{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:FHPFCAATOEUHIUE5S6Y4GGLANF","short_pith_number":"pith:FHPFCAAT","schema_version":"1.0","canonical_sha256":"29de510013712874509d97b1c31960696fd9bf58c7d76a0bb42884bcc5dd825f","source":{"kind":"arxiv","id":"1212.1316","version":1},"attestation_state":"computed","paper":{"title":"Macroscopic quantum tunneling of Bose-Einstein condensates with long-range interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"G\\\"unter Wunner, Holger Cartarius, J\\\"org Main, Kai Marquardt, Pascal Wieland, Rolf H\\\"afner","submitted_at":"2012-12-06T13:11:10Z","abstract_excerpt":"The ground state of Bose-Einstein condensates with attractive particle interaction is metastable. One of the decay mechanisms of the condensate is a collapse by macroscopic quantum tunneling, which can be described by the bounce trajectory as solution of the time-dependent Gross-Pitaevskii equation in imaginary time. For condensates with an electromagnetically induced gravity-like interaction the bounce trajectory is computed with an extended variational approach using coupled Gaussian functions and simulated numerically exact within the mean-field approach on a space-time lattice. It is shown"},"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":"1212.1316","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-12-06T13:11:10Z","cross_cats_sorted":["nlin.CD","quant-ph"],"title_canon_sha256":"cb4896e8e636207de6c4c32385f7c4f47535130434272a8f78e500c53a1d76c5","abstract_canon_sha256":"62c5d1f9dacbee55d59e1124725304b2bb11b787c1f81558703603f19f33e143"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:28.742044Z","signature_b64":"5oVWCs4/3E6l724VaOzBaZzBNBf+E1IGH7KgGCOQrDo/FEQwwkE/C+F0skGLvQJN5T9rwFY6LDN/XLlFX5oCCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29de510013712874509d97b1c31960696fd9bf58c7d76a0bb42884bcc5dd825f","last_reissued_at":"2026-05-18T03:37:28.741475Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:28.741475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Macroscopic quantum tunneling of Bose-Einstein condensates with long-range interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"G\\\"unter Wunner, Holger Cartarius, J\\\"org Main, Kai Marquardt, Pascal Wieland, Rolf H\\\"afner","submitted_at":"2012-12-06T13:11:10Z","abstract_excerpt":"The ground state of Bose-Einstein condensates with attractive particle interaction is metastable. One of the decay mechanisms of the condensate is a collapse by macroscopic quantum tunneling, which can be described by the bounce trajectory as solution of the time-dependent Gross-Pitaevskii equation in imaginary time. For condensates with an electromagnetically induced gravity-like interaction the bounce trajectory is computed with an extended variational approach using coupled Gaussian functions and simulated numerically exact within the mean-field approach on a space-time lattice. It is shown"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1316","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":"1212.1316","created_at":"2026-05-18T03:37:28.741544+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.1316v1","created_at":"2026-05-18T03:37:28.741544+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1316","created_at":"2026-05-18T03:37:28.741544+00:00"},{"alias_kind":"pith_short_12","alias_value":"FHPFCAATOEUH","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"FHPFCAATOEUHIUE5","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"FHPFCAAT","created_at":"2026-05-18T12:27:06.952714+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/FHPFCAATOEUHIUE5S6Y4GGLANF","json":"https://pith.science/pith/FHPFCAATOEUHIUE5S6Y4GGLANF.json","graph_json":"https://pith.science/api/pith-number/FHPFCAATOEUHIUE5S6Y4GGLANF/graph.json","events_json":"https://pith.science/api/pith-number/FHPFCAATOEUHIUE5S6Y4GGLANF/events.json","paper":"https://pith.science/paper/FHPFCAAT"},"agent_actions":{"view_html":"https://pith.science/pith/FHPFCAATOEUHIUE5S6Y4GGLANF","download_json":"https://pith.science/pith/FHPFCAATOEUHIUE5S6Y4GGLANF.json","view_paper":"https://pith.science/paper/FHPFCAAT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.1316&json=true","fetch_graph":"https://pith.science/api/pith-number/FHPFCAATOEUHIUE5S6Y4GGLANF/graph.json","fetch_events":"https://pith.science/api/pith-number/FHPFCAATOEUHIUE5S6Y4GGLANF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FHPFCAATOEUHIUE5S6Y4GGLANF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FHPFCAATOEUHIUE5S6Y4GGLANF/action/storage_attestation","attest_author":"https://pith.science/pith/FHPFCAATOEUHIUE5S6Y4GGLANF/action/author_attestation","sign_citation":"https://pith.science/pith/FHPFCAATOEUHIUE5S6Y4GGLANF/action/citation_signature","submit_replication":"https://pith.science/pith/FHPFCAATOEUHIUE5S6Y4GGLANF/action/replication_record"}},"created_at":"2026-05-18T03:37:28.741544+00:00","updated_at":"2026-05-18T03:37:28.741544+00:00"}