{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:BVIK3ZHPSIAIUYCLV5EHXPCVNN","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":"bba23d1e264dbd66df1b4816887769c00c6e813c44ce6f9a22805c355401e1ff","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2022-10-06T10:24:24Z","title_canon_sha256":"c072c9480b5451f0b4ed0df8342e340edf07d005a7bf8426f44c708f673687f7"},"schema_version":"1.0","source":{"id":"2210.02801","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.02801","created_at":"2026-07-05T05:32:48Z"},{"alias_kind":"arxiv_version","alias_value":"2210.02801v1","created_at":"2026-07-05T05:32:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.02801","created_at":"2026-07-05T05:32:48Z"},{"alias_kind":"pith_short_12","alias_value":"BVIK3ZHPSIAI","created_at":"2026-07-05T05:32:48Z"},{"alias_kind":"pith_short_16","alias_value":"BVIK3ZHPSIAIUYCL","created_at":"2026-07-05T05:32:48Z"},{"alias_kind":"pith_short_8","alias_value":"BVIK3ZHP","created_at":"2026-07-05T05:32:48Z"}],"graph_snapshots":[{"event_id":"sha256:243a1b19b751af8c5974fcfa5ce139679b71c10ad9ffd95d84bee008ebd94102","target":"graph","created_at":"2026-07-05T05:32:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.02801/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The motion of a colloidal probe in a viscoelastic fluid is described by friction or mobility, depending on whether the probe is moving with a velocity or feeling a force. While the Einstein relation describes an inverse relationship valid for Newtonian solvents, both concepts are generalized to time-dependent memory kernels in viscoelastic fluids. We theoretically and experimentally investigate their relation by considering two observables: the recoil after releasing a probe that was moved through the fluid and the equilibrium mean squared displacement (MSD). Applying concepts of linear respon","authors_text":"Clemens Bechinger, F\\'elix Ginot, Juliana Caspers, Karthika Krishna Kumar, Matthias Fuchs, Matthias Kr\\\"uger, Nikolas Ditz","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2022-10-06T10:24:24Z","title":"How are mobility and friction related in viscoelastic fluids?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.02801","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:ea2319a81d756806eccf40b7d19ec85d6ef7a35de5be4de3451c1235541318af","target":"record","created_at":"2026-07-05T05:32:48Z","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":"bba23d1e264dbd66df1b4816887769c00c6e813c44ce6f9a22805c355401e1ff","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2022-10-06T10:24:24Z","title_canon_sha256":"c072c9480b5451f0b4ed0df8342e340edf07d005a7bf8426f44c708f673687f7"},"schema_version":"1.0","source":{"id":"2210.02801","kind":"arxiv","version":1}},"canonical_sha256":"0d50ade4ef92008a604baf487bbc556b615a0fa514b1985e33f2d479ac4ab432","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d50ade4ef92008a604baf487bbc556b615a0fa514b1985e33f2d479ac4ab432","first_computed_at":"2026-07-05T05:32:48.617252Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:32:48.617252Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DLuOJdN167rrRkOnWZqc9RsvQ7bNuxNjJcTzjh8YVv6fFZAwVGMEWVjavgnUNZbbCYvPdKnmFpO+ChsQLftgCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:32:48.617726Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.02801","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea2319a81d756806eccf40b7d19ec85d6ef7a35de5be4de3451c1235541318af","sha256:243a1b19b751af8c5974fcfa5ce139679b71c10ad9ffd95d84bee008ebd94102"],"state_sha256":"26ad8c1ee46df97112b2313e03d6fc4505952c6b3f8e458f62e87cd62f0d3d64"}