{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:WQCZ5FF6IRABO5CTSSGTZXGMEI","short_pith_number":"pith:WQCZ5FF6","schema_version":"1.0","canonical_sha256":"b4059e94be4440177453948d3cdccc220d8046abbf33407ff7716c7e1aa3495a","source":{"kind":"arxiv","id":"1606.03924","version":2},"attestation_state":"computed","paper":{"title":"Functional integral derivation of the kinetic equation of two-dimensional point vortices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Christophe Pichon, Jean-Baptiste Fouvry, Pierre-Henri Chavanis","submitted_at":"2016-06-13T12:48:15Z","abstract_excerpt":"We present a brief derivation of the kinetic equation describing the secular evolution of point vortices in two-dimensional hydrodynamics, by relying on a functional integral formalism. We start from Liouville's equation which describes the exact dynamics of a two-dimensional system of point vortices. At the order ${1/N}$, the evolution of the system is characterised by the first two equations of the BBGKY hierarchy involving the system's 1-body distribution function and its 1-body correlation function. Thanks to the introduction of auxiliary fields, these two evolution constraints may be rewr"},"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":"1606.03924","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-06-13T12:48:15Z","cross_cats_sorted":[],"title_canon_sha256":"9dcb60d5d5bf520d6c554e088440d2baeda1ff9851852ad1957f42dd3d7909f4","abstract_canon_sha256":"c96582e4d6cffe967fa061a3afd2adc6f68e8f5c7b93b68bba451cb67021a8f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:39.591425Z","signature_b64":"My1Z6Mb5AxYr2U4QwSWCVDB9fp8wRH8HQiUQ2QxYGXyJxxCTumM6mTsErIEo6eHJvYFeUngbFlPyCyz4lQiOAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4059e94be4440177453948d3cdccc220d8046abbf33407ff7716c7e1aa3495a","last_reissued_at":"2026-05-18T00:29:39.591065Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:39.591065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Functional integral derivation of the kinetic equation of two-dimensional point vortices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Christophe Pichon, Jean-Baptiste Fouvry, Pierre-Henri Chavanis","submitted_at":"2016-06-13T12:48:15Z","abstract_excerpt":"We present a brief derivation of the kinetic equation describing the secular evolution of point vortices in two-dimensional hydrodynamics, by relying on a functional integral formalism. We start from Liouville's equation which describes the exact dynamics of a two-dimensional system of point vortices. At the order ${1/N}$, the evolution of the system is characterised by the first two equations of the BBGKY hierarchy involving the system's 1-body distribution function and its 1-body correlation function. Thanks to the introduction of auxiliary fields, these two evolution constraints may be rewr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03924","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":"1606.03924","created_at":"2026-05-18T00:29:39.591122+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.03924v2","created_at":"2026-05-18T00:29:39.591122+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03924","created_at":"2026-05-18T00:29:39.591122+00:00"},{"alias_kind":"pith_short_12","alias_value":"WQCZ5FF6IRAB","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"WQCZ5FF6IRABO5CT","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"WQCZ5FF6","created_at":"2026-05-18T12:30:51.357362+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/WQCZ5FF6IRABO5CTSSGTZXGMEI","json":"https://pith.science/pith/WQCZ5FF6IRABO5CTSSGTZXGMEI.json","graph_json":"https://pith.science/api/pith-number/WQCZ5FF6IRABO5CTSSGTZXGMEI/graph.json","events_json":"https://pith.science/api/pith-number/WQCZ5FF6IRABO5CTSSGTZXGMEI/events.json","paper":"https://pith.science/paper/WQCZ5FF6"},"agent_actions":{"view_html":"https://pith.science/pith/WQCZ5FF6IRABO5CTSSGTZXGMEI","download_json":"https://pith.science/pith/WQCZ5FF6IRABO5CTSSGTZXGMEI.json","view_paper":"https://pith.science/paper/WQCZ5FF6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.03924&json=true","fetch_graph":"https://pith.science/api/pith-number/WQCZ5FF6IRABO5CTSSGTZXGMEI/graph.json","fetch_events":"https://pith.science/api/pith-number/WQCZ5FF6IRABO5CTSSGTZXGMEI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WQCZ5FF6IRABO5CTSSGTZXGMEI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WQCZ5FF6IRABO5CTSSGTZXGMEI/action/storage_attestation","attest_author":"https://pith.science/pith/WQCZ5FF6IRABO5CTSSGTZXGMEI/action/author_attestation","sign_citation":"https://pith.science/pith/WQCZ5FF6IRABO5CTSSGTZXGMEI/action/citation_signature","submit_replication":"https://pith.science/pith/WQCZ5FF6IRABO5CTSSGTZXGMEI/action/replication_record"}},"created_at":"2026-05-18T00:29:39.591122+00:00","updated_at":"2026-05-18T00:29:39.591122+00:00"}