC2KLAHQNOT6FUZF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GA5WS2KNMUCC2KLAHQNOT6FUZF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GA5WS2KNMUCC2KLAHQNOT6FUZF/action/storage_attestation","attest_author":"https://pith.science/pith/GA5WS2KNMUCC2KLAHQNOT6FUZF/action/author_attestation","sign_citation":"https://pith.science/pith/GA5WS2KNMUCC2KLAHQNOT6FUZF/action/citation_signature","submit_replication":"https://pith.science/pith/GA5WS2KNMUCC2KLAHQNOT6FUZF/action/replication_record"}},"created_at":"2026-05-18T03:01:45.548422+00:00","updated_at":"2026-05-18T03:01:45.548422+00:00"}