{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:EUNIV5PJKUTP2N5PW43GHM4523","short_pith_number":"pith:EUNIV5PJ","canonical_record":{"source":{"id":"1312.4653","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-12-17T05:56:51Z","cross_cats_sorted":[],"title_canon_sha256":"205c3bf00eb0a479ddcc353df73a0757c3261389da9d51f4d98cbff8e9db5fbe","abstract_canon_sha256":"059c58ab8eeb23c653ae29065aeaa7c14244d6afb68a467811b7d738644a854b"},"schema_version":"1.0"},"canonical_sha256":"251a8af5e95526fd37afb73663b39dd6ce4f54e15ddbb54041c21824a7a21a6b","source":{"kind":"arxiv","id":"1312.4653","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4653","created_at":"2026-05-18T01:10:46Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4653v3","created_at":"2026-05-18T01:10:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4653","created_at":"2026-05-18T01:10:46Z"},{"alias_kind":"pith_short_12","alias_value":"EUNIV5PJKUTP","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EUNIV5PJKUTP2N5P","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EUNIV5PJ","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:EUNIV5PJKUTP2N5PW43GHM4523","target":"record","payload":{"canonical_record":{"source":{"id":"1312.4653","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-12-17T05:56:51Z","cross_cats_sorted":[],"title_canon_sha256":"205c3bf00eb0a479ddcc353df73a0757c3261389da9d51f4d98cbff8e9db5fbe","abstract_canon_sha256":"059c58ab8eeb23c653ae29065aeaa7c14244d6afb68a467811b7d738644a854b"},"schema_version":"1.0"},"canonical_sha256":"251a8af5e95526fd37afb73663b39dd6ce4f54e15ddbb54041c21824a7a21a6b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:46.134425Z","signature_b64":"rTORaDNOAngCw+BZWCVPl4XFxE9TAd5Qy2DN5qkCgRzM9QIN0BVXyAYdd0xoQgttqV+ypEFADidPRlEDp7YLBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"251a8af5e95526fd37afb73663b39dd6ce4f54e15ddbb54041c21824a7a21a6b","last_reissued_at":"2026-05-18T01:10:46.133949Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:46.133949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.4653","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:10:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vs2kmjjeUCzcCrv5NE7DHx+RxaXnN45eN2IvrgQOZblGkJwdW6kqNSzKwn5EfEQYKzcHdaKPXnTv3RV9G7RyBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T07:14:48.296658Z"},"content_sha256":"d1b4334a463840ded86ed31b4e7263db470db03eb5440bec2a901a2f98de4426","schema_version":"1.0","event_id":"sha256:d1b4334a463840ded86ed31b4e7263db470db03eb5440bec2a901a2f98de4426"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:EUNIV5PJKUTP2N5PW43GHM4523","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inertial migration of a rigid sphere in three-dimensional Poiseuille flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Kaitlyn Hood, Marcus Roper, Sungyon Lee","submitted_at":"2013-12-17T05:56:51Z","abstract_excerpt":"Inertial lift forces are exploited within inertial microfluidic devices to position, segregate, and sort particles or droplets. However the forces and their focusing positions can currently only be predicted by numerical simulations, making rational device design very difficult. Here we develop theory for the forces on particles in microchannel geometries. We use numerical experiments to dissect the dominant balances within the Navier-Stokes equations and derive an asymptotic model to predict the lateral force on the particle as a function of particle size. Our asymptotic model is valid for a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4653","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:10:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/vT70T7t/V3khKCiXGKNPuAyE/ZbIxbCRWgc19rcv9wZ7vgwRMoa5cZrx6O/qgCSzk1KojgKJDUlKi/XcYFPBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T07:14:48.297251Z"},"content_sha256":"ac1370734b265dd19dd95ab74d5168d6e8d8a47e17ba373684c14f59090e0dbb","schema_version":"1.0","event_id":"sha256:ac1370734b265dd19dd95ab74d5168d6e8d8a47e17ba373684c14f59090e0dbb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EUNIV5PJKUTP2N5PW43GHM4523/bundle.json","state_url":"https://pith