{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:4JQP27YSNYXVDVIRVK6DOKYFYG","short_pith_number":"pith:4JQP27YS","schema_version":"1.0","canonical_sha256":"e260fd7f126e2f51d511aabc372b05c18c5dbd047efa3d5cd9e06d2e2c8c4147","source":{"kind":"arxiv","id":"1708.03574","version":1},"attestation_state":"computed","paper":{"title":"Exact Energy Expansion of the two-dimensional Dyson Gas for Odd Values of $\\Gamma/2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"G. T\\'ellez, R. Salazar","submitted_at":"2017-08-11T15:28:30Z","abstract_excerpt":"Using the expansion on monomial functions of the Vandermonde determinant to the power $\\Gamma=Q^2/(k_BT)$, a way to find the excess energy $U_{exc}$ of the two dimensional one component plasma 2dOCP on the hard and soft disk (or Dyson Gas) for odd values of $\\Gamma/2$ is provided. At $\\Gamma=2$, the current study not only corroborates the result for the particle-particle energy contribution of the Dyson gas found by Shakirov by using an alternative approach but also provides the exact $N$-finite expansion of the excess energy of the 2dOCP on the hard disk. The excess energy is fitted to an ans"},"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":"1708.03574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-08-11T15:28:30Z","cross_cats_sorted":[],"title_canon_sha256":"100d42cbfddb072ae1d6a5251e8612dad42a85c3d50f6a54636322983bf8ba04","abstract_canon_sha256":"76348e6ec381c47161683c3933b0fea256369bd5a84af0cf44320384ddf92e98"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:54.546634Z","signature_b64":"EnpuzB31GzPQDioAVO7ldmjSmda0JQahjb+f1sQAzfUvhNlrbbq+rO/2SVJpU9vdUWHwYsGjWx/Nncyw7xq2AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e260fd7f126e2f51d511aabc372b05c18c5dbd047efa3d5cd9e06d2e2c8c4147","last_reissued_at":"2026-05-18T00:26:54.545969Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:54.545969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact Energy Expansion of the two-dimensional Dyson Gas for Odd Values of $\\Gamma/2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"G. T\\'ellez, R. Salazar","submitted_at":"2017-08-11T15:28:30Z","abstract_excerpt":"Using the expansion on monomial functions of the Vandermonde determinant to the power $\\Gamma=Q^2/(k_BT)$, a way to find the excess energy $U_{exc}$ of the two dimensional one component plasma 2dOCP on the hard and soft disk (or Dyson Gas) for odd values of $\\Gamma/2$ is provided. At $\\Gamma=2$, the current study not only corroborates the result for the particle-particle energy contribution of the Dyson gas found by Shakirov by using an alternative approach but also provides the exact $N$-finite expansion of the excess energy of the 2dOCP on the hard disk. The excess energy is fitted to an ans"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03574","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":"1708.03574","created_at":"2026-05-18T00:26:54.546056+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.03574v1","created_at":"2026-05-18T00:26:54.546056+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03574","created_at":"2026-05-18T00:26:54.546056+00:00"},{"alias_kind":"pith_short_12","alias_value":"4JQP27YSNYXV","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"4JQP27YSNYXVDVIR","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"4JQP27YS","created_at":"2026-05-18T12:31:00.734936+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/4JQP27YSNYXVDVIRVK6DOKYFYG","json":"https://pith.science/pith/4JQP27YSNYXVDVIRVK6DOKYFYG.json","graph_json":"https://pith.science/api/pith-number/4JQP27YSNYXVDVIRVK6DOKYFYG/graph.json","events_json":"https://pith.science/api/pith-number/4JQP27YSNYXVDVIRVK6DOKYFYG/events.json","paper":"https://pith.science/paper/4JQP27YS"},"agent_actions":{"view_html":"https://pith.science/pith/4JQP27YSNYXVDVIRVK6DOKYFYG","download_json":"https://pith.science/pith/4JQP27YSNYXVDVIRVK6DOKYFYG.json","view_paper":"https://pith.science/paper/4JQP27YS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.03574&json=true","fetch_graph":"https://pith.science/api/pith-number/4JQP27YSNYXVDVIRVK6DOKYFYG/graph.json","fetch_events":"https://pith.science/api/pith-number/4JQP27YSNYXVDVIRVK6DOKYFYG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4JQP27YSNYXVDVIRVK6DOKYFYG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4JQP27YSNYXVDVIRVK6DOKYFYG/action/storage_attestation","attest_author":"https://pith.science/pith/4JQP27YSNYXVDVIRVK6DOKYFYG/action/author_attestation","sign_citation":"https://pith.science/pith/4JQP27YSNYXVDVIRVK6DOKYFYG/action/citation_signature","submit_replication":"https://pith.science/pith/4JQP27YSNYXVDVIRVK6DOKYFYG/action/replication_record"}},"created_at":"2026-05-18T00:26:54.546056+00:00","updated_at":"2026-05-18T00:26:54.546056+00:00"}