{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:DU3GQZ2DJ2QWT5KRKRAIP22MAU","short_pith_number":"pith:DU3GQZ2D","schema_version":"1.0","canonical_sha256":"1d366867434ea169f551544087eb4c0528f879f8a88d661886ce34bbadac6e1a","source":{"kind":"arxiv","id":"2507.02330","version":1},"attestation_state":"computed","paper":{"title":"Trapping by repulsion: the NLS with a delta-prime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Filippo Boni, Matteo Gallone, Riccardo Adami","submitted_at":"2025-07-03T05:46:35Z","abstract_excerpt":"We establish the existence and provide explicit expressions for the stationary states of the one-dimensional Schr\\\"odinger equation with a repulsive delta-prime potential and a focusing nonlinearity of power type. Furthermore, we prove that, if the nonlinearity is subcritical, then ground states exist for any strength of the delta-prime interaction and for every positive value of the mass.\n  This result supplies an example of ground states arising from a repulsive potential, a counterintuitive phenomenon explained by the emergence of an additional dimension in the energy space, induced by the "},"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":"2507.02330","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-07-03T05:46:35Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"3ccd53dd2b8f5a501b2d6373c9cb1972a3839ca93b229b66222491f025718f58","abstract_canon_sha256":"b927ac5bc1967c7831d18180461a9dcaed41dcd11c7eb3b7345431ce9bd29f45"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:31:16.119820Z","signature_b64":"ySVm3v7GN6okTblMYfcWOwqi+xuGJrNNIZ0WA6kqb2GRxAXw02iONHEA/ET+zH3vZG6OYuhv7g+UIe985nFWDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d366867434ea169f551544087eb4c0528f879f8a88d661886ce34bbadac6e1a","last_reissued_at":"2026-07-05T11:31:16.119386Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:31:16.119386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Trapping by repulsion: the NLS with a delta-prime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Filippo Boni, Matteo Gallone, Riccardo Adami","submitted_at":"2025-07-03T05:46:35Z","abstract_excerpt":"We establish the existence and provide explicit expressions for the stationary states of the one-dimensional Schr\\\"odinger equation with a repulsive delta-prime potential and a focusing nonlinearity of power type. Furthermore, we prove that, if the nonlinearity is subcritical, then ground states exist for any strength of the delta-prime interaction and for every positive value of the mass.\n  This result supplies an example of ground states arising from a repulsive potential, a counterintuitive phenomenon explained by the emergence of an additional dimension in the energy space, induced by the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.02330","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.02330/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":"2507.02330","created_at":"2026-07-05T11:31:16.119445+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.02330v1","created_at":"2026-07-05T11:31:16.119445+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.02330","created_at":"2026-07-05T11:31:16.119445+00:00"},{"alias_kind":"pith_short_12","alias_value":"DU3GQZ2DJ2QW","created_at":"2026-07-05T11:31:16.119445+00:00"},{"alias_kind":"pith_short_16","alias_value":"DU3GQZ2DJ2QWT5KR","created_at":"2026-07-05T11:31:16.119445+00:00"},{"alias_kind":"pith_short_8","alias_value":"DU3GQZ2D","created_at":"2026-07-05T11:31:16.119445+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/DU3GQZ2DJ2QWT5KRKRAIP22MAU","json":"https://pith.science/pith/DU3GQZ2DJ2QWT5KRKRAIP22MAU.json","graph_json":"https://pith.science/api/pith-number/DU3GQZ2DJ2QWT5KRKRAIP22MAU/graph.json","events_json":"https://pith.science/api/pith-number/DU3GQZ2DJ2QWT5KRKRAIP22MAU/events.json","paper":"https://pith.science/paper/DU3GQZ2D"},"agent_actions":{"view_html":"https://pith.science/pith/DU3GQZ2DJ2QWT5KRKRAIP22MAU","download_json":"https://pith.science/pith/DU3GQZ2DJ2QWT5KRKRAIP22MAU.json","view_paper":"https://pith.science/paper/DU3GQZ2D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.02330&json=true","fetch_graph":"https://pith.science/api/pith-number/DU3GQZ2DJ2QWT5KRKRAIP22MAU/graph.json","fetch_events":"https://pith.science/api/pith-number/DU3GQZ2DJ2QWT5KRKRAIP22MAU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DU3GQZ2DJ2QWT5KRKRAIP22MAU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DU3GQZ2DJ2QWT5KRKRAIP22MAU/action/storage_attestation","attest_author":"https://pith.science/pith/DU3GQZ2DJ2QWT5KRKRAIP22MAU/action/author_attestation","sign_citation":"https://pith.science/pith/DU3GQZ2DJ2QWT5KRKRAIP22MAU/action/citation_signature","submit_replication":"https://pith.science/pith/DU3GQZ2DJ2QWT5KRKRAIP22MAU/action/replication_record"}},"created_at":"2026-07-05T11:31:16.119445+00:00","updated_at":"2026-07-05T11:31:16.119445+00:00"}