{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:YNYYX4D3IWDDOHLNRKRMVTNX5J","short_pith_number":"pith:YNYYX4D3","canonical_record":{"source":{"id":"1510.07942","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-10-27T15:37:20Z","cross_cats_sorted":["cond-mat.soft","physics.bio-ph"],"title_canon_sha256":"88bab1911e9448be400f645422f543dc05157c22dd8e81fe79dfadd6e380bfc1","abstract_canon_sha256":"722122dbbd8eb921cfb824ca5f421b073828a45d5277b22030a0cab96fecea2d"},"schema_version":"1.0"},"canonical_sha256":"c3718bf07b4586371d6d8aa2cacdb7ea72070e34cf6d562d53a79f7e4a6f7604","source":{"kind":"arxiv","id":"1510.07942","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07942","created_at":"2026-05-18T01:04:50Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07942v1","created_at":"2026-05-18T01:04:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07942","created_at":"2026-05-18T01:04:50Z"},{"alias_kind":"pith_short_12","alias_value":"YNYYX4D3IWDD","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YNYYX4D3IWDDOHLN","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YNYYX4D3","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:YNYYX4D3IWDDOHLNRKRMVTNX5J","target":"record","payload":{"canonical_record":{"source":{"id":"1510.07942","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-10-27T15:37:20Z","cross_cats_sorted":["cond-mat.soft","physics.bio-ph"],"title_canon_sha256":"88bab1911e9448be400f645422f543dc05157c22dd8e81fe79dfadd6e380bfc1","abstract_canon_sha256":"722122dbbd8eb921cfb824ca5f421b073828a45d5277b22030a0cab96fecea2d"},"schema_version":"1.0"},"canonical_sha256":"c3718bf07b4586371d6d8aa2cacdb7ea72070e34cf6d562d53a79f7e4a6f7604","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:50.392691Z","signature_b64":"Om+I7o7SPeWdnCRT12d4BrT0rG+smxCKXRzBlrXCnEYLPiDSlYUF5G5d0mRNrZdWZRbVH1Z7vUAS4EscrUdYDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3718bf07b4586371d6d8aa2cacdb7ea72070e34cf6d562d53a79f7e4a6f7604","last_reissued_at":"2026-05-18T01:04:50.392226Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:50.392226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.07942","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:04:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AOBGc+l51L+fs0ejYndQc/JNY1hoUIDWJpUZ7a5B8stdLTlVG5jFFS97rBT/hir6WBVryetePb1+i6ETvw2oDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T23:35:12.761022Z"},"content_sha256":"7f4006c90edc0fd1c2e25f4d821b71e74265c0d5005f6f0d1553085847a84e55","schema_version":"1.0","event_id":"sha256:7f4006c90edc0fd1c2e25f4d821b71e74265c0d5005f6f0d1553085847a84e55"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:YNYYX4D3IWDDOHLNRKRMVTNX5J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A reciprocal theorem for boundary-driven channel flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","physics.bio-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Eric Lauga, Sebastien Michelin","submitted_at":"2015-10-27T15:37:20Z","abstract_excerpt":"In a variety of physical situations, a bulk viscous flow is induced by a distribution of surface velocities, for example in diffusiophoresis (as a result of chemical gradients) and above carpets of cilia (as a result of biological activity). When such boundary-driven flows are used to pump fluids, the primary quantity of interest is the induced flow rate. In this letter we propose a method, based on the reciprocal theorem of Stokes flows, to compute the net flow rate for arbitrary flow distribution and periodic pump geometry using solely stress information from a dual Poiseuille-like problem. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07942","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:04:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JUa/BYl5ceAnYI0jKo+RciI1btzfR72Br7rO+4dM5wbkrpX3XQa8Zrx0J0DJLXhzp3nSjW4LnCTC3aFuecE/Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T23:35:12.761677Z"},"content_sha256":"63b8adab86430548d9ed85714235dddc7287de95bdd7f3e0c1bccf9b89ac4bcb","schema_version":"1.0","event_id":"sha256:63b8adab86430548d9ed85714235dddc7287de95bdd7f3e0c1bccf9b89ac4bcb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YNYYX4D3IWDDOHLNRKRMVTNX5J/bundle.json","state_url":"https://pith.science/pith/YNYYX4D3IWDDOHLNRKRMVTNX5J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YNYYX4D3IWDDOHLNRKRMVTNX5J/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":"2026-06-06T23:35:12Z","links":{"resolver":"https://pith.science/pith/YNYYX4D3IWDDOHLNRKRMVTNX5J","bundle":"https://pith.science/pith/YNYYX4D3IWDDOHLNRKRMVTNX5J/bundle.json","state":"https://pith.science/pith/YNYYX4D3IWDDOHLNRKRMVTNX5J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YNYYX4D3IWDDOHLNRKRMVTNX5J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YNYYX4D3IWDDOHLNRKRMVTNX5J","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":"722122dbbd8eb921cfb824ca5f421b073828a45d5277b22030a0cab96fecea2d","cross_cats_sorted":["cond-mat.soft","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-10-27T15:37:20Z","title_canon_sha256":"88bab1911e9448be400f645422f543dc05157c22dd8e81fe79dfadd6e380bfc1"},"schema_version":"1.0","source":{"id":"1510.07942","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07942","created_at":"2026-05-18T01:04:50Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07942v1","created_at":"2026-05-18T01:04:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07942","created_at":"2026-05-18T01:04:50Z"},{"alias_kind":"pith_short_12","alias_value":"YNYYX4D3IWDD","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YNYYX4D3IWDDOHLN","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YNYYX4D3","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:63b8adab86430548d9ed85714235dddc7287de95bdd7f3e0c1bccf9b89ac4bcb","target":"graph","created_at":"2026-05-18T01:04:50Z","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":"In a variety of physical situations, a bulk viscous flow is induced by a distribution of surface velocities, for example in diffusiophoresis (as a result of chemical gradients) and above carpets of cilia (as a result of biological activity). When such boundary-driven flows are used to pump fluids, the primary quantity of interest is the induced flow rate. In this letter we propose a method, based on the reciprocal theorem of Stokes flows, to compute the net flow rate for arbitrary flow distribution and periodic pump geometry using solely stress information from a dual Poiseuille-like problem. ","authors_text":"Eric Lauga, Sebastien Michelin","cross_cats":["cond-mat.soft","physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-10-27T15:37:20Z","title":"A reciprocal theorem for boundary-driven channel flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07942","kind":"arxiv","version":1},"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":"sha256:7f4006c90edc0fd1c2e25f4d821b71e74265c0d5005f6f0d1553085847a84e55","target":"record","created_at":"2026-05-18T01:04:50Z","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":"722122dbbd8eb921cfb824ca5f421b073828a45d5277b22030a0cab96fecea2d","cross_cats_sorted":["cond-mat.soft","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-10-27T15:37:20Z","title_canon_sha256":"88bab1911e9448be400f645422f543dc05157c22dd8e81fe79dfadd6e380bfc1"},"schema_version":"1.0","source":{"id":"1510.07942","kind":"arxiv","version":1}},"canonical_sha256":"c3718bf07b4586371d6d8aa2cacdb7ea72070e34cf6d562d53a79f7e4a6f7604","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3718bf07b4586371d6d8aa2cacdb7ea72070e34cf6d562d53a79f7e4a6f7604","first_computed_at":"2026-05-18T01:04:50.392226Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:50.392226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Om+I7o7SPeWdnCRT12d4BrT0rG+smxCKXRzBlrXCnEYLPiDSlYUF5G5d0mRNrZdWZRbVH1Z7vUAS4EscrUdYDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:50.392691Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.07942","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f4006c90edc0fd1c2e25f4d821b71e74265c0d5005f6f0d1553085847a84e55","sha256:63b8adab86430548d9ed85714235dddc7287de95bdd7f3e0c1bccf9b89ac4bcb"],"state_sha256":"89859b3b6b117280131d7679f6798046e2bc3d8d494b1a30089887ddd23edd35"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VLOPA+vvAAPCw4+MQZCT8CN3Gtop5VWaMUyyICWCHQsLsocQ60XH6aRKGjGN4QAHjQf4bcKiwd2OTK1jmXFqCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T23:35:12.765585Z","bundle_sha256":"5466fb17637bd750e3d608301c1af0784a053d8c7000e1a9a76fcbff2189ea75"}}