{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:2XD43VWLBKH23X6WQSUKDF4OJ7","short_pith_number":"pith:2XD43VWL","schema_version":"1.0","canonical_sha256":"d5c7cdd6cb0a8faddfd684a8a1978e4ff2df699f84ae677c76ed720dee710232","source":{"kind":"arxiv","id":"math-ph/0605013","version":1},"attestation_state":"computed","paper":{"title":"Diamagnetic expansions for perfect quantum gases","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Delphine Louis, Horia D. Cornean, Philippe Briet","submitted_at":"2006-05-04T09:33:09Z","abstract_excerpt":"In this work we study the diamagnetic properties of a perfect quantum gas in the presence of a constant magnetic field of intensity $B$. We investigate the Gibbs semigroup associated to the one particle operator at finite volume, and study its Taylor series with respect to the field parameter $\\omega:= eB/c$ in different topologies. This allows us to prove the existence of the thermodynamic limit for the pressure and for all its derivatives with respect to $\\omega$ (the so-called generalized susceptibilities)."},"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":"math-ph/0605013","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2006-05-04T09:33:09Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"d15fe0a6f69da5e6a827aef7f748ba507f40fa6382976a09d9ccb1edb4bf4ab1","abstract_canon_sha256":"026005cca1aaaa5de79c4990a10a6b24adc69ba3547dbbd2e8829eefde4f6fed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:32.884271Z","signature_b64":"OVYFSxTa2Af7GTD7sn+tOzXq7JOULw2UPuCp5r5VEgxCLWNhqVUOeqS3PgPahgtmdzuvpgGOgwavSirq1MN8BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5c7cdd6cb0a8faddfd684a8a1978e4ff2df699f84ae677c76ed720dee710232","last_reissued_at":"2026-05-18T01:38:32.883593Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:32.883593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diamagnetic expansions for perfect quantum gases","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Delphine Louis, Horia D. Cornean, Philippe Briet","submitted_at":"2006-05-04T09:33:09Z","abstract_excerpt":"In this work we study the diamagnetic properties of a perfect quantum gas in the presence of a constant magnetic field of intensity $B$. We investigate the Gibbs semigroup associated to the one particle operator at finite volume, and study its Taylor series with respect to the field parameter $\\omega:= eB/c$ in different topologies. This allows us to prove the existence of the thermodynamic limit for the pressure and for all its derivatives with respect to $\\omega$ (the so-called generalized susceptibilities)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0605013","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":"math-ph/0605013","created_at":"2026-05-18T01:38:32.883695+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0605013v1","created_at":"2026-05-18T01:38:32.883695+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0605013","created_at":"2026-05-18T01:38:32.883695+00:00"},{"alias_kind":"pith_short_12","alias_value":"2XD43VWLBKH2","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"2XD43VWLBKH23X6W","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"2XD43VWL","created_at":"2026-05-18T12:25:53.939244+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/2XD43VWLBKH23X6WQSUKDF4OJ7","json":"https://pith.science/pith/2XD43VWLBKH23X6WQSUKDF4OJ7.json","graph_json":"https://pith.science/api/pith-number/2XD43VWLBKH23X6WQSUKDF4OJ7/graph.json","events_json":"https://pith.science/api/pith-number/2XD43VWLBKH23X6WQSUKDF4OJ7/events.json","paper":"https://pith.science/paper/2XD43VWL"},"agent_actions":{"view_html":"https://pith.science/pith/2XD43VWLBKH23X6WQSUKDF4OJ7","download_json":"https://pith.science/pith/2XD43VWLBKH23X6WQSUKDF4OJ7.json","view_paper":"https://pith.science/paper/2XD43VWL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0605013&json=true","fetch_graph":"https://pith.science/api/pith-number/2XD43VWLBKH23X6WQSUKDF4OJ7/graph.json","fetch_events":"https://pith.science/api/pith-number/2XD43VWLBKH23X6WQSUKDF4OJ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2XD43VWLBKH23X6WQSUKDF4OJ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2XD43VWLBKH23X6WQSUKDF4OJ7/action/storage_attestation","attest_author":"https://pith.science/pith/2XD43VWLBKH23X6WQSUKDF4OJ7/action/author_attestation","sign_citation":"https://pith.science/pith/2XD43VWLBKH23X6WQSUKDF4OJ7/action/citation_signature","submit_replication":"https://pith.science/pith/2XD43VWLBKH23X6WQSUKDF4OJ7/action/replication_record"}},"created_at":"2026-05-18T01:38:32.883695+00:00","updated_at":"2026-05-18T01:38:32.883695+00:00"}