{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ET5ZLCBXKLBUFIU7HYW3XRPACI","short_pith_number":"pith:ET5ZLCBX","canonical_record":{"source":{"id":"1507.04329","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-07-15T19:09:24Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"73b8d7f98171b0853a13039ae7bb3b3db49a24d7d48d71e4d1a652183dc51058","abstract_canon_sha256":"6766f249e883674a278d96aca64b6319bfc207f51ae5ae1ce66d9675e31c8211"},"schema_version":"1.0"},"canonical_sha256":"24fb95883752c342a29f3e2dbbc5e0122655a8cf3569b9dc9f1489d4cb101022","source":{"kind":"arxiv","id":"1507.04329","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.04329","created_at":"2026-05-18T01:36:48Z"},{"alias_kind":"arxiv_version","alias_value":"1507.04329v1","created_at":"2026-05-18T01:36:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.04329","created_at":"2026-05-18T01:36:48Z"},{"alias_kind":"pith_short_12","alias_value":"ET5ZLCBXKLBU","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"ET5ZLCBXKLBUFIU7","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"ET5ZLCBX","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ET5ZLCBXKLBUFIU7HYW3XRPACI","target":"record","payload":{"canonical_record":{"source":{"id":"1507.04329","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-07-15T19:09:24Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"73b8d7f98171b0853a13039ae7bb3b3db49a24d7d48d71e4d1a652183dc51058","abstract_canon_sha256":"6766f249e883674a278d96aca64b6319bfc207f51ae5ae1ce66d9675e31c8211"},"schema_version":"1.0"},"canonical_sha256":"24fb95883752c342a29f3e2dbbc5e0122655a8cf3569b9dc9f1489d4cb101022","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:48.652029Z","signature_b64":"/4gaJHFMhU1P8Qz6OYfK1GHmjOxps2k24pzNSM1G89DOlH3sTx8hmz9wD7mV3lJc3jHv00YnqeFmJkSRv8L/Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24fb95883752c342a29f3e2dbbc5e0122655a8cf3569b9dc9f1489d4cb101022","last_reissued_at":"2026-05-18T01:36:48.651490Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:48.651490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.04329","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":"2026-05-18T01:36:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e6kMhu/KxtD8vxyCiOywryA+BEqZW16YvJPsOXGPB9mZE7mePb3DAb51Ckj1S/irCa+aU7eJCa83wZi9PS6RDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:11:48.887578Z"},"content_sha256":"bf252241eed20013eed3132766bd125899bab12b0d11b794351ca9af066b3c46","schema_version":"1.0","event_id":"sha256:bf252241eed20013eed3132766bd125899bab12b0d11b794351ca9af066b3c46"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ET5ZLCBXKLBUFIU7HYW3XRPACI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Droplet in micro-channels: A numerical approach using an adaptive two phase flow solver","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"physics.flu-dyn","authors_text":"Christophe Josserand (IJLRA), Jose-Maria Fullana (IJLRA), St\\'ephane Popinet (IJLRA), Yue Ling (IJLRA)","submitted_at":"2015-07-15T19:09:24Z","abstract_excerpt":"We propose a numerical approach to study the mechanics of a flowing bubble in a constraint micro channel. Using an open source two phase flow solver (Gerris, gfs.sourceforge.net) we compute solutions of the bubble dynamics (i.e. shape and terminal velocity) induced by the interaction between the bubble movement, the Laplace pressure variation, and the lubrication film near the channel wall. Quantitative and qualitative results are presented and compared against both theory and experimental data for small Capillary numbers. We discuss the technical issues of explicit integration methods on