{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:WFT4UUR3RIKDEMSNMHLGUWUTFH","short_pith_number":"pith:WFT4UUR3","schema_version":"1.0","canonical_sha256":"b167ca523b8a1432324d61d66a5a9329d88c8f93da8a8aad6fc01677882b10c5","source":{"kind":"arxiv","id":"1508.03569","version":1},"attestation_state":"computed","paper":{"title":"A hydrodynamic limit for chemotaxis in a given heterogeneous environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.CB"],"primary_cat":"math.PR","authors_text":"Angela Stevens, Daniel Marahrens, Stefan Grosskinsky","submitted_at":"2015-08-14T16:57:41Z","abstract_excerpt":"In this paper the first equation within a class of well known chemotaxis systems is derived as a hydrodynamic limit from a stochastic interacting many particle system on the lattice. The cells are assumed to interact with attractive chemical molecules on a finite number of lattice sites, but they only directly interact among themselves on the same lattice site. The chemical environment is assumed to be stationary with a slowly varying mean, which results in a non-trivial macroscopic chemotaxis equation for the cells. Methodologically the limiting procedure and its proofs are based on results b"},"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":"1508.03569","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-08-14T16:57:41Z","cross_cats_sorted":["q-bio.CB"],"title_canon_sha256":"8b8064045d31fbde42d29c9cbf788eba2ed38bbc7395e4d080b35d0bb0913663","abstract_canon_sha256":"9fe31511cb167747c7144de6b7d8275dece052fe89663776e34513eddccdf7db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:35.926473Z","signature_b64":"Yp6LZoBsqRMZfMpPqalP6Q3YH4vBpao3TM+BS/c2HHO9dp5MjhhixBOmQ43/CXjsVBK4rsXqTDCQsulMvgQlDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b167ca523b8a1432324d61d66a5a9329d88c8f93da8a8aad6fc01677882b10c5","last_reissued_at":"2026-05-18T00:17:35.925965Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:35.925965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A hydrodynamic limit for chemotaxis in a given heterogeneous environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.CB"],"primary_cat":"math.PR","authors_text":"Angela Stevens, Daniel Marahrens, Stefan Grosskinsky","submitted_at":"2015-08-14T16:57:41Z","abstract_excerpt":"In this paper the first equation within a class of well known chemotaxis systems is derived as a hydrodynamic limit from a stochastic interacting many particle system on the lattice. The cells are assumed to interact with attractive chemical molecules on a finite number of lattice sites, but they only directly interact among themselves on the same lattice site. The chemical environment is assumed to be stationary with a slowly varying mean, which results in a non-trivial macroscopic chemotaxis equation for the cells. Methodologically the limiting procedure and its proofs are based on results b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.03569","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":"1508.03569","created_at":"2026-05-18T00:17:35.926040+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.03569v1","created_at":"2026-05-18T00:17:35.926040+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.03569","created_at":"2026-05-18T00:17:35.926040+00:00"},{"alias_kind":"pith_short_12","alias_value":"WFT4UUR3RIKD","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_16","alias_value":"WFT4UUR3RIKDEMSN","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_8","alias_value":"WFT4UUR3","created_at":"2026-05-18T12:29:47.479230+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/WFT4UUR3RIKDEMSNMHLGUWUTFH","json":"https://pith.science/pith/WFT4UUR3RIKDEMSNMHLGUWUTFH.json","graph_json":"https://pith.science/api/pith-number/WFT4UUR3RIKDEMSNMHLGUWUTFH/graph.json","events_json":"https://pith.science/api/pith-number/WFT4UUR3RIKDEMSNMHLGUWUTFH/events.json","paper":"https://pith.science/paper/WFT4UUR3"},"agent_actions":{"view_html":"https://pith.science/pith/WFT4UUR3RIKDEMSNMHLGUWUTFH","download_json":"https://pith.science/pith/WFT4UUR3RIKDEMSNMHLGUWUTFH.json","view_paper":"https://pith.science/paper/WFT4UUR3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.03569&json=true","fetch_graph":"https://pith.science/api/pith-number/WFT4UUR3RIKDEMSNMHLGUWUTFH/graph.json","fetch_events":"https://pith.science/api/pith-number/WFT4UUR3RIKDEMSNMHLGUWUTFH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WFT4UUR3RIKDEMSNMHLGUWUTFH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WFT4UUR3RIKDEMSNMHLGUWUTFH/action/storage_attestation","attest_author":"https://pith.science/pith/WFT4UUR3RIKDEMSNMHLGUWUTFH/action/author_attestation","sign_citation":"https://pith.science/pith/WFT4UUR3RIKDEMSNMHLGUWUTFH/action/citation_signature","submit_replication":"https://pith.science/pith/WFT4UUR3RIKDEMSNMHLGUWUTFH/action/replication_record"}},"created_at":"2026-05-18T00:17:35.926040+00:00","updated_at":"2026-05-18T00:17:35.926040+00:00"}