{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:CFW3YYQZ7ANFLAWNYWJBVZ2HZS","short_pith_number":"pith:CFW3YYQZ","schema_version":"1.0","canonical_sha256":"116dbc6219f81a5582cdc5921ae747ccb2bdcd7ebcdd2d786d002302189a6ba7","source":{"kind":"arxiv","id":"1610.01296","version":1},"attestation_state":"computed","paper":{"title":"Two-dimensional pseudo-gravity model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Dan Crisan, Julien Barr\\'e, Thierry Goudon","submitted_at":"2016-10-05T07:34:54Z","abstract_excerpt":"We analyze a simple macroscopic model describing the evolution of a cloud of particles confined in a magneto-optical trap. The behavior of the particles is mainly driven by self--consistent attractive forces. In contrast to the standard model of gravitational forces, the force field does not result from a potential; moreover, the non linear coupling is more singular than the coupling based on the Poisson equation. We establish the existence of solutions, under a suitable smallness condition on the total mass, or, equivalently, for a sufficiently large diffusion coefficient. When a symmetry ass"},"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":"1610.01296","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-05T07:34:54Z","cross_cats_sorted":[],"title_canon_sha256":"3c7de49e7a8a7f369f787e31970f9cf034ee251d642bb46c357e4952b1fca08c","abstract_canon_sha256":"4f497e8051cb69872494e08f1ba2822dd988bab90ab48a644a741794f2037421"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:11.220627Z","signature_b64":"SfpJXEf61tuyOIeYiBNCFXNvpG1JpP+bfKd7BnoNIxhQ9vdhacz/KzdcAiLsF3Zpx599a4fR5+jR/7Y+lWQDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"116dbc6219f81a5582cdc5921ae747ccb2bdcd7ebcdd2d786d002302189a6ba7","last_reissued_at":"2026-05-18T01:03:11.219844Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:11.219844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two-dimensional pseudo-gravity model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Dan Crisan, Julien Barr\\'e, Thierry Goudon","submitted_at":"2016-10-05T07:34:54Z","abstract_excerpt":"We analyze a simple macroscopic model describing the evolution of a cloud of particles confined in a magneto-optical trap. The behavior of the particles is mainly driven by self--consistent attractive forces. In contrast to the standard model of gravitational forces, the force field does not result from a potential; moreover, the non linear coupling is more singular than the coupling based on the Poisson equation. We establish the existence of solutions, under a suitable smallness condition on the total mass, or, equivalently, for a sufficiently large diffusion coefficient. When a symmetry ass"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.01296","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":"1610.01296","created_at":"2026-05-18T01:03:11.219973+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.01296v1","created_at":"2026-05-18T01:03:11.219973+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.01296","created_at":"2026-05-18T01:03:11.219973+00:00"},{"alias_kind":"pith_short_12","alias_value":"CFW3YYQZ7ANF","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CFW3YYQZ7ANFLAWN","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CFW3YYQZ","created_at":"2026-05-18T12:30:09.641336+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/CFW3YYQZ7ANFLAWNYWJBVZ2HZS","json":"https://pith.science/pith/CFW3YYQZ7ANFLAWNYWJBVZ2HZS.json","graph_json":"https://pith.science/api/pith-number/CFW3YYQZ7ANFLAWNYWJBVZ2HZS/graph.json","events_json":"https://pith.science/api/pith-number/CFW3YYQZ7ANFLAWNYWJBVZ2HZS/events.json","paper":"https://pith.science/paper/CFW3YYQZ"},"agent_actions":{"view_html":"https://pith.science/pith/CFW3YYQZ7ANFLAWNYWJBVZ2HZS","download_json":"https://pith.science/pith/CFW3YYQZ7ANFLAWNYWJBVZ2HZS.json","view_paper":"https://pith.science/paper/CFW3YYQZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.01296&json=true","fetch_graph":"https://pith.science/api/pith-number/CFW3YYQZ7ANFLAWNYWJBVZ2HZS/graph.json","fetch_events":"https://pith.science/api/pith-number/CFW3YYQZ7ANFLAWNYWJBVZ2HZS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CFW3YYQZ7ANFLAWNYWJBVZ2HZS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CFW3YYQZ7ANFLAWNYWJBVZ2HZS/action/storage_attestation","attest_author":"https://pith.science/pith/CFW3YYQZ7ANFLAWNYWJBVZ2HZS/action/author_attestation","sign_citation":"https://pith.science/pith/CFW3YYQZ7ANFLAWNYWJBVZ2HZS/action/citation_signature","submit_replication":"https://pith.science/pith/CFW3YYQZ7ANFLAWNYWJBVZ2HZS/action/replication_record"}},"created_at":"2026-05-18T01:03:11.219973+00:00","updated_at":"2026-05-18T01:03:11.219973+00:00"}