{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:YP567O73YZDVIP6NE7FK7BRAQP","short_pith_number":"pith:YP567O73","schema_version":"1.0","canonical_sha256":"c3fbefbbfbc647543fcd27caaf862083d16209a6b1d3b2febf5273b2299abce5","source":{"kind":"arxiv","id":"1604.06693","version":2},"attestation_state":"computed","paper":{"title":"On a two-particle bound system on the half-line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.supr-con","math.MP","math.SP","quant-ph"],"primary_cat":"math-ph","authors_text":"Joachim Kerner, Tobias M\\\"uhlenbruch","submitted_at":"2016-04-22T14:57:37Z","abstract_excerpt":"In this paper we provide an extension of the model discussed in [arXiv:1504.08283] describing two singularly interacting particles on the half-line. In this model, the particles are interacting only whenever at least one particle is situated at the origin. Stimulated by [arXiv:1503.08814] we then provide a generalisation of this model in order to include additional interactions between the particles leading to a molecular-like state. We give a precise mathematical formulation of the Hamiltonian of the system and perform spectral analysis. In particular, we are interested in the effect of the s"},"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":"1604.06693","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-04-22T14:57:37Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.supr-con","math.MP","math.SP","quant-ph"],"title_canon_sha256":"cd8711583bf9bba62aced09790865ab165ea1d0298cbb911d3b6809d17bade6f","abstract_canon_sha256":"71e74a3f53f492f02bf80bd90e3bfb6f51a533b175a63a004dea4befeae23735"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:52.058306Z","signature_b64":"pkmxZLq4PbfX/tbJ/GDEWpbO6x8F5vmRMSNfc2/Jp7ixp+C+vlM07i56DH4IcLGjIc61PbSJavh8QSNTLz1CDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3fbefbbfbc647543fcd27caaf862083d16209a6b1d3b2febf5273b2299abce5","last_reissued_at":"2026-05-18T00:26:52.057663Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:52.057663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a two-particle bound system on the half-line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.supr-con","math.MP","math.SP","quant-ph"],"primary_cat":"math-ph","authors_text":"Joachim Kerner, Tobias M\\\"uhlenbruch","submitted_at":"2016-04-22T14:57:37Z","abstract_excerpt":"In this paper we provide an extension of the model discussed in [arXiv:1504.08283] describing two singularly interacting particles on the half-line. In this model, the particles are interacting only whenever at least one particle is situated at the origin. Stimulated by [arXiv:1503.08814] we then provide a generalisation of this model in order to include additional interactions between the particles leading to a molecular-like state. We give a precise mathematical formulation of the Hamiltonian of the system and perform spectral analysis. In particular, we are interested in the effect of the s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06693","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":"1604.06693","created_at":"2026-05-18T00:26:52.057754+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.06693v2","created_at":"2026-05-18T00:26:52.057754+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06693","created_at":"2026-05-18T00:26:52.057754+00:00"},{"alias_kind":"pith_short_12","alias_value":"YP567O73YZDV","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"YP567O73YZDVIP6N","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"YP567O73","created_at":"2026-05-18T12:30:53.716459+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/YP567O73YZDVIP6NE7FK7BRAQP","json":"https://pith.science/pith/YP567O73YZDVIP6NE7FK7BRAQP.json","graph_json":"https://pith.science/api/pith-number/YP567O73YZDVIP6NE7FK7BRAQP/graph.json","events_json":"https://pith.science/api/pith-number/YP567O73YZDVIP6NE7FK7BRAQP/events.json","paper":"https://pith.science/paper/YP567O73"},"agent_actions":{"view_html":"https://pith.science/pith/YP567O73YZDVIP6NE7FK7BRAQP","download_json":"https://pith.science/pith/YP567O73YZDVIP6NE7FK7BRAQP.json","view_paper":"https://pith.science/paper/YP567O73","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.06693&json=true","fetch_graph":"https://pith.science/api/pith-number/YP567O73YZDVIP6NE7FK7BRAQP/graph.json","fetch_events":"https://pith.science/api/pith-number/YP567O73YZDVIP6NE7FK7BRAQP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YP567O73YZDVIP6NE7FK7BRAQP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YP567O73YZDVIP6NE7FK7BRAQP/action/storage_attestation","attest_author":"https://pith.science/pith/YP567O73YZDVIP6NE7FK7BRAQP/action/author_attestation","sign_citation":"https://pith.science/pith/YP567O73YZDVIP6NE7FK7BRAQP/action/citation_signature","submit_replication":"https://pith.science/pith/YP567O73YZDVIP6NE7FK7BRAQP/action/replication_record"}},"created_at":"2026-05-18T00:26:52.057754+00:00","updated_at":"2026-05-18T00:26:52.057754+00:00"}