{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NXJZG7LU7ITKTDPGAQANB75RKS","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":"7b17107d6bc3f82c7b420e410c93c65d15e07e91f35681b104c9ca1a29366fa5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-08-15T01:35:55Z","title_canon_sha256":"41faac45e89e0e1ca3705e72ada09090fb89a5f255ecc8759cf72ede6a62397b"},"schema_version":"1.0","source":{"id":"1808.05474","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.05474","created_at":"2026-05-18T00:07:33Z"},{"alias_kind":"arxiv_version","alias_value":"1808.05474v1","created_at":"2026-05-18T00:07:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05474","created_at":"2026-05-18T00:07:33Z"},{"alias_kind":"pith_short_12","alias_value":"NXJZG7LU7ITK","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NXJZG7LU7ITKTDPG","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NXJZG7LU","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:293e8f61e3519d21b05485d31de7f55693e0b8f0bf9c65c31ebc4d141a13ce8b","target":"graph","created_at":"2026-05-18T00:07:33Z","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":"The steady thermocapillary droplet migration in a uniform temperature gradient combined with a radiation energy source at large Reynolds and Marangoni numbers is studied. To reach a terminal quasi-steady process, the magnitude of the radiation energy source is required to preserve the conservative integral thermal flux across the surface. Under the quasi-steady state assumption, an analytical result for the steady thermocapillary migration of a droplet at large Reynolds and Marangoni numbers is derived by using the method of matched asymptotic expansions. It is shown that the thermocapillary d","authors_text":"Zuo-Bing Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-08-15T01:35:55Z","title":"Steady thermocapillary migration of a droplet in a uniform temperature gradient combined with a radiation energy source at large Marangoni numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05474","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":"sha256:0c6ffe7a820bf64f4cb74828321275d1946f6b1b65f38104acd3b3ce29d1147c","target":"record","created_at":"2026-05-18T00:07:33Z","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":"7b17107d6bc3f82c7b420e410c93c65d15e07e91f35681b104c9ca1a29366fa5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-08-15T01:35:55Z","title_canon_sha256":"41faac45e89e0e1ca3705e72ada09090fb89a5f255ecc8759cf72ede6a62397b"},"schema_version":"1.0","source":{"id":"1808.05474","kind":"arxiv","version":1}},"canonical_sha256":"6dd3937d74fa26a98de60400d0ffb154ba6784c45e19eab04d93ce200bac94a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6dd3937d74fa26a98de60400d0ffb154ba6784c45e19eab04d93ce200bac94a9","first_computed_at":"2026-05-18T00:07:33.563306Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:33.563306Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9JB8ooxAriarJPRI7FDg5dzCZxrm89s1nfdduQa7fZlpKdp1pWlNxNcQe0lz0RpchprQ/H/+jXYDUp/c8cZrCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:33.563956Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.05474","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c6ffe7a820bf64f4cb74828321275d1946f6b1b65f38104acd3b3ce29d1147c","sha256:293e8f61e3519d21b05485d31de7f55693e0b8f0bf9c65c31ebc4d141a13ce8b"],"state_sha256":"cbaffb12863004e42b768d05b6eadbd1fb2c7ffb06323b47ce8ae4d64a9cc352"}