{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:YSAW3TE4E4OPYIK6QWUHOTE2FH","short_pith_number":"pith:YSAW3TE4","canonical_record":{"source":{"id":"2502.03567","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-02-05T19:29:32Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"560938e99c6bececfca9b386f0882264173a953bf3cc4a38be05370f56be9870","abstract_canon_sha256":"e7fa6e3ba0d899e53586ef8fc057858d606d3ca02834bfcfbdd23486014570c6"},"schema_version":"1.0"},"canonical_sha256":"c4816dcc9c271cfc215e85a8774c9a29fd5effa2150a6507b06e5ba12f0d0b53","source":{"kind":"arxiv","id":"2502.03567","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.03567","created_at":"2026-07-05T11:23:23Z"},{"alias_kind":"arxiv_version","alias_value":"2502.03567v2","created_at":"2026-07-05T11:23:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.03567","created_at":"2026-07-05T11:23:23Z"},{"alias_kind":"pith_short_12","alias_value":"YSAW3TE4E4OP","created_at":"2026-07-05T11:23:23Z"},{"alias_kind":"pith_short_16","alias_value":"YSAW3TE4E4OPYIK6","created_at":"2026-07-05T11:23:23Z"},{"alias_kind":"pith_short_8","alias_value":"YSAW3TE4","created_at":"2026-07-05T11:23:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:YSAW3TE4E4OPYIK6QWUHOTE2FH","target":"record","payload":{"canonical_record":{"source":{"id":"2502.03567","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-02-05T19:29:32Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"560938e99c6bececfca9b386f0882264173a953bf3cc4a38be05370f56be9870","abstract_canon_sha256":"e7fa6e3ba0d899e53586ef8fc057858d606d3ca02834bfcfbdd23486014570c6"},"schema_version":"1.0"},"canonical_sha256":"c4816dcc9c271cfc215e85a8774c9a29fd5effa2150a6507b06e5ba12f0d0b53","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:23:23.124232Z","signature_b64":"RJwwCjpYBI6C14oLYxtCMj0t7cJTZQMFJseCmdiq4i0717EDppEHcckztKUWawOI65f1UiYjaam6P0TB5DXMCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4816dcc9c271cfc215e85a8774c9a29fd5effa2150a6507b06e5ba12f0d0b53","last_reissued_at":"2026-07-05T11:23:23.123727Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:23:23.123727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.03567","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":"2026-07-05T11:23:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oofB5catNLou07X2zQyHJ1xIgltMZ3mIRzNMGUtYfgYbjbDQQyvgAzMzXdR8MP2MOhNgqcniXo7GzrYsZq6fDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T17:29:17.716943Z"},"content_sha256":"32fed302e466d4b44c8f975b70380a07aa47f6981e69095bbda9fd7c7ac1cd09","schema_version":"1.0","event_id":"sha256:32fed302e466d4b44c8f975b70380a07aa47f6981e69095bbda9fd7c7ac1cd09"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:YSAW3TE4E4OPYIK6QWUHOTE2FH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Information-optimal mixing at low Reynolds number","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrej Vilfan, Luca Cocconi, Yihong Shi","submitted_at":"2025-02-05T19:29:32Z","abstract_excerpt":"Mutual information between particle positions before and after mixing provides a universal assumption-free measure of mixing efficiency at low Reynolds number which accounts for the kinematic reversibility of the Stokes equation. For a generic planar shear flow with time-dependent shear rate, we derive a compact expression for the mutual information as a nonlinear functional of the shearing protocol and solve the associated extremisation problem exactly to determine the optimal control under both linear and non-linear constraints, specifically total shear and total dissipation per unit volume."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.03567","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/2502.03567/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":"2026-07-05T11:23:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6xFxMS2BpneZANat51epeGvaL19bLpn0vdv38X9tur7PsWyatf2tz+zXd/nLtE8qwKwQezE7Kn9jro62493iBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T17:29:17.717971Z"},"content_sha256":"105538a4280497f2988cc2824656cddfdda3da6d2985386260870175b85621c4","schema_version":"1.0","event_id":"sha256:105538a4280497f2988cc2824656cddfdda3da6d2985386260870175b85621c4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YSAW3TE4E4OPYIK6QWUHOTE2FH/bundle.json","state_url":"https://pith.science/pith/YSAW3TE4