{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7U5SOCDCZWAKKJI3NDC2YDSH4B","short_pith_number":"pith:7U5SOCDC","canonical_record":{"source":{"id":"1508.04806","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-08-19T21:47:16Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"39e072570466bb55289d6b6eac4f05f3fa65b93a883799488dbeb5d78359a1ba","abstract_canon_sha256":"4d402a6250b700469c222d6263b8c6eb6ecbf0bc9c86df0adcc1da81824818bd"},"schema_version":"1.0"},"canonical_sha256":"fd3b270862cd80a5251b68c5ac0e47e07472fdb523d577ae1e67616dfbeeeace","source":{"kind":"arxiv","id":"1508.04806","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.04806","created_at":"2026-05-18T01:24:18Z"},{"alias_kind":"arxiv_version","alias_value":"1508.04806v1","created_at":"2026-05-18T01:24:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.04806","created_at":"2026-05-18T01:24:18Z"},{"alias_kind":"pith_short_12","alias_value":"7U5SOCDCZWAK","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7U5SOCDCZWAKKJI3","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7U5SOCDC","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7U5SOCDCZWAKKJI3NDC2YDSH4B","target":"record","payload":{"canonical_record":{"source":{"id":"1508.04806","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-08-19T21:47:16Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"39e072570466bb55289d6b6eac4f05f3fa65b93a883799488dbeb5d78359a1ba","abstract_canon_sha256":"4d402a6250b700469c222d6263b8c6eb6ecbf0bc9c86df0adcc1da81824818bd"},"schema_version":"1.0"},"canonical_sha256":"fd3b270862cd80a5251b68c5ac0e47e07472fdb523d577ae1e67616dfbeeeace","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:18.483200Z","signature_b64":"Dgr4LpTytqnVOr8V1GLe7zfiYb9YZ1EMe9mlUSumEQKfUbSs+TFRW9sCWRJJzYZ4W+f3S8b9phUOR/2Y8w5SAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd3b270862cd80a5251b68c5ac0e47e07472fdb523d577ae1e67616dfbeeeace","last_reissued_at":"2026-05-18T01:24:18.482777Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:18.482777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.04806","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":"2026-05-18T01:24:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7c10gClx21gVUo9fT3Ti43YPg9IAm1rXB8JvrD8Irh2vBs23SAffMF5RurZHlJlT3LvwpQ0bedl/Kxpnq4scDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:31:10.533025Z"},"content_sha256":"a33b4f23c37e50df3be5ea5802ed26a3124e431f0ccf9c7dac8fb9d2b6934169","schema_version":"1.0","event_id":"sha256:a33b4f23c37e50df3be5ea5802ed26a3124e431f0ccf9c7dac8fb9d2b6934169"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7U5SOCDCZWAKKJI3NDC2YDSH4B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Between giant oscillations and uniform distribution of droplets -- the role of varying lumen of channels in microfluidic networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"physics.flu-dyn","authors_text":"Olgierd Cybulski, Piotr Garstecki, Slawomir Jakiela","submitted_at":"2015-08-19T21:47:16Z","abstract_excerpt":"The simplest microfluidic network (a loop) comprises two parallel channels with a common inlet and a common outlet. Recent studies, that assumed constant cross-section of the channels along their length, have shown that the sequence of droplets entering left (L) or right (R) arm of the loop can present either a uniform distribution of choices (e.g. RLRLRL...) or long sequences of repeated choices (RRR...LLL), with all the intermediate permutations being dynamically equivalent and virtually equally probable to be observed. We use experiments and computer simulations to show that even small vari"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04806","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":"2026-05-18T01:24:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4/KcSVmExDdCsjC/YewHltIqBNoWsysWLR5baqYM2eFYSvclToS6kCFZQRbKq4YKI+D119QfSpEYGkL0CDJBAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:31:10.533642Z"},"content_sha256":"21e3f165535642f5ac7c3622f5702b50fde9b5193da6972b80fc16cfe241d257","schema_version":"1.0","event_id":"sha256:21e3f165535642f5ac7c3622f5702b50fde9b5193da6972b80fc16cfe241d257"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7U5SOCDCZWAKKJI3NDC2YDSH4B/bundle.json","state_url