{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:6FRWSJJFLDKTLLQYWB4KCAO33A","short_pith_number":"pith:6FRWSJJF","schema_version":"1.0","canonical_sha256":"f16369252558d535ae18b078a101dbd836969fb9d57c89d96978b26adeddfc48","source":{"kind":"arxiv","id":"1508.02011","version":4},"attestation_state":"computed","paper":{"title":"A generalized Lieb-Liniger model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.quant-gas","authors_text":"Hagar Veksler, Shmuel Fishman","submitted_at":"2015-08-09T11:21:25Z","abstract_excerpt":"In 1963, Lieb and Liniger solved exactly a one dimensional model of bosons interacting by a repulsive \\delta-potential and calculated the ground state in the thermodynamic limit. In the present work, we extend this model to a potential of three \\delta-functions, one of them is repulsive and the other two are attractive, modeling some aspects of the interaction between atoms, and present an approximate solution for a dilute gas. In this limit, for low energy states, the results are found to be reduced to the ones of an effective Lieb Liniger model with an effective \\delta-function of strength $"},"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":"1508.02011","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-08-09T11:21:25Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a1f154c868b0d9021ad21c4f9f2d00432a5fd6e77cbc8b25a35ffa1ff22e1061","abstract_canon_sha256":"f13a1bcb7a76fa215956fd39a9e158a15f8502e089173c1a9a11dcd7d1af6c7f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:45.551680Z","signature_b64":"X3O2Ku5G+hcQn1eBHjOYUFDviPqlr+tbT6Um1lNRpVD5H7P0jo/Xg2yTdDIQmKdIcS4xPlm6GiXEn5G3UzoRBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f16369252558d535ae18b078a101dbd836969fb9d57c89d96978b26adeddfc48","last_reissued_at":"2026-05-18T01:20:45.551273Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:45.551273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A generalized Lieb-Liniger model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.quant-gas","authors_text":"Hagar Veksler, Shmuel Fishman","submitted_at":"2015-08-09T11:21:25Z","abstract_excerpt":"In 1963, Lieb and Liniger solved exactly a one dimensional model of bosons interacting by a repulsive \\delta-potential and calculated the ground state in the thermodynamic limit. In the present work, we extend this model to a potential of three \\delta-functions, one of them is repulsive and the other two are attractive, modeling some aspects of the interaction between atoms, and present an approximate solution for a dilute gas. In this limit, for low energy states, the results are found to be reduced to the ones of an effective Lieb Liniger model with an effective \\delta-function of strength $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02011","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":""},"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":"1508.02011","created_at":"2026-05-18T01:20:45.551340+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.02011v4","created_at":"2026-05-18T01:20:45.551340+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02011","created_at":"2026-05-18T01:20:45.551340+00:00"},{"alias_kind":"pith_short_12","alias_value":"6FRWSJJFLDKT","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6FRWSJJFLDKTLLQY","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6FRWSJJF","created_at":"2026-05-18T12:29:07.941421+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/6FRWSJJFLDKTLLQYWB4KCAO33A","json":"https://pith.science/pith/6FRWSJJFLDKTLLQYWB4KCAO33A.json","graph_json":"https://pith.science/api/pith-number/6FRWSJJFLDKTLLQYWB4KCAO33A/graph.json","events_json":"https://pith.science/api/pith-number/6FRWSJJFLDKTLLQYWB4KCAO33A/events.json","paper":"https://pith.science/paper/6FRWSJJF"},"agent_actions":{"view_html":"https://pith.science/pith/6FRWSJJFLDKTLLQYWB4KCAO33A","download_json":"https://pith.science/pith/6FRWSJJFLDKTLLQYWB4KCAO33A.json","view_paper":"https://pith.science/paper/6FRWSJJF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.02011&json=true","fetch_graph":"https://pith.science/api/pith-number/6FRWSJJFLDKTLLQYWB4KCAO33A/graph.json","fetch_events":"https://pith.science/api/pith-number/6FRWSJJFLDKTLLQYWB4KCAO33A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6FRWSJJFLDKTLLQYWB4KCAO33A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6FRWSJJFLDKTLLQYWB4KCAO33A/action/storage_attestation","attest_author":"https://pith.science/pith/6FRWSJJFLDKTLLQYWB4KCAO33A/action/author_attestation","sign_citation":"https://pith.science/pith/6FRWSJJFLDKTLLQYWB4KCAO33A/action/citation_signature","submit_replication":"https://pith.science/pith/6FRWSJJFLDKTLLQYWB4KCAO33A/action/replication_record"}},"created_at":"2026-05-18T01:20:45.551340+00:00","updated_at":"2026-05-18T01:20:45.551340+00:00"}