E4OPYIK6QWUHOTE2FH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YSAW3TE4E4OPYIK6QWUHOTE2FH/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":"2026-08-14T17:29:17Z","links":{"resolver":"https://pith.science/pith/YSAW3TE4E4OPYIK6QWUHOTE2FH","bundle":"https://pith.science/pith/YSAW3TE4E4OPYIK6QWUHOTE2FH/bundle.json","state":"https://pith.science/pith/YSAW3TE4E4OPYIK6QWUHOTE2FH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YSAW3TE4E4OPYIK6QWUHOTE2FH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:YSAW3TE4E4OPYIK6QWUHOTE2FH","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":"e7fa6e3ba0d899e53586ef8fc057858d606d3ca02834bfcfbdd23486014570c6","cross_cats_sorted":["physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-02-05T19:29:32Z","title_canon_sha256":"560938e99c6bececfca9b386f0882264173a953bf3cc4a38be05370f56be9870"},"schema_version":"1.0","source":{"id":"2502.03567","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.03567","created_at":"2026-07-05T11:23:23Z"},{"alias_kind":"arxiv_version","alias_value":"2502.03567v2","created_at":"2026-07-05T11:23:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.03567","created_at":"2026-07-05T11:23:23Z"},{"alias_kind":"pith_short_12","alias_value":"YSAW3TE4E4OP","created_at":"2026-07-05T11:23:23Z"},{"alias_kind":"pith_short_16","alias_value":"YSAW3TE4E4OPYIK6","created_at":"2026-07-05T11:23:23Z"},{"alias_kind":"pith_short_8","alias_value":"YSAW3TE4","created_at":"2026-07-05T11:23:23Z"}],"graph_snapshots":[{"event_id":"sha256:105538a4280497f2988cc2824656cddfdda3da6d2985386260870175b85621c4","target":"graph","created_at":"2026-07-05T11:23:23Z","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/2502.03567/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Mutual information between particle positions before and after mixing provides a universal assumption-free measure of mixing efficiency at low Reynolds number which accounts for the kinematic reversibility of the Stokes equation. For a generic planar shear flow with time-dependent shear rate, we derive a compact expression for the mutual information as a nonlinear functional of the shearing protocol and solve the associated extremisation problem exactly to determine the optimal control under both linear and non-linear constraints, specifically total shear and total dissipation per unit volume.","authors_text":"Andrej Vilfan, Luca Cocconi, Yihong Shi","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-02-05T19:29:32Z","title":"Information-optimal mixing at low Reynolds number"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.03567","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":"sha256:32fed302e466d4b44c8f975b70380a07aa47f6981e69095bbda9fd7c7ac1cd09","target":"record","created_at":"2026-07-05T11:23:23Z","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":"e7fa6e3ba0d899e53586ef8fc057858d606d3ca02834bfcfbdd23486014570c6","cross_cats_sorted":["physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-02-05T19:29:32Z","title_canon_sha256":"560938e99c6bececfca9b386f0882264173a953bf3cc4a38be05370f56be9870"},"schema_version":"1.0","source":{"id":"2502.03567","kind":"arxiv","version":2}},"canonical_sha256":"c4816dcc9c271cfc215e85a8774c9a29fd5effa2150a6507b06e5ba12f0d0b53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4816dcc9c271cfc215e85a8774c9a29fd5effa2150a6507b06e5ba12f0d0b53","first_computed_at":"2026-07-05T11:23:23.123727Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:23:23.123727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RJwwCjpYBI6C14oLYxtCMj0t7cJTZQMFJseCmdiq4i0717EDppEHcckztKUWawOI65f1UiYjaam6P0TB5DXMCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:23:23.124232Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.03567","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32fed302e466d4b44c8f975b70380a07aa47f6981e69095bbda9fd7c7ac1cd09","sha256:105538a4280497f2988cc2824656cddfdda3da6d2985386260870175b85621c4"],"state_sha256":"5bd4ab62e9c350db06da4257338cd1dc9880cfaf590624558c4da0da08514d9a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BBNqUmHMmL2Q1t2uh0jbEVJMVfjpygu3FuIJr4qrzgi/ekGgbiwsZg9xUnpieNetd+3Q+WrUw5NsBqbaYUEOBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T17:29:17.726714Z","bundle_sha256":"5b608524d8c6997d0c2c4c6fdad4a13bb9d4cad89ac1c5c251cf1eb23cce6d74"}}