{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:QDZJT325MI37DJT3I3ONRBXU5U","short_pith_number":"pith:QDZJT325","schema_version":"1.0","canonical_sha256":"80f299ef5d6237f1a67b46dcd886f4ed225f326e78cf893ceb263acd0be1c3ab","source":{"kind":"arxiv","id":"1811.07801","version":2},"attestation_state":"computed","paper":{"title":"Painlev\\'e-II profile of the shadow kink in the theory of light-matter interaction in nematic liquid crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christos Sourdis","submitted_at":"2018-11-19T16:57:51Z","abstract_excerpt":"We confirm a prediction that the recently introduced shadow kink defect in the theory of light-matter interaction in nematic liquid crystals is described to main order by a solution of the Painlev\\'e-II equation which changes sign once in the whole real line. Our result implies that such a solution of the latter equation is energy minimizing with respect to compactly supported perturbations."},"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":"1811.07801","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-19T16:57:51Z","cross_cats_sorted":[],"title_canon_sha256":"68186b0a05eb3d4861699a6e890de05e336f3fcd908075b3b4b66ae6614e5c96","abstract_canon_sha256":"760391c19e7689212489edf5337680d06e8346f78fdf991a23291be782ffddce"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:31.498547Z","signature_b64":"4KJ4Ka+Fsed/Z3w9pwl6Ppiekkdm6dCmbPhDw+3rJ/kQSMQ/ROpftqqX+GfwdCbe/ms2vLOcJe+4s62/0ZG9BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80f299ef5d6237f1a67b46dcd886f4ed225f326e78cf893ceb263acd0be1c3ab","last_reissued_at":"2026-05-17T23:48:31.497898Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:31.497898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Painlev\\'e-II profile of the shadow kink in the theory of light-matter interaction in nematic liquid crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christos Sourdis","submitted_at":"2018-11-19T16:57:51Z","abstract_excerpt":"We confirm a prediction that the recently introduced shadow kink defect in the theory of light-matter interaction in nematic liquid crystals is described to main order by a solution of the Painlev\\'e-II equation which changes sign once in the whole real line. Our result implies that such a solution of the latter equation is energy minimizing with respect to compactly supported perturbations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07801","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":""},"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":"1811.07801","created_at":"2026-05-17T23:48:31.497981+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.07801v2","created_at":"2026-05-17T23:48:31.497981+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.07801","created_at":"2026-05-17T23:48:31.497981+00:00"},{"alias_kind":"pith_short_12","alias_value":"QDZJT325MI37","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_16","alias_value":"QDZJT325MI37DJT3","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_8","alias_value":"QDZJT325","created_at":"2026-05-18T12:32:46.962924+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/QDZJT325MI37DJT3I3ONRBXU5U","json":"https://pith.science/pith/QDZJT325MI37DJT3I3ONRBXU5U.json","graph_json":"https://pith.science/api/pith-number/QDZJT325MI37DJT3I3ONRBXU5U/graph.json","events_json":"https://pith.science/api/pith-number/QDZJT325MI37DJT3I3ONRBXU5U/events.json","paper":"https://pith.science/paper/QDZJT325"},"agent_actions":{"view_html":"https://pith.science/pith/QDZJT325MI37DJT3I3ONRBXU5U","download_json":"https://pith.science/pith/QDZJT325MI37DJT3I3ONRBXU5U.json","view_paper":"https://pith.science/paper/QDZJT325","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.07801&json=true","fetch_graph":"https://pith.science/api/pith-number/QDZJT325MI37DJT3I3ONRBXU5U/graph.json","fetch_events":"https://pith.science/api/pith-number/QDZJT325MI37DJT3I3ONRBXU5U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QDZJT325MI37DJT3I3ONRBXU5U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QDZJT325MI37DJT3I3ONRBXU5U/action/storage_attestation","attest_author":"https://pith.science/pith/QDZJT325MI37DJT3I3ONRBXU5U/action/author_attestation","sign_citation":"https://pith.science/pith/QDZJT325MI37DJT3I3ONRBXU5U/action/citation_signature","submit_replication":"https://pith.science/pith/QDZJT325MI37DJT3I3ONRBXU5U/action/replication_record"}},"created_at":"2026-05-17T23:48:31.497981+00:00","updated_at":"2026-05-17T23:48:31.497981+00:00"}