{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MSLCWVAQ4OOC7LMTQONLU2CJDE","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":"fd6cf095109a2147aab03cd04c5526a2f6f207f7c061a6ecb05d8337dc080e0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-15T17:56:47Z","title_canon_sha256":"daa1e7be55aa5bde0b14a4ea0679e37f4c47f2c07617e9c68ffe0584c05a7236"},"schema_version":"1.0","source":{"id":"2605.16252","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.16252","created_at":"2026-05-20T00:02:00Z"},{"alias_kind":"arxiv_version","alias_value":"2605.16252v1","created_at":"2026-05-20T00:02:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.16252","created_at":"2026-05-20T00:02:00Z"},{"alias_kind":"pith_short_12","alias_value":"MSLCWVAQ4OOC","created_at":"2026-05-20T00:02:00Z"},{"alias_kind":"pith_short_16","alias_value":"MSLCWVAQ4OOC7LMT","created_at":"2026-05-20T00:02:00Z"},{"alias_kind":"pith_short_8","alias_value":"MSLCWVAQ","created_at":"2026-05-20T00:02:00Z"}],"graph_snapshots":[{"event_id":"sha256:822cd99386ecea04ac5002d7b062760aac63baeda627047aa00a9bfaa14723d1","target":"graph","created_at":"2026-05-20T00:02:00Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"the non-Markovian hydrodynamic thermal noise establishes a distinct velocity fractal dimension of dv = 7/4"},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"That the highly resolved measurements of Brownian microspheres in liquids accurately capture the initial scaling of the velocity autocorrelation function without significant experimental artifacts or post-selection effects."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Brownian velocity fluctuations in liquids have fractal dimension 7/4 due to non-Markovian hydrodynamic thermal noise, establishing a new non-equilibrium universality class."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Fluid memory effects redefine the fractal dimension of Brownian velocity fluctuations to 7/4."}],"snapshot_sha256":"2b4a66948cb6eb4629803a97b75824e6ce5d1ab3fda783f3ecb7d06f41054140"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"cd49bcb75e9e0c867bd6ae087f56e8e9e27fc61385df9845ac9ae381df3e085f"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"doi_title_agreement","ran_at":"2026-05-19T18:31:18.699564Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-19T18:30:46.994797Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"shingle_duplication","ran_at":"2026-05-19T17:49:42.174098Z","status":"skipped","version":"0.1.0"},{"findings_count":0,"name":"citation_quote_validity","ran_at":"2026-05-19T17:49:41.786335Z","status":"skipped","version":"0.1.0"},{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T17:33:23.080629Z","status":"skipped","version":"1.0.0"},{"findings_count":0,"name":"external_links","ran_at":"2026-05-19T17:31:23.935443Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T17:01:55.595744Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"cited_work_retraction","ran_at":"2026-05-19T16:51:56.264496Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2605.16252/integrity.json","findings":[],"snapshot_sha256":"593a8027e0a16a7efbbe7bdad9dc208356e8fcd2c691a889ea26121fd20a284b","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The classical Einstein-Langevin theory of Brownian motion assumes a memoryless thermal bath, establishing a universal fractal dimension of $d_v = 3/2$ for the velocity fluctuations of a particle. In this Letter, we demonstrate experimentally and theoretically that fluid-inertial memory effects fundamentally redefine the fractal scaling of these fluctuations. In analyzing highly resolved measurements of Brownian microspheres in liquids, we show that the non-Markovian hydrodynamic thermal noise establishes a distinct velocity fractal dimension of $d_v = 7/4$. Coupled with theoretical analysis of","authors_text":"Giuseppe Procopio, Jason Boynewicz, Mark G. Raizen, Massimiliano Giona, Michael C. Thumann","cross_cats":[],"headline":"Fluid memory effects redefine the fractal dimension of Brownian velocity fluctuations to 7/4.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-15T17:56:47Z","title":"The fractal dimension of Brownian dynamics in liquids"},"references":{"count":52,"internal_anchors":1,"resolved_work":52,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"In the Einstein-Langevin approach, the dynamics are Markovian and the particle’s velocity is a stochastic pro- cess possessing the fractal dimension dv = 3 / 2","work_id":"159be7e5-ee35-457d-9d47-af31458773a8","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"fails to interpret some relevant features of Brownian dynamics in liquid, such as the scaling of the velocity autocorrelation func- tion. In Newtonian liquids, such as water or acetone at room tempera","work_id":"35521d6a-a8e0-4f2b-89d4-7f22222a0bc5","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Moreover, it follows from eq","work_id":"ec610365-e89c-4a07-b390-d506da55de05","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"that the Basset kernel displays a singularity at τ = 0. This singularity is the conse- quence of another paradox of inﬁnite velocity of propa- gation [16], speciﬁcally that of the shear stresses, that","work_id":"466b1012-4b8e-4b67-97d9-26a8f468517e","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"Boynewicz et al","work_id":"118e9e22-2472-443d-90b7-33da8c57d93c","year":null}],"snapshot_sha256":"36abc101233a1a7a00dfed5c6a27121069a747f55265ee907522fde923603eb8"},"source":{"id":"2605.16252","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-19T18:25:44.069487Z","id":"29219584-6d5b-4387-931f-9a5ce6740364","model_set":{"reader":"grok-4.3"},"one_line_summary":"Brownian velocity fluctuations in liquids have fractal dimension 7/4 due to non-Markovian hydrodynamic thermal noise, establishing a new non-equilibrium universality class.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Fluid memory effects redefine the fractal dimension of Brownian velocity fluctuations to 7/4.","strongest_claim":"the non-Markovian hydrodynamic thermal noise establishes a distinct velocity fractal dimension of dv = 7/4","weakest_assumption":"That the highly resolved measurements of Brownian microspheres in liquids accurately capture the initial scaling of the velocity autocorrelation function without significant experimental artifacts or post-selection effects."}},"verdict_id":"29219584-6d5b-4387-931f-9a5ce6740364"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:eef9208439c5e65edc3ea7cc892c7946d148fdca236ed27826ecfc9d5dbc57a0","target":"record","created_at":"2026-05-20T00:02:00Z","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":"fd6cf095109a2147aab03cd04c5526a2f6f207f7c061a6ecb05d8337dc080e0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-15T17:56:47Z","title_canon_sha256":"daa1e7be55aa5bde0b14a4ea0679e37f4c47f2c07617e9c68ffe0584c05a7236"},"schema_version":"1.0","source":{"id":"2605.16252","kind":"arxiv","version":1}},"canonical_sha256":"64962b5410e39c2fad93839aba6849193ec200fb3923a02f30797bd9aef4d0e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64962b5410e39c2fad93839aba6849193ec200fb3923a02f30797bd9aef4d0e0","first_computed_at":"2026-05-20T00:02:00.217193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:02:00.217193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RIOQDpaQ52CAHT5mj70qo4Ythxn9fTVl0y/8xaebuvaxPNK8IBF7F/C2K4SAs2+YQ41i7lgDg35xt5pljuBvAQ==","signature_status":"signed_v1","signed_at":"2026-05-20T00:02:00.218036Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.16252","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eef9208439c5e65edc3ea7cc892c7946d148fdca236ed27826ecfc9d5dbc57a0","sha256:822cd99386ecea04ac5002d7b062760aac63baeda627047aa00a9bfaa14723d1"],"state_sha256":"a83a1b499eb909ca08f5e405126d7cbdd0edcc2faa42c1a66832a788ea3fef9b"}