{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:EHRS3OB2XO3LSEFZYPCCI5BFHD","short_pith_number":"pith:EHRS3OB2","schema_version":"1.0","canonical_sha256":"21e32db83abbb6b910b9c3c424742538f8763f6d59e04d349f3008a669c5fe92","source":{"kind":"arxiv","id":"2605.19694","version":1},"attestation_state":"computed","paper":{"title":"About a nonideal Rayleigh gas mixture model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Florent Foug\\`eres","submitted_at":"2026-05-19T11:28:10Z","abstract_excerpt":"This paper introduces a grand canonical mixture model to generalize the nonideal Rayleigh gas [5] to an asymptotically infinite amount of perturbed tagged particles. This model relies precisely on grand canonical tags, to preserve symmetry in the system, contrary to [2]. We hence define and study the convergence of the correlation functions of this system in large times, linking it to the expectancy of the empirical measure of tagged and non-tagged particles, to eventually prove a law of large numbers for this dynamics. We extend the quantitative study to all the correlation functions, and not"},"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":"2605.19694","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-19T11:28:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"37994217d10fe7b10e52f2e7da926f4ff8f0cce3e6af994de568aa6edb418633","abstract_canon_sha256":"9a5b3c2ca3ea2eaf142f064dfe78e2c7ad1e19bad0cd73490666d00d84e1ca61"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T01:05:58.013161Z","signature_b64":"OgRo+W/zzQdktEypCFfRN0srAXwKpEkTbLLNdH8As1LMy1KC981+yWB87bptnFZIrLGkZagFlnZN5QyoOH8FDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21e32db83abbb6b910b9c3c424742538f8763f6d59e04d349f3008a669c5fe92","last_reissued_at":"2026-05-20T01:05:58.012508Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T01:05:58.012508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"About a nonideal Rayleigh gas mixture model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Florent Foug\\`eres","submitted_at":"2026-05-19T11:28:10Z","abstract_excerpt":"This paper introduces a grand canonical mixture model to generalize the nonideal Rayleigh gas [5] to an asymptotically infinite amount of perturbed tagged particles. This model relies precisely on grand canonical tags, to preserve symmetry in the system, contrary to [2]. We hence define and study the convergence of the correlation functions of this system in large times, linking it to the expectancy of the empirical measure of tagged and non-tagged particles, to eventually prove a law of large numbers for this dynamics. We extend the quantitative study to all the correlation functions, and not"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.19694","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/2605.19694/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":"2605.19694","created_at":"2026-05-20T01:05:58.012603+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.19694v1","created_at":"2026-05-20T01:05:58.012603+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.19694","created_at":"2026-05-20T01:05:58.012603+00:00"},{"alias_kind":"pith_short_12","alias_value":"EHRS3OB2XO3L","created_at":"2026-05-20T01:05:58.012603+00:00"},{"alias_kind":"pith_short_16","alias_value":"EHRS3OB2XO3LSEFZ","created_at":"2026-05-20T01:05:58.012603+00:00"},{"alias_kind":"pith_short_8","alias_value":"EHRS3OB2","created_at":"2026-05-20T01:05:58.012603+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/EHRS3OB2XO3LSEFZYPCCI5BFHD","json":"https://pith.science/pith/EHRS3OB2XO3LSEFZYPCCI5BFHD.json","graph_json":"https://pith.science/api/pith-number/EHRS3OB2XO3LSEFZYPCCI5BFHD/graph.json","events_json":"https://pith.science/api/pith-number/EHRS3OB2XO3LSEFZYPCCI5BFHD/events.json","paper":"https://pith.science/paper/EHRS3OB2"},"agent_actions":{"view_html":"https://pith.science/pith/EHRS3OB2XO3LSEFZYPCCI5BFHD","download_json":"https://pith.science/pith/EHRS3OB2XO3LSEFZYPCCI5BFHD.json","view_paper":"https://pith.science/paper/EHRS3OB2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.19694&json=true","fetch_graph":"https://pith.science/api/pith-number/EHRS3OB2XO3LSEFZYPCCI5BFHD/graph.json","fetch_events":"https://pith.science/api/pith-number/EHRS3OB2XO3LSEFZYPCCI5BFHD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EHRS3OB2XO3LSEFZYPCCI5BFHD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EHRS3OB2XO3LSEFZYPCCI5BFHD/action/storage_attestation","attest_author":"https://pith.science/pith/EHRS3OB2XO3LSEFZYPCCI5BFHD/action/author_attestation","sign_citation":"https://pith.science/pith/EHRS3OB2XO3LSEFZYPCCI5BFHD/action/citation_signature","submit_replication":"https://pith.science/pith/EHRS3OB2XO3LSEFZYPCCI5BFHD/action/replication_record"}},"created_at":"2026-05-20T01:05:58.012603+00:00","updated_at":"2026-05-20T01:05:58.012603+00:00"}