{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:NPNKAAISFGTSVZ26FRSARBY3EW","short_pith_number":"pith:NPNKAAIS","schema_version":"1.0","canonical_sha256":"6bdaa0011229a72ae75e2c6408871b259b0b52cd399e33f8b2ab67f410822a1c","source":{"kind":"arxiv","id":"1712.04504","version":1},"attestation_state":"computed","paper":{"title":"Integral representation of channel flow with interacting particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Alexander Leshansky, Itzhak Fouxon, Luca Brandt, Zhouyang Ge","submitted_at":"2017-12-12T20:36:39Z","abstract_excerpt":"We construct a boundary integral representation for the low-Reynolds-number flow in a channel in the presence of freely-suspended particles (or droplets) of arbitrary size and shape. We demonstrate that lubrication theory holds away from the particles at horizontal distances exceeding the channel height and derive a multipole expansion of the flow which is dipolar to the leading approximation. We show that the dipole moment of an arbitrary particle is a weighted integral of the stress and the flow at the particle surface, which can be determined numerically. We introduce the equation of motion"},"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":"1712.04504","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-12-12T20:36:39Z","cross_cats_sorted":[],"title_canon_sha256":"326c233657c4e48f366f922455bcaf03dc1189d8b27b4b4424bbe7c6066db0b5","abstract_canon_sha256":"f70858bba00a41857d32c432a0e44d5575d03190124b58566809ed0a9ae5389f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:50.984066Z","signature_b64":"YcOfza4mkpghudzE8w3A20811BfF7LKo+m5jO47sTQyZ2uXDm+JV5HFyX56M2q7PBWuLvmm7jXRkngmzFrbbCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6bdaa0011229a72ae75e2c6408871b259b0b52cd399e33f8b2ab67f410822a1c","last_reissued_at":"2026-05-18T00:25:50.983560Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:50.983560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integral representation of channel flow with interacting particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Alexander Leshansky, Itzhak Fouxon, Luca Brandt, Zhouyang Ge","submitted_at":"2017-12-12T20:36:39Z","abstract_excerpt":"We construct a boundary integral representation for the low-Reynolds-number flow in a channel in the presence of freely-suspended particles (or droplets) of arbitrary size and shape. We demonstrate that lubrication theory holds away from the particles at horizontal distances exceeding the channel height and derive a multipole expansion of the flow which is dipolar to the leading approximation. We show that the dipole moment of an arbitrary particle is a weighted integral of the stress and the flow at the particle surface, which can be determined numerically. We introduce the equation of motion"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04504","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":"1712.04504","created_at":"2026-05-18T00:25:50.983634+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.04504v1","created_at":"2026-05-18T00:25:50.983634+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04504","created_at":"2026-05-18T00:25:50.983634+00:00"},{"alias_kind":"pith_short_12","alias_value":"NPNKAAISFGTS","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_16","alias_value":"NPNKAAISFGTSVZ26","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_8","alias_value":"NPNKAAIS","created_at":"2026-05-18T12:31:34.259226+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/NPNKAAISFGTSVZ26FRSARBY3EW","json":"https://pith.science/pith/NPNKAAISFGTSVZ26FRSARBY3EW.json","graph_json":"https://pith.science/api/pith-number/NPNKAAISFGTSVZ26FRSARBY3EW/graph.json","events_json":"https://pith.science/api/pith-number/NPNKAAISFGTSVZ26FRSARBY3EW/events.json","paper":"https://pith.science/paper/NPNKAAIS"},"agent_actions":{"view_html":"https://pith.science/pith/NPNKAAISFGTSVZ26FRSARBY3EW","download_json":"https://pith.science/pith/NPNKAAISFGTSVZ26FRSARBY3EW.json","view_paper":"https://pith.science/paper/NPNKAAIS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.04504&json=true","fetch_graph":"https://pith.science/api/pith-number/NPNKAAISFGTSVZ26FRSARBY3EW/graph.json","fetch_events":"https://pith.science/api/pith-number/NPNKAAISFGTSVZ26FRSARBY3EW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NPNKAAISFGTSVZ26FRSARBY3EW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NPNKAAISFGTSVZ26FRSARBY3EW/action/storage_attestation","attest_author":"https://pith.science/pith/NPNKAAISFGTSVZ26FRSARBY3EW/action/author_attestation","sign_citation":"https://pith.science/pith/NPNKAAISFGTSVZ26FRSARBY3EW/action/citation_signature","submit_replication":"https://pith.science/pith/NPNKAAISFGTSVZ26FRSARBY3EW/action/replication_record"}},"created_at":"2026-05-18T00:25:50.983634+00:00","updated_at":"2026-05-18T00:25:50.983634+00:00"}