{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:7RHDFUL2RXJQ5QTJEMLORJ4AKA","short_pith_number":"pith:7RHDFUL2","schema_version":"1.0","canonical_sha256":"fc4e32d17a8dd30ec2692316e8a780503ba77d4924f2e2ea16e9744d2093e394","source":{"kind":"arxiv","id":"cond-mat/0405660","version":2},"attestation_state":"computed","paper":{"title":"Universal Properties of the Four-Boson System in Two Dimensions","license":"","headline":"","cross_cats":["nucl-th"],"primary_cat":"cond-mat.other","authors_text":"H.-W. Hammer, L. Platter, U.-G. Mei{\\ss}ner","submitted_at":"2004-05-28T17:40:11Z","abstract_excerpt":"We consider the nonrelativistic four-boson system in two dimensions interacting via a short-range attractive potential. For a weakly attractive potential with one shallow two-body bound state with binding energy B_2, the binding energies B_N of shallow N-body bound states are universal and thus do not depend on the details of the interaction potential. We compute the four-body binding energies in an effective quantum mechanics approach. There are exactly two bound states: the ground state with B_4^(0)=197.3(1)B_2 and one excited state with B_4^(1)=25.5(1)B_2. We compare our results to recent p"},"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":"cond-mat/0405660","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2004-05-28T17:40:11Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"05b79f8d4deae0de5c1c46207b6859ebced2d47ebf03880e363d7966c10f5693","abstract_canon_sha256":"831698174acd426d3fd941760279d1555c07e6b871a1d8a7818da31ea265d889"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:58.119081Z","signature_b64":"jJVy58B2ssr3Ono43L8/NEj0XJZGgEZ8kwBbaaCYcvm7S9TVbHxXgvL0l37dGYSNdyIb2cryukP3NuBR+BpwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc4e32d17a8dd30ec2692316e8a780503ba77d4924f2e2ea16e9744d2093e394","last_reissued_at":"2026-05-18T01:39:58.118639Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:58.118639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universal Properties of the Four-Boson System in Two Dimensions","license":"","headline":"","cross_cats":["nucl-th"],"primary_cat":"cond-mat.other","authors_text":"H.-W. Hammer, L. Platter, U.-G. Mei{\\ss}ner","submitted_at":"2004-05-28T17:40:11Z","abstract_excerpt":"We consider the nonrelativistic four-boson system in two dimensions interacting via a short-range attractive potential. For a weakly attractive potential with one shallow two-body bound state with binding energy B_2, the binding energies B_N of shallow N-body bound states are universal and thus do not depend on the details of the interaction potential. We compute the four-body binding energies in an effective quantum mechanics approach. There are exactly two bound states: the ground state with B_4^(0)=197.3(1)B_2 and one excited state with B_4^(1)=25.5(1)B_2. We compare our results to recent p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0405660","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":"cond-mat/0405660","created_at":"2026-05-18T01:39:58.118714+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0405660v2","created_at":"2026-05-18T01:39:58.118714+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0405660","created_at":"2026-05-18T01:39:58.118714+00:00"},{"alias_kind":"pith_short_12","alias_value":"7RHDFUL2RXJQ","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"7RHDFUL2RXJQ5QTJ","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"7RHDFUL2","created_at":"2026-05-18T12:25:52.051335+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/7RHDFUL2RXJQ5QTJEMLORJ4AKA","json":"https://pith.science/pith/7RHDFUL2RXJQ5QTJEMLORJ4AKA.json","graph_json":"https://pith.science/api/pith-number/7RHDFUL2RXJQ5QTJEMLORJ4AKA/graph.json","events_json":"https://pith.science/api/pith-number/7RHDFUL2RXJQ5QTJEMLORJ4AKA/events.json","paper":"https://pith.science/paper/7RHDFUL2"},"agent_actions":{"view_html":"https://pith.science/pith/7RHDFUL2RXJQ5QTJEMLORJ4AKA","download_json":"https://pith.science/pith/7RHDFUL2RXJQ5QTJEMLORJ4AKA.json","view_paper":"https://pith.science/paper/7RHDFUL2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0405660&json=true","fetch_graph":"https://pith.science/api/pith-number/7RHDFUL2RXJQ5QTJEMLORJ4AKA/graph.json","fetch_events":"https://pith.science/api/pith-number/7RHDFUL2RXJQ5QTJEMLORJ4AKA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7RHDFUL2RXJQ5QTJEMLORJ4AKA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7RHDFUL2RXJQ5QTJEMLORJ4AKA/action/storage_attestation","attest_author":"https://pith.science/pith/7RHDFUL2RXJQ5QTJEMLORJ4AKA/action/author_attestation","sign_citation":"https://pith.science/pith/7RHDFUL2RXJQ5QTJEMLORJ4AKA/action/citation_signature","submit_replication":"https://pith.science/pith/7RHDFUL2RXJQ5QTJEMLORJ4AKA/action/replication_record"}},"created_at":"2026-05-18T01:39:58.118714+00:00","updated_at":"2026-05-18T01:39:58.118714+00:00"}