{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:3IGW3ANS6VKO4XHEDE3NPSC7JT","short_pith_number":"pith:3IGW3ANS","schema_version":"1.0","canonical_sha256":"da0d6d81b2f554ee5ce41936d7c85f4cf23c8720bd191b7424559a1312cd5e69","source":{"kind":"arxiv","id":"1303.0132","version":2},"attestation_state":"computed","paper":{"title":"Spectral singularities in PT-symmetric Bose-Einstein condensates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","nlin.CD"],"primary_cat":"quant-ph","authors_text":"G. Wunner, H. Cartarius, J. Main, W. D. Heiss","submitted_at":"2013-03-01T10:15:14Z","abstract_excerpt":"We consider the model of a PT-symmetric Bose-Einstein condensate in a delta-functions double-well potential. We demonstrate that analytic continuation of the primarily non-analytic term |psi|^2 psi - occurring in the underlying Gross-Pitaevskii equation - yields new branch points where three levels coalesce. We show numerically that the new branch points exhibit the behaviour of exceptional points of second and third order. A matrix model which confirms the numerical findings in analytic terms is given."},"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":"1303.0132","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-01T10:15:14Z","cross_cats_sorted":["cond-mat.quant-gas","nlin.CD"],"title_canon_sha256":"1bc48ddab641576ad6c335d9199f4915d62deae0341db19a381531b362468cd2","abstract_canon_sha256":"965e5a0de19541acd6fde77415283f3bdc55d05792555fdca2c3282b609baae7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:35.099338Z","signature_b64":"i5GxbYeeTNFvzmkciH4+atsiYoV4TzVLKqaJdLK5sKFpLqh8MLcTaxUtY5kDVWq/QTw6t9af0t1O7ONj+QLjBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da0d6d81b2f554ee5ce41936d7c85f4cf23c8720bd191b7424559a1312cd5e69","last_reissued_at":"2026-05-18T03:20:35.098360Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:35.098360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral singularities in PT-symmetric Bose-Einstein condensates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","nlin.CD"],"primary_cat":"quant-ph","authors_text":"G. Wunner, H. Cartarius, J. Main, W. D. Heiss","submitted_at":"2013-03-01T10:15:14Z","abstract_excerpt":"We consider the model of a PT-symmetric Bose-Einstein condensate in a delta-functions double-well potential. We demonstrate that analytic continuation of the primarily non-analytic term |psi|^2 psi - occurring in the underlying Gross-Pitaevskii equation - yields new branch points where three levels coalesce. We show numerically that the new branch points exhibit the behaviour of exceptional points of second and third order. A matrix model which confirms the numerical findings in analytic terms is given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0132","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":"1303.0132","created_at":"2026-05-18T03:20:35.098533+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.0132v2","created_at":"2026-05-18T03:20:35.098533+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0132","created_at":"2026-05-18T03:20:35.098533+00:00"},{"alias_kind":"pith_short_12","alias_value":"3IGW3ANS6VKO","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"3IGW3ANS6VKO4XHE","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"3IGW3ANS","created_at":"2026-05-18T12:27:32.513160+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/3IGW3ANS6VKO4XHEDE3NPSC7JT","json":"https://pith.science/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT.json","graph_json":"https://pith.science/api/pith-number/3IGW3ANS6VKO4XHEDE3NPSC7JT/graph.json","events_json":"https://pith.science/api/pith-number/3IGW3ANS6VKO4XHEDE3NPSC7JT/events.json","paper":"https://pith.science/paper/3IGW3ANS"},"agent_actions":{"view_html":"https://pith.science/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT","download_json":"https://pith.science/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT.json","view_paper":"https://pith.science/paper/3IGW3ANS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.0132&json=true","fetch_graph":"https://pith.science/api/pith-number/3IGW3ANS6VKO4XHEDE3NPSC7JT/graph.json","fetch_events":"https://pith.science/api/pith-number/3IGW3ANS6VKO4XHEDE3NPSC7JT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT/action/storage_attestation","attest_author":"https://pith.science/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT/action/author_attestation","sign_citation":"https://pith.science/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT/action/citation_signature","submit_replication":"https://pith.science/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT/action/replication_record"}},"created_at":"2026-05-18T03:20:35.098533+00:00","updated_at":"2026-05-18T03:20:35.098533+00:00"}