{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:RAETJULKHE222F66UYRTYWKLR5","short_pith_number":"pith:RAETJULK","schema_version":"1.0","canonical_sha256":"880934d16a3935ad17dea6233c594b8f5d314d7cb9918ef2024bb66468b02181","source":{"kind":"arxiv","id":"1601.00324","version":2},"attestation_state":"computed","paper":{"title":"Active Particles on Curved Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Aparna Baskaran, Michael F. Hagan, Yaouen Fily","submitted_at":"2016-01-03T19:07:20Z","abstract_excerpt":"Recent studies have highlighted the sensitivity of active matter to boundaries and their geometries. Here we develop a general theory for the dynamics and statistics of active particles on curved surfaces and illustrate it on two examples. We first show that active particles moving on a surface with no ability to probe its curvature only exhibit steady-state inhomogeneities in the presence of orientational order. We then consider a strongly confined 3D ideal active gas and compute its steady-state density distribution in a box of arbitrary convex shape."},"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":"1601.00324","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-01-03T19:07:20Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"192f9482f3a9c7b9d65a724648e0ef0ec899914aa212ae89b190116e704ebda4","abstract_canon_sha256":"6c11cf3c6f898fabebe2bf01a362eaaa5669b7541ef3e6f617de774a9528aebc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:53.653220Z","signature_b64":"theYmO17A3q3/xThQ6E6ZbHcbNAKWo2xXG2gNqAap1QBAnZ8Lc44TwPgbtJU6a3IOl0KDtBMhaWbQc8E75IXCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"880934d16a3935ad17dea6233c594b8f5d314d7cb9918ef2024bb66468b02181","last_reissued_at":"2026-05-18T01:22:53.652650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:53.652650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Active Particles on Curved Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Aparna Baskaran, Michael F. Hagan, Yaouen Fily","submitted_at":"2016-01-03T19:07:20Z","abstract_excerpt":"Recent studies have highlighted the sensitivity of active matter to boundaries and their geometries. Here we develop a general theory for the dynamics and statistics of active particles on curved surfaces and illustrate it on two examples. We first show that active particles moving on a surface with no ability to probe its curvature only exhibit steady-state inhomogeneities in the presence of orientational order. We then consider a strongly confined 3D ideal active gas and compute its steady-state density distribution in a box of arbitrary convex shape."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00324","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":"1601.00324","created_at":"2026-05-18T01:22:53.652740+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.00324v2","created_at":"2026-05-18T01:22:53.652740+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00324","created_at":"2026-05-18T01:22:53.652740+00:00"},{"alias_kind":"pith_short_12","alias_value":"RAETJULKHE22","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"RAETJULKHE222F66","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"RAETJULK","created_at":"2026-05-18T12:30:41.710351+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.20938","citing_title":"Origin of Persistent Boundary Motion in Confined Active Matter","ref_index":54,"is_internal_anchor":true},{"citing_arxiv_id":"2605.05366","citing_title":"Frustrated Fields: Statistical Field Theory for Frustrated Brownian Particles on 2D Manifolds","ref_index":14,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RAETJULKHE222F66UYRTYWKLR5","json":"https://pith.science/pith/RAETJULKHE222F66UYRTYWKLR5.json","graph_json":"https://pith.science/api/pith-number/RAETJULKHE222F66UYRTYWKLR5/graph.json","events_json":"https://pith.science/api/pith-number/RAETJULKHE222F66UYRTYWKLR5/events.json","paper":"https://pith.science/paper/RAETJULK"},"agent_actions":{"view_html":"https://pith.science/pith/RAETJULKHE222F66UYRTYWKLR5","download_json":"https://pith.science/pith/RAETJULKHE222F66UYRTYWKLR5.json","view_paper":"https://pith.science/paper/RAETJULK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.00324&json=true","fetch_graph":"https://pith.science/api/pith-number/RAETJULKHE222F66UYRTYWKLR5/graph.json","fetch_events":"https://pith.science/api/pith-number/RAETJULKHE222F66UYRTYWKLR5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RAETJULKHE222F66UYRTYWKLR5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RAETJULKHE222F66UYRTYWKLR5/action/storage_attestation","attest_author":"https://pith.science/pith/RAETJULKHE222F66UYRTYWKLR5/action/author_attestation","sign_citation":"https://pith.science/pith/RAETJULKHE222F66UYRTYWKLR5/action/citation_signature","submit_replication":"https://pith.science/pith/RAETJULKHE222F66UYRTYWKLR5/action/replication_record"}},"created_at":"2026-05-18T01:22:53.652740+00:00","updated_at":"2026-05-18T01:22:53.652740+00:00"}