{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:5GBE3C7LYWBFIOTSLD6PI65GJU","short_pith_number":"pith:5GBE3C7L","schema_version":"1.0","canonical_sha256":"e9824d8bebc582543a7258fcf47ba64d2711dde6f8b6efe6e7d5a34c92231bd9","source":{"kind":"arxiv","id":"1703.10974","version":2},"attestation_state":"computed","paper":{"title":"Stability Analysis of a Bose-Einstein Condensate Trapped in a Generic Potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Celia Escamilla-Rivera, El\\'ias Castellanos, Mayra J. Reyes-Ibarra","submitted_at":"2017-03-31T16:35:49Z","abstract_excerpt":"We investigate the dynamical behavior of the Gross-Pitaevskii equation for a Bose-Einstein condensate trapped in a spherical power law potential restricted to the repulsive case, from the dynamical system formalism point of view. A five-dimensional dynamical system is found (due the symmetry of the Gross-Pitaevskii equation interacting with a potential), where the Thomas-Fermi approximation constrains the parameter space of solutions. We show that for values of the power law exponent equal or smaller than 2 the system seems to be stable. However, when the corresponding exponent is bigger than "},"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":"1703.10974","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-03-31T16:35:49Z","cross_cats_sorted":[],"title_canon_sha256":"851b8c9a78df648ee5c0896f6d30108b96b528b172da7a4cb6312ab80ecae3c6","abstract_canon_sha256":"8da5aa7820e6020d1ea18c44dbbe285005d60fd93e0fb5dfe58e7a1c68d4e689"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:34.579369Z","signature_b64":"Zvo3btUJzQbwUg5QEw47G8fuW2RGD2t6yz3D6V3LnlyRdVNHov80iwGnjvL8a6UpxaZEA/cCFPIUw2N9ndCWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9824d8bebc582543a7258fcf47ba64d2711dde6f8b6efe6e7d5a34c92231bd9","last_reissued_at":"2026-05-18T00:05:34.578972Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:34.578972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability Analysis of a Bose-Einstein Condensate Trapped in a Generic Potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Celia Escamilla-Rivera, El\\'ias Castellanos, Mayra J. Reyes-Ibarra","submitted_at":"2017-03-31T16:35:49Z","abstract_excerpt":"We investigate the dynamical behavior of the Gross-Pitaevskii equation for a Bose-Einstein condensate trapped in a spherical power law potential restricted to the repulsive case, from the dynamical system formalism point of view. A five-dimensional dynamical system is found (due the symmetry of the Gross-Pitaevskii equation interacting with a potential), where the Thomas-Fermi approximation constrains the parameter space of solutions. We show that for values of the power law exponent equal or smaller than 2 the system seems to be stable. However, when the corresponding exponent is bigger than "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10974","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":"1703.10974","created_at":"2026-05-18T00:05:34.579034+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.10974v2","created_at":"2026-05-18T00:05:34.579034+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10974","created_at":"2026-05-18T00:05:34.579034+00:00"},{"alias_kind":"pith_short_12","alias_value":"5GBE3C7LYWBF","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"5GBE3C7LYWBFIOTS","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"5GBE3C7L","created_at":"2026-05-18T12:31:00.734936+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/5GBE3C7LYWBFIOTSLD6PI65GJU","json":"https://pith.science/pith/5GBE3C7LYWBFIOTSLD6PI65GJU.json","graph_json":"https://pith.science/api/pith-number/5GBE3C7LYWBFIOTSLD6PI65GJU/graph.json","events_json":"https://pith.science/api/pith-number/5GBE3C7LYWBFIOTSLD6PI65GJU/events.json","paper":"https://pith.science/paper/5GBE3C7L"},"agent_actions":{"view_html":"https://pith.science/pith/5GBE3C7LYWBFIOTSLD6PI65GJU","download_json":"https://pith.science/pith/5GBE3C7LYWBFIOTSLD6PI65GJU.json","view_paper":"https://pith.science/paper/5GBE3C7L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.10974&json=true","fetch_graph":"https://pith.science/api/pith-number/5GBE3C7LYWBFIOTSLD6PI65GJU/graph.json","fetch_events":"https://pith.science/api/pith-number/5GBE3C7LYWBFIOTSLD6PI65GJU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5GBE3C7LYWBFIOTSLD6PI65GJU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5GBE3C7LYWBFIOTSLD6PI65GJU/action/storage_attestation","attest_author":"https://pith.science/pith/5GBE3C7LYWBFIOTSLD6PI65GJU/action/author_attestation","sign_citation":"https://pith.science/pith/5GBE3C7LYWBFIOTSLD6PI65GJU/action/citation_signature","submit_replication":"https://pith.science/pith/5GBE3C7LYWBFIOTSLD6PI65GJU/action/replication_record"}},"created_at":"2026-05-18T00:05:34.579034+00:00","updated_at":"2026-05-18T00:05:34.579034+00:00"}