{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:FPEJUY6MEUKHY7VCCFE6RUNLYT","short_pith_number":"pith:FPEJUY6M","canonical_record":{"source":{"id":"2504.20336","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-04-29T01:01:14Z","cross_cats_sorted":[],"title_canon_sha256":"6e29b1977f1bbd2bf29f1105e13222c9a656d27b5aeafd62c5ba03b321d05234","abstract_canon_sha256":"e4e29fc5ea8bba7a0332fd3dc543a0dac2db9ce0ed316d6e8624d12268644864"},"schema_version":"1.0"},"canonical_sha256":"2bc89a63cc25147c7ea21149e8d1abc4e74926066cc06b0ef648944319a61df5","source":{"kind":"arxiv","id":"2504.20336","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.20336","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"arxiv_version","alias_value":"2504.20336v2","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.20336","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"pith_short_12","alias_value":"FPEJUY6MEUKH","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"pith_short_16","alias_value":"FPEJUY6MEUKHY7VC","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"pith_short_8","alias_value":"FPEJUY6M","created_at":"2026-07-05T11:14:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:FPEJUY6MEUKHY7VCCFE6RUNLYT","target":"record","payload":{"canonical_record":{"source":{"id":"2504.20336","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-04-29T01:01:14Z","cross_cats_sorted":[],"title_canon_sha256":"6e29b1977f1bbd2bf29f1105e13222c9a656d27b5aeafd62c5ba03b321d05234","abstract_canon_sha256":"e4e29fc5ea8bba7a0332fd3dc543a0dac2db9ce0ed316d6e8624d12268644864"},"schema_version":"1.0"},"canonical_sha256":"2bc89a63cc25147c7ea21149e8d1abc4e74926066cc06b0ef648944319a61df5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:14:58.858763Z","signature_b64":"nquvHGzM1vF0KhTMNsariuT7r631dslnbtyvKLQBWF00dbDwmEBsOMY5D/4YvVwm54bk4+conkKjIw75lyYjDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2bc89a63cc25147c7ea21149e8d1abc4e74926066cc06b0ef648944319a61df5","last_reissued_at":"2026-07-05T11:14:58.858185Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:14:58.858185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.20336","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:14:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YnJ004RpGeMXNPOB4gqxFq2QuTLAIHUAexs/1d3un4DggKIEzf16/vy1VP81AI4WIn058fLUhgbVsJtXww4iBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T23:22:19.415104Z"},"content_sha256":"bb76d4437f72b8f0db67cc9307db1de25cb7668533973b1fc595cf4e97dbabed","schema_version":"1.0","event_id":"sha256:bb76d4437f72b8f0db67cc9307db1de25cb7668533973b1fc595cf4e97dbabed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:FPEJUY6MEUKHY7VCCFE6RUNLYT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reinforcement-learning-assisted control of four-roll mills: geometric symmetry and inertial effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Da Xu, Mengqi Zhang, Xuan Dai, Yantao Yang","submitted_at":"2025-04-29T01:01:14Z","abstract_excerpt":"Embedding the intrinsic symmetry of a flow system in training its machine learning algorithms has become a significant trend in the recent surge of their application in fluid mechanics. This paper leverages the geometric symmetry of a four-roll mill (FRM) to enhance its training efficiency. Stabilizing and precisely controlling droplet trajectories in a FRM is challenging due to the unstable nature of the extensional flow with a saddle point. Extending the work of Vona & Lauga, this study applies Deep Reinforcement Learning (DRL) to effectively guide a displaced droplet to the center of the FR"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.20336","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.20336/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:14:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IAWYNqnqufhqF/lr42eZCxnaWbPAqsvhf1GZETEnCS/6b8S4+yw2O8q8XW2I81ArspxPK42+tgOa7gIGL9+kDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T23:22:19.415613Z"},"content_sha256":"0b4ec74a2f42ac5dbdecd63ff672234d45ff1ac868875cc2ee9160aab683d09c","schema_version":"1.0","event_id":"sha256:0b4ec74a2f42ac5dbdecd63ff672234d45ff1ac868875cc2ee9160aab683d09c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FPEJUY6MEUKHY7VCCFE6RUNLYT/bundle.json","state_url":"https://pith.science/pith/FPEJUY6MEUKHY7VCCFE6RUNLYT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FPEJUY6MEUKHY7VCCFE6RUNLYT/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":"2026-08-21T23:22:19Z","links":{"resolver":"https://pith.science/pith/FPEJUY6MEUKHY7VCCFE6RUNLYT","bundle":"https://pith.science/pith/FPEJUY6MEUKHY7VCCFE6RUNLYT/bundle.json","state":"https://pith.science/pith/FPEJUY6MEUKHY7VCCFE6RUNLYT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FPEJUY6MEUKHY7VCCFE6RUNLYT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:FPEJUY6MEUKHY7VCCFE6RUNLYT","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":"e4e29fc5ea8bba7a0332fd3dc543a0dac2db9ce0ed316d6e8624d12268644864","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-04-29T01:01:14Z","title_canon_sha256":"6e29b1977f1bbd2bf29f1105e13222c9a656d27b5aeafd62c5ba03b321d05234"},"schema_version":"1.0","source":{"id":"2504.20336","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.20336","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"arxiv_version","alias_value":"2504.20336v2","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.20336","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"pith_short_12","alias_value":"FPEJUY6MEUKH","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"pith_short_16","alias_value":"FPEJUY6MEUKHY7VC","created_at":"2026-07-05T11:14:58Z"},{"alias_kind":"pith_short_8","alias_value":"FPEJUY6M","created_at":"2026-07-05T11:14:58Z"}],"graph_snapshots":[{"event_id":"sha256:0b4ec74a2f42ac5dbdecd63ff672234d45ff1ac868875cc2ee9160aab683d09c","target":"graph","created_at":"2026-07-05T11:14:58Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2504.20336/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Embedding the intrinsic symmetry of a flow system in training its machine learning algorithms has become a significant trend in the recent surge of their application in fluid mechanics. This paper leverages the geometric symmetry of a four-roll mill (FRM) to enhance its training efficiency. Stabilizing and precisely controlling droplet trajectories in a FRM is challenging due to the unstable nature of the extensional flow with a saddle point. Extending the work of Vona & Lauga, this study applies Deep Reinforcement Learning (DRL) to effectively guide a displaced droplet to the center of the FR","authors_text":"Da Xu, Mengqi Zhang, Xuan Dai, Yantao Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-04-29T01:01:14Z","title":"Reinforcement-learning-assisted control of four-roll mills: geometric symmetry and inertial effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.20336","kind":"arxiv","version":2},"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:bb76d4437f72b8f0db67cc9307db1de25cb7668533973b1fc595cf4e97dbabed","target":"record","created_at":"2026-07-05T11:14:58Z","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":"e4e29fc5ea8bba7a0332fd3dc543a0dac2db9ce0ed316d6e8624d12268644864","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-04-29T01:01:14Z","title_canon_sha256":"6e29b1977f1bbd2bf29f1105e13222c9a656d27b5aeafd62c5ba03b321d05234"},"schema_version":"1.0","source":{"id":"2504.20336","kind":"arxiv","version":2}},"canonical_sha256":"2bc89a63cc25147c7ea21149e8d1abc4e74926066cc06b0ef648944319a61df5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2bc89a63cc25147c7ea21149e8d1abc4e74926066cc06b0ef648944319a61df5","first_computed_at":"2026-07-05T11:14:58.858185Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:14:58.858185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nquvHGzM1vF0KhTMNsariuT7r631dslnbtyvKLQBWF00dbDwmEBsOMY5D/4YvVwm54bk4+conkKjIw75lyYjDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:14:58.858763Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.20336","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb76d4437f72b8f0db67cc9307db1de25cb7668533973b1fc595cf4e97dbabed","sha256:0b4ec74a2f42ac5dbdecd63ff672234d45ff1ac868875cc2ee9160aab683d09c"],"state_sha256":"6a37085ce960942ffffd6864c49f320d1d097d1aa41e8bd5363c34b6e16032cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JZYiXQWhHXh+SS9qxR792SwGtSHLeEXs/zCUswmjIT8wHht4bWYSjQqv5SviUAPgEAPaQQ7gFgJ0UJCSSVbNAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T23:22:19.420727Z","bundle_sha256":"5addd3e3130738a7abfde12ddbcfd2c1dea527781531db83bfadbc8327af4426"}}