{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:G25SVZE3XVHTE6QGBWYYXSLCLU","short_pith_number":"pith:G25SVZE3","schema_version":"1.0","canonical_sha256":"36bb2ae49bbd4f327a060db18bc9625d25f59aa00e1895da5c239f51f40aa66f","source":{"kind":"arxiv","id":"nlin/0308024","version":4},"attestation_state":"computed","paper":{"title":"A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates","license":"","headline":"","cross_cats":["cond-mat","nlin.PS"],"primary_cat":"nlin.CD","authors_text":"Mason A. Porter, Predrag Cvitanovic'","submitted_at":"2003-08-20T19:31:54Z","abstract_excerpt":"We apply Lindstedt's method and multiple scale perturbation theory to analyze spatio-temporal structures in nonlinear Schr\\\"odinger equations and thereby study the dynamics of quasi-one-dimensional Bose-Einstein condensates with mean-field interactions. We determine the dependence of the intensity of modulated amplitude waves on their wave number. We also explore the band structure of Bose-Einstein condensates in detail using Hamiltonian perturbation theory and supporting numerical simulations."},"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":"nlin/0308024","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2003-08-20T19:31:54Z","cross_cats_sorted":["cond-mat","nlin.PS"],"title_canon_sha256":"4ef6f382b340c884dad47490f14f017d741881654b0e51fbc7689443cf5c6ad4","abstract_canon_sha256":"a7da1d0ac0d7db80893362767ed431e79d6ad3f133169f7dabdadb64ba07f9f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:41:45.490129Z","signature_b64":"69IsoUkdFnrm8h/MdQ94We3WDcw1SgtFaWk2nqV5ZeCuEtTUIjzhehl4Fd4hy9Rx+82/DgAZZ13oDuhoN7n6DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36bb2ae49bbd4f327a060db18bc9625d25f59aa00e1895da5c239f51f40aa66f","last_reissued_at":"2026-07-04T16:41:45.489782Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:41:45.489782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates","license":"","headline":"","cross_cats":["cond-mat","nlin.PS"],"primary_cat":"nlin.CD","authors_text":"Mason A. Porter, Predrag Cvitanovic'","submitted_at":"2003-08-20T19:31:54Z","abstract_excerpt":"We apply Lindstedt's method and multiple scale perturbation theory to analyze spatio-temporal structures in nonlinear Schr\\\"odinger equations and thereby study the dynamics of quasi-one-dimensional Bose-Einstein condensates with mean-field interactions. We determine the dependence of the intensity of modulated amplitude waves on their wave number. We also explore the band structure of Bose-Einstein condensates in detail using Hamiltonian perturbation theory and supporting numerical simulations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0308024","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/nlin/0308024/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"nlin/0308024","created_at":"2026-07-04T16:41:45.489843+00:00"},{"alias_kind":"arxiv_version","alias_value":"nlin/0308024v4","created_at":"2026-07-04T16:41:45.489843+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0308024","created_at":"2026-07-04T16:41:45.489843+00:00"},{"alias_kind":"pith_short_12","alias_value":"G25SVZE3XVHT","created_at":"2026-07-04T16:41:45.489843+00:00"},{"alias_kind":"pith_short_16","alias_value":"G25SVZE3XVHTE6QG","created_at":"2026-07-04T16:41:45.489843+00:00"},{"alias_kind":"pith_short_8","alias_value":"G25SVZE3","created_at":"2026-07-04T16:41:45.489843+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/G25SVZE3XVHTE6QGBWYYXSLCLU","json":"https://pith.science/pith/G25SVZE3XVHTE6QGBWYYXSLCLU.json","graph_json":"https://pith.science/api/pith-number/G25SVZE3XVHTE6QGBWYYXSLCLU/graph.json","events_json":"https://pith.science/api/pith-number/G25SVZE3XVHTE6QGBWYYXSLCLU/events.json","paper":"https://pith.science/paper/G25SVZE3"},"agent_actions":{"view_html":"https://pith.science/pith/G25SVZE3XVHTE6QGBWYYXSLCLU","download_json":"https://pith.science/pith/G25SVZE3XVHTE6QGBWYYXSLCLU.json","view_paper":"https://pith.science/paper/G25SVZE3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=nlin/0308024&json=true","fetch_graph":"https://pith.science/api/pith-number/G25SVZE3XVHTE6QGBWYYXSLCLU/graph.json","fetch_events":"https://pith.science/api/pith-number/G25SVZE3XVHTE6QGBWYYXSLCLU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G25SVZE3XVHTE6QGBWYYXSLCLU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G25SVZE3XVHTE6QGBWYYXSLCLU/action/storage_attestation","attest_author":"https://pith.science/pith/G25SVZE3XVHTE6QGBWYYXSLCLU/action/author_attestation","sign_citation":"https://pith.science/pith/G25SVZE3XVHTE6QGBWYYXSLCLU/action/citation_signature","submit_replication":"https://pith.science/pith/G25SVZE3XVHTE6QGBWYYXSLCLU/action/replication_record"}},"created_at":"2026-07-04T16:41:45.489843+00:00","updated_at":"2026-07-04T16:41:45.489843+00:00"}