{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:H35XT7GK4ZWENANRMIRAEBLOZN","short_pith_number":"pith:H35XT7GK","schema_version":"1.0","canonical_sha256":"3efb79fccae66c4681b1622202056ecb41de200db065149dafab98a360e63e3c","source":{"kind":"arxiv","id":"1110.5817","version":1},"attestation_state":"computed","paper":{"title":"Non-relativistic Lee Model on two Dimensional Riemannian Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Fatih Erman, O. Teoman Turgut","submitted_at":"2011-10-26T15:21:48Z","abstract_excerpt":"This work is a continuation of our previous work (JMP, Vol. 48, 12, pp. 122103-1-122103-20, 2007), where we constructed the non-relativistic Lee model in three dimensional Riemannian manifolds. Here we renormalize the two dimensional version by using the same methods and the results are shortly given since the calculations are basically the same as in the three dimensional model. We also show that the ground state energy is bounded from below due to the upper bound of the heat kernel for compact and Cartan-Hadamard manifolds. In contrast to the construction of the model and the proof of the lo"},"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":"1110.5817","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-26T15:21:48Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"5dca273dd4f778c607217ac5e3113362240fb840f86fdb94f960519bee0a236d","abstract_canon_sha256":"1d55375f70c3f1da164e94d97e2516ce8d93cd7f07eba188918eb634fabf2bf1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:03.599391Z","signature_b64":"2Tqv4CHdBulmmIe35G05LXk7lvDyKYf9I6sKsuiTQed7anjMk7lNrDmI1+SeKUIJk7lR9kQgFvesMfQo5fdRBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3efb79fccae66c4681b1622202056ecb41de200db065149dafab98a360e63e3c","last_reissued_at":"2026-05-18T02:00:03.598906Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:03.598906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-relativistic Lee Model on two Dimensional Riemannian Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Fatih Erman, O. Teoman Turgut","submitted_at":"2011-10-26T15:21:48Z","abstract_excerpt":"This work is a continuation of our previous work (JMP, Vol. 48, 12, pp. 122103-1-122103-20, 2007), where we constructed the non-relativistic Lee model in three dimensional Riemannian manifolds. Here we renormalize the two dimensional version by using the same methods and the results are shortly given since the calculations are basically the same as in the three dimensional model. We also show that the ground state energy is bounded from below due to the upper bound of the heat kernel for compact and Cartan-Hadamard manifolds. In contrast to the construction of the model and the proof of the lo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5817","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":"1110.5817","created_at":"2026-05-18T02:00:03.598969+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.5817v1","created_at":"2026-05-18T02:00:03.598969+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5817","created_at":"2026-05-18T02:00:03.598969+00:00"},{"alias_kind":"pith_short_12","alias_value":"H35XT7GK4ZWE","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"H35XT7GK4ZWENANR","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"H35XT7GK","created_at":"2026-05-18T12:26:30.835961+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/H35XT7GK4ZWENANRMIRAEBLOZN","json":"https://pith.science/pith/H35XT7GK4ZWENANRMIRAEBLOZN.json","graph_json":"https://pith.science/api/pith-number/H35XT7GK4ZWENANRMIRAEBLOZN/graph.json","events_json":"https://pith.science/api/pith-number/H35XT7GK4ZWENANRMIRAEBLOZN/events.json","paper":"https://pith.science/paper/H35XT7GK"},"agent_actions":{"view_html":"https://pith.science/pith/H35XT7GK4ZWENANRMIRAEBLOZN","download_json":"https://pith.science/pith/H35XT7GK4ZWENANRMIRAEBLOZN.json","view_paper":"https://pith.science/paper/H35XT7GK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.5817&json=true","fetch_graph":"https://pith.science/api/pith-number/H35XT7GK4ZWENANRMIRAEBLOZN/graph.json","fetch_events":"https://pith.science/api/pith-number/H35XT7GK4ZWENANRMIRAEBLOZN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H35XT7GK4ZWENANRMIRAEBLOZN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H35XT7GK4ZWENANRMIRAEBLOZN/action/storage_attestation","attest_author":"https://pith.science/pith/H35XT7GK4ZWENANRMIRAEBLOZN/action/author_attestation","sign_citation":"https://pith.science/pith/H35XT7GK4ZWENANRMIRAEBLOZN/action/citation_signature","submit_replication":"https://pith.science/pith/H35XT7GK4ZWENANRMIRAEBLOZN/action/replication_record"}},"created_at":"2026-05-18T02:00:03.598969+00:00","updated_at":"2026-05-18T02:00:03.598969+00:00"}