":"https://pith.science/pith/7U5SOCDCZWAKKJI3NDC2YDSH4B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7U5SOCDCZWAKKJI3NDC2YDSH4B/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":"2026-05-28T04:31:10Z","links":{"resolver":"https://pith.science/pith/7U5SOCDCZWAKKJI3NDC2YDSH4B","bundle":"https://pith.science/pith/7U5SOCDCZWAKKJI3NDC2YDSH4B/bundle.json","state":"https://pith.science/pith/7U5SOCDCZWAKKJI3NDC2YDSH4B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7U5SOCDCZWAKKJI3NDC2YDSH4B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7U5SOCDCZWAKKJI3NDC2YDSH4B","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":"4d402a6250b700469c222d6263b8c6eb6ecbf0bc9c86df0adcc1da81824818bd","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-08-19T21:47:16Z","title_canon_sha256":"39e072570466bb55289d6b6eac4f05f3fa65b93a883799488dbeb5d78359a1ba"},"schema_version":"1.0","source":{"id":"1508.04806","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.04806","created_at":"2026-05-18T01:24:18Z"},{"alias_kind":"arxiv_version","alias_value":"1508.04806v1","created_at":"2026-05-18T01:24:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.04806","created_at":"2026-05-18T01:24:18Z"},{"alias_kind":"pith_short_12","alias_value":"7U5SOCDCZWAK","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7U5SOCDCZWAKKJI3","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7U5SOCDC","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:21e3f165535642f5ac7c3622f5702b50fde9b5193da6972b80fc16cfe241d257","target":"graph","created_at":"2026-05-18T01:24:18Z","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 simplest microfluidic network (a loop) comprises two parallel channels with a common inlet and a common outlet. Recent studies, that assumed constant cross-section of the channels along their length, have shown that the sequence of droplets entering left (L) or right (R) arm of the loop can present either a uniform distribution of choices (e.g. RLRLRL...) or long sequences of repeated choices (RRR...LLL), with all the intermediate permutations being dynamically equivalent and virtually equally probable to be observed. We use experiments and computer simulations to show that even small vari","authors_text":"Olgierd Cybulski, Piotr Garstecki, Slawomir Jakiela","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-08-19T21:47:16Z","title":"Between giant oscillations and uniform distribution of droplets -- the role of varying lumen of channels in microfluidic networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04806","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:a33b4f23c37e50df3be5ea5802ed26a3124e431f0ccf9c7dac8fb9d2b6934169","target":"record","created_at":"2026-05-18T01:24:18Z","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":"4d402a6250b700469c222d6263b8c6eb6ecbf0bc9c86df0adcc1da81824818bd","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-08-19T21:47:16Z","title_canon_sha256":"39e072570466bb55289d6b6eac4f05f3fa65b93a883799488dbeb5d78359a1ba"},"schema_version":"1.0","source":{"id":"1508.04806","kind":"arxiv","version":1}},"canonical_sha256":"fd3b270862cd80a5251b68c5ac0e47e07472fdb523d577ae1e67616dfbeeeace","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd3b270862cd80a5251b68c5ac0e47e07472fdb523d577ae1e67616dfbeeeace","first_computed_at":"2026-05-18T01:24:18.482777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:18.482777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dgr4LpTytqnVOr8V1GLe7zfiYb9YZ1EMe9mlUSumEQKfUbSs+TFRW9sCWRJJzYZ4W+f3S8b9phUOR/2Y8w5SAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:18.483200Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.04806","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a33b4f23c37e50df3be5ea5802ed26a3124e431f0ccf9c7dac8fb9d2b6934169","sha256:21e3f165535642f5ac7c3622f5702b50fde9b5193da6972b80fc16cfe241d257"],"state_sha256":"fed48ce8e26b4e65e1ee3a3a7a62c85b647ed36e9c5580d478b83c900ff1ad5e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BgL/E3miEelW3ZD8RAvYPUyWTX73BNAKzibnZp4aov10oGcI7HzoTUpSp+9oVJnpFmsLyXGUjznVsJ2FZDcJAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T04:31:10.536010Z","bundle_sha256":"7bb771d5af61d75038ef1c2e1d3f85c7abc18ecea0830ecbb6304b1d12cac8a4"}}