{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:64S344AJYGBB6SWFYY23MT5TJP","short_pith_number":"pith:64S344AJ","schema_version":"1.0","canonical_sha256":"f725be7009c1821f4ac5c635b64fb34bca96a9cc8f994a1c158e8f7dea421fb9","source":{"kind":"arxiv","id":"2506.14738","version":1},"attestation_state":"computed","paper":{"title":"Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Bojian Shen, Matthias Allard, Peter J. Forrester, Sampad Lahiry","submitted_at":"2025-06-17T17:19:33Z","abstract_excerpt":"The large $N$ asymptotic expansion of the partition function for the normal matrix model is predicted to have special features inherited from its interpretation as a two-dimensional Coulomb gas. However for the latter, it is most natural to include a hard wall at the boundary of the droplet. We probe how this affects the asymptotic expansion in the solvable case that the potential is radially symmetric and the droplet is a disk or an annulus. We allow too for the hard wall to be strictly inside the boundary of the droplet. It is observed the term of order $\\log N$, has then a different rationa"},"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":"2506.14738","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-06-17T17:19:33Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"09b8bbbf8da09fa3221b89f2d3d0221a9e76c26550a3323709ce6674ff0eeafa","abstract_canon_sha256":"e4cdda08b1515da9d9ae1a4dc5f09b78c4c6f487036b94c1884a509ba66d38f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:23:12.084156Z","signature_b64":"77HDHw79vmeH9M3bZYLCU0RVWDel+jmsff6TuctHRmFl4YnJnf4PEDaxu+MgSS4PgtpuDO/6mR/5O3WZVRKpCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f725be7009c1821f4ac5c635b64fb34bca96a9cc8f994a1c158e8f7dea421fb9","last_reissued_at":"2026-07-05T11:23:12.083676Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:23:12.083676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Bojian Shen, Matthias Allard, Peter J. Forrester, Sampad Lahiry","submitted_at":"2025-06-17T17:19:33Z","abstract_excerpt":"The large $N$ asymptotic expansion of the partition function for the normal matrix model is predicted to have special features inherited from its interpretation as a two-dimensional Coulomb gas. However for the latter, it is most natural to include a hard wall at the boundary of the droplet. We probe how this affects the asymptotic expansion in the solvable case that the potential is radially symmetric and the droplet is a disk or an annulus. We allow too for the hard wall to be strictly inside the boundary of the droplet. It is observed the term of order $\\log N$, has then a different rationa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.14738","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.14738/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2506.14738","created_at":"2026-07-05T11:23:12.083735+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.14738v1","created_at":"2026-07-05T11:23:12.083735+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.14738","created_at":"2026-07-05T11:23:12.083735+00:00"},{"alias_kind":"pith_short_12","alias_value":"64S344AJYGBB","created_at":"2026-07-05T11:23:12.083735+00:00"},{"alias_kind":"pith_short_16","alias_value":"64S344AJYGBB6SWF","created_at":"2026-07-05T11:23:12.083735+00:00"},{"alias_kind":"pith_short_8","alias_value":"64S344AJ","created_at":"2026-07-05T11:23:12.083735+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.29594","citing_title":"Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point charge","ref_index":5,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/64S344AJYGBB6SWFYY23MT5TJP","json":"https://pith.science/pith/64S344AJYGBB6SWFYY23MT5TJP.json","graph_json":"https://pith.science/api/pith-number/64S344AJYGBB6SWFYY23MT5TJP/graph.json","events_json":"https://pith.science/api/pith-number/64S344AJYGBB6SWFYY23MT5TJP/events.json","paper":"https://pith.science/paper/64S344AJ"},"agent_actions":{"view_html":"https://pith.science/pith/64S344AJYGBB6SWFYY23MT5TJP","download_json":"https://pith.science/pith/64S344AJYGBB6SWFYY23MT5TJP.json","view_paper":"https://pith.science/paper/64S344AJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.14738&json=true","fetch_graph":"https://pith.science/api/pith-number/64S344AJYGBB6SWFYY23MT5TJP/graph.json","fetch_events":"https://pith.science/api/pith-number/64S344AJYGBB6SWFYY23MT5TJP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/64S344AJYGBB6SWFYY23MT5TJP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/64S344AJYGBB6SWFYY23MT5TJP/action/storage_attestation","attest_author":"https://pith.science/pith/64S344AJYGBB6SWFYY23MT5TJP/action/author_attestation","sign_citation":"https://pith.science/pith/64S344AJYGBB6SWFYY23MT5TJP/action/citation_signature","submit_replication":"https://pith.science/pith/64S344AJYGBB6SWFYY23MT5TJP/action/replication_record"}},"created_at":"2026-07-05T11:23:12.083735+00:00","updated_at":"2026-07-05T11:23:12.083735+00:00"}