.science/pith/EUNIV5PJKUTP2N5PW43GHM4523/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EUNIV5PJKUTP2N5PW43GHM4523/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T07:14:48Z","links":{"resolver":"https://pith.science/pith/EUNIV5PJKUTP2N5PW43GHM4523","bundle":"https://pith.science/pith/EUNIV5PJKUTP2N5PW43GHM4523/bundle.json","state":"https://pith.science/pith/EUNIV5PJKUTP2N5PW43GHM4523/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EUNIV5PJKUTP2N5PW43GHM4523/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EUNIV5PJKUTP2N5PW43GHM4523","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"059c58ab8eeb23c653ae29065aeaa7c14244d6afb68a467811b7d738644a854b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-12-17T05:56:51Z","title_canon_sha256":"205c3bf00eb0a479ddcc353df73a0757c3261389da9d51f4d98cbff8e9db5fbe"},"schema_version":"1.0","source":{"id":"1312.4653","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4653","created_at":"2026-05-18T01:10:46Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4653v3","created_at":"2026-05-18T01:10:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4653","created_at":"2026-05-18T01:10:46Z"},{"alias_kind":"pith_short_12","alias_value":"EUNIV5PJKUTP","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EUNIV5PJKUTP2N5P","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EUNIV5PJ","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:ac1370734b265dd19dd95ab74d5168d6e8d8a47e17ba373684c14f59090e0dbb","target":"graph","created_at":"2026-05-18T01:10:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Inertial lift forces are exploited within inertial microfluidic devices to position, segregate, and sort particles or droplets. However the forces and their focusing positions can currently only be predicted by numerical simulations, making rational device design very difficult. Here we develop theory for the forces on particles in microchannel geometries. We use numerical experiments to dissect the dominant balances within the Navier-Stokes equations and derive an asymptotic model to predict the lateral force on the particle as a function of particle size. Our asymptotic model is valid for a ","authors_text":"Kaitlyn Hood, Marcus Roper, Sungyon Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-12-17T05:56:51Z","title":"Inertial migration of a rigid sphere in three-dimensional Poiseuille flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4653","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d1b4334a463840ded86ed31b4e7263db470db03eb5440bec2a901a2f98de4426","target":"record","created_at":"2026-05-18T01:10:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"059c58ab8eeb23c653ae29065aeaa7c14244d6afb68a467811b7d738644a854b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-12-17T05:56:51Z","title_canon_sha256":"205c3bf00eb0a479ddcc353df73a0757c3261389da9d51f4d98cbff8e9db5fbe"},"schema_version":"1.0","source":{"id":"1312.4653","kind":"arxiv","version":3}},"canonical_sha256":"251a8af5e95526fd37afb73663b39dd6ce4f54e15ddbb54041c21824a7a21a6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"251a8af5e95526fd37afb73663b39dd6ce4f54e15ddbb54041c21824a7a21a6b","first_computed_at":"2026-05-18T01:10:46.133949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:46.133949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rTORaDNOAngCw+BZWCVPl4XFxE9TAd5Qy2DN5qkCgRzM9QIN0BVXyAYdd0xoQgttqV+ypEFADidPRlEDp7YLBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:46.134425Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.4653","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1b4334a463840ded86ed31b4e7263db470db03eb5440bec2a901a2f98de4426","sha256:ac1370734b265dd19dd95ab74d5168d6e8d8a47e17ba373684c14f59090e0dbb"],"state_sha256":"2fc1cbe734f80b4115d54f56634cf97619379496374d17940f5cb963adeeeada"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0+SEJfXG+XfvHZX3Sz71WUGuqXmtF1XJTFaIcCBla1ImlO3USfwYiY790BMPZJoJqnvuXpMFEAePeVbTi5XcCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T07:14:48.301074Z","bundle_sha256":"68bf737799465e7f23eabe4bfdae5bf85b0a897308f5155147faf83c21fc0066"}}