{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:PSP4ZR2EB27SC5T66Z32OIEFJI","short_pith_number":"pith:PSP4ZR2E","schema_version":"1.0","canonical_sha256":"7c9fccc7440ebf21767ef677a720854a1c5ef4760c418dabe711527ecf08093e","source":{"kind":"arxiv","id":"1209.6094","version":1},"attestation_state":"computed","paper":{"title":"Efficient determination of the energy landscape of nonlinear Schr\\\"odinger-type equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con","quant-ph"],"primary_cat":"physics.comp-ph","authors_text":"Bart Partoens, Daniele Avitabile, Milorad V. Milo\\v{s}evi\\'c, Nico Schl\\\"omer, Wim Vanroose","submitted_at":"2012-09-26T23:16:11Z","abstract_excerpt":"We describe a systematic approach for the efficient numerical solution of nonlinear Schr\\\"odinger-type partial differential equations of the form $(K +V + g|\\psi|^2)\\psi=0$, with an energy operator $K$, a scalar potential $V$, and a scalar parameter $g$. Instrumental to the approach are developments in numerical linear and nonlinear algebra, specifically numerical parameter continuation. We demonstrate how a continuous sequence of solutions can be obtained regardless of their stability, so that finally the spectrum of stable and unstable solutions in the specified parameter range is fully reve"},"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":"1209.6094","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-09-26T23:16:11Z","cross_cats_sorted":["cond-mat.supr-con","quant-ph"],"title_canon_sha256":"9f8be1c173f60838e2fe1c374dc8a1906f4d16a9e80be54d7ceb7d1bfd8d82f6","abstract_canon_sha256":"433550908079c5e87df0afaa5fe02ff6a1c2e1f410121779c092dd46899e05b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:05.702365Z","signature_b64":"3GSUMJvSAVAsvOXmMG7yyp+Ccf6sHGbIqnC3q2fPQEQACBYqhrOQAEJYWFbyr1/Qsf+IBF9ImdjcWmhr1UAEAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c9fccc7440ebf21767ef677a720854a1c5ef4760c418dabe711527ecf08093e","last_reissued_at":"2026-05-18T02:25:05.701921Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:05.701921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient determination of the energy landscape of nonlinear Schr\\\"odinger-type equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con","quant-ph"],"primary_cat":"physics.comp-ph","authors_text":"Bart Partoens, Daniele Avitabile, Milorad V. Milo\\v{s}evi\\'c, Nico Schl\\\"omer, Wim Vanroose","submitted_at":"2012-09-26T23:16:11Z","abstract_excerpt":"We describe a systematic approach for the efficient numerical solution of nonlinear Schr\\\"odinger-type partial differential equations of the form $(K +V + g|\\psi|^2)\\psi=0$, with an energy operator $K$, a scalar potential $V$, and a scalar parameter $g$. Instrumental to the approach are developments in numerical linear and nonlinear algebra, specifically numerical parameter continuation. We demonstrate how a continuous sequence of solutions can be obtained regardless of their stability, so that finally the spectrum of stable and unstable solutions in the specified parameter range is fully reve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.6094","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":"1209.6094","created_at":"2026-05-18T02:25:05.701978+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.6094v1","created_at":"2026-05-18T02:25:05.701978+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.6094","created_at":"2026-05-18T02:25:05.701978+00:00"},{"alias_kind":"pith_short_12","alias_value":"PSP4ZR2EB27S","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PSP4ZR2EB27SC5T6","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PSP4ZR2E","created_at":"2026-05-18T12:27:18.751474+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/PSP4ZR2EB27SC5T66Z32OIEFJI","json":"https://pith.science/pith/PSP4ZR2EB27SC5T66Z32OIEFJI.json","graph_json":"https://pith.science/api/pith-number/PSP4ZR2EB27SC5T66Z32OIEFJI/graph.json","events_json":"https://pith.science/api/pith-number/PSP4ZR2EB27SC5T66Z32OIEFJI/events.json","paper":"https://pith.science/paper/PSP4ZR2E"},"agent_actions":{"view_html":"https://pith.science/pith/PSP4ZR2EB27SC5T66Z32OIEFJI","download_json":"https://pith.science/pith/PSP4ZR2EB27SC5T66Z32OIEFJI.json","view_paper":"https://pith.science/paper/PSP4ZR2E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.6094&json=true","fetch_graph":"https://pith.science/api/pith-number/PSP4ZR2EB27SC5T66Z32OIEFJI/graph.json","fetch_events":"https://pith.science/api/pith-number/PSP4ZR2EB27SC5T66Z32OIEFJI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PSP4ZR2EB27SC5T66Z32OIEFJI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PSP4ZR2EB27SC5T66Z32OIEFJI/action/storage_attestation","attest_author":"https://pith.science/pith/PSP4ZR2EB27SC5T66Z32OIEFJI/action/author_attestation","sign_citation":"https://pith.science/pith/PSP4ZR2EB27SC5T66Z32OIEFJI/action/citation_signature","submit_replication":"https://pith.science/pith/PSP4ZR2EB27SC5T66Z32OIEFJI/action/replication_record"}},"created_at":"2026-05-18T02:25:05.701978+00:00","updated_at":"2026-05-18T02:25:05.701978+00:00"}