smal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04329","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":"2026-05-18T01:36:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PsDqjdbLNfOK9MMO++Kcew8VCwQEdLD7KLKxinbABCQbcojPpblil32KzVI/8KjdRBTFexiTaSvoBaldZU4DBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:11:48.887918Z"},"content_sha256":"1029e6e3f25b2bfd0589e5b90ae8e8eb6bf4e7ffd75387d00466bc7723234a63","schema_version":"1.0","event_id":"sha256:1029e6e3f25b2bfd0589e5b90ae8e8eb6bf4e7ffd75387d00466bc7723234a63"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ET5ZLCBXKLBUFIU7HYW3XRPACI/bundle.json","state_url":"https://pith.science/pith/ET5ZLCBXKLBUFIU7HYW3XRPACI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ET5ZLCBXKLBUFIU7HYW3XRPACI/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":"2026-06-03T05:11:48Z","links":{"resolver":"https://pith.science/pith/ET5ZLCBXKLBUFIU7HYW3XRPACI","bundle":"https://pith.science/pith/ET5ZLCBXKLBUFIU7HYW3XRPACI/bundle.json","state":"https://pith.science/pith/ET5ZLCBXKLBUFIU7HYW3XRPACI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ET5ZLCBXKLBUFIU7HYW3XRPACI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ET5ZLCBXKLBUFIU7HYW3XRPACI","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":"6766f249e883674a278d96aca64b6319bfc207f51ae5ae1ce66d9675e31c8211","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-07-15T19:09:24Z","title_canon_sha256":"73b8d7f98171b0853a13039ae7bb3b3db49a24d7d48d71e4d1a652183dc51058"},"schema_version":"1.0","source":{"id":"1507.04329","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.04329","created_at":"2026-05-18T01:36:48Z"},{"alias_kind":"arxiv_version","alias_value":"1507.04329v1","created_at":"2026-05-18T01:36:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.04329","created_at":"2026-05-18T01:36:48Z"},{"alias_kind":"pith_short_12","alias_value":"ET5ZLCBXKLBU","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"ET5ZLCBXKLBUFIU7","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"ET5ZLCBX","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:1029e6e3f25b2bfd0589e5b90ae8e8eb6bf4e7ffd75387d00466bc7723234a63","target":"graph","created_at":"2026-05-18T01:36:48Z","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":"We propose a numerical approach to study the mechanics of a flowing bubble in a constraint micro channel. Using an open source two phase flow solver (Gerris, gfs.sourceforge.net) we compute solutions of the bubble dynamics (i.e. shape and terminal velocity) induced by the interaction between the bubble movement, the Laplace pressure variation, and the lubrication film near the channel wall. Quantitative and qualitative results are presented and compared against both theory and experimental data for small Capillary numbers. We discuss the technical issues of explicit integration methods on smal","authors_text":"Christophe Josserand (IJLRA), Jose-Maria Fullana (IJLRA), St\\'ephane Popinet (IJLRA), Yue Ling (IJLRA)","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-07-15T19:09:24Z","title":"Droplet in micro-channels: A numerical approach using an adaptive two phase flow solver"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04329","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:bf252241eed20013eed3132766bd125899bab12b0d11b794351ca9af066b3c46","target":"record","created_at":"2026-05-18T01:36:48Z","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":"6766f249e883674a278d96aca64b6319bfc207f51ae5ae1ce66d9675e31c8211","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-07-15T19:09:24Z","title_canon_sha256":"73b8d7f98171b0853a13039ae7bb3b3db49a24d7d48d71e4d1a652183dc51058"},"schema_version":"1.0","source":{"id":"1507.04329","kind":"arxiv","version":1}},"canonical_sha256":"24fb95883752c342a29f3e2dbbc5e0122655a8cf3569b9dc9f1489d4cb101022","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24fb95883752c342a29f3e2dbbc5e0122655a8cf3569b9dc9f1489d4cb101022","first_computed_at":"2026-05-18T01:36:48.651490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:48.651490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/4gaJHFMhU1P8Qz6OYfK1GHmjOxps2k24pzNSM1G89DOlH3sTx8hmz9wD7mV3lJc3jHv00YnqeFmJkSRv8L/Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:48.652029Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.04329","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf252241eed20013eed3132766bd125899bab12b0d11b794351ca9af066b3c46","sha256:1029e6e3f25b2bfd0589e5b90ae8e8eb6bf4e7ffd75387d00466bc7723234a63"],"state_sha256":"48133bd392a9980ac246a0396525d4a8079b07bebf281d594c6da59dca3f1379"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EVKPTNjXWXc7jW9JDrcZjJSFzqVjhsp1HYGRgZRddButzVzjiS3OCJWMyWivtc5eXp+Q/GV8beSw/pwS34S5AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T05:11:48.889834Z","bundle_sha256":"3a19a0e03534930c12c634a1314b5d64f51ed143f92458576644177a4c84aa28"}}