{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:6OSUWPYXBEI3GBOG4VJ2XKLM7C","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":"e37f9d618b6a6fb67d791356751b3a66295762bb9ba1d0fa7efa6b9f2470bd4f","cross_cats_sorted":["cond-mat.stat-mech","physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-06-24T18:00:04Z","title_canon_sha256":"fa1a2aec5c656aa7af554749045a750768d7965a14723896d1951416c3653601"},"schema_version":"1.0","source":{"id":"2606.26238","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.26238","created_at":"2026-06-26T00:15:30Z"},{"alias_kind":"arxiv_version","alias_value":"2606.26238v1","created_at":"2026-06-26T00:15:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.26238","created_at":"2026-06-26T00:15:30Z"},{"alias_kind":"pith_short_12","alias_value":"6OSUWPYXBEI3","created_at":"2026-06-26T00:15:30Z"},{"alias_kind":"pith_short_16","alias_value":"6OSUWPYXBEI3GBOG","created_at":"2026-06-26T00:15:30Z"},{"alias_kind":"pith_short_8","alias_value":"6OSUWPYX","created_at":"2026-06-26T00:15:30Z"}],"graph_snapshots":[{"event_id":"sha256:d5697d6000da3fdfe8123dcaa2a21d09ffbd8d0904aeef96a5342857f2aa1598","target":"graph","created_at":"2026-06-26T00:15:30Z","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/2606.26238/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Odd diffusion is a hallmark of chiral active matter, generating currents transverse to density gradients. Existing theories rely on a linear antisymmetric transport coefficient that exists only in two dimensions, raising the question of whether odd diffusion can occur in isotropic three-dimensional systems. Here we show that such transport is possible through a nonlinear constitutive law. Symmetry considerations reveal that the three-dimensional Levi-Civita tensor permits a leading order isotropic odd current at second order in the density gradient expansion and only in multicomponent systems.","authors_text":"Andres Franco Valiente, David T. Limmer, Viola Zixin Zhao","cross_cats":["cond-mat.stat-mech","physics.flu-dyn"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-06-24T18:00:04Z","title":"Odd Diffusion in Three-Dimensional Isotropic Media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.26238","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:b2fc944f766cfa6271a22438e1a7215022247e1c129b0354051726b58fd6a9f6","target":"record","created_at":"2026-06-26T00:15:30Z","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":"e37f9d618b6a6fb67d791356751b3a66295762bb9ba1d0fa7efa6b9f2470bd4f","cross_cats_sorted":["cond-mat.stat-mech","physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-06-24T18:00:04Z","title_canon_sha256":"fa1a2aec5c656aa7af554749045a750768d7965a14723896d1951416c3653601"},"schema_version":"1.0","source":{"id":"2606.26238","kind":"arxiv","version":1}},"canonical_sha256":"f3a54b3f170911b305c6e553aba96cf8ae42cbee4e393b17ee3c045759e2b5be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3a54b3f170911b305c6e553aba96cf8ae42cbee4e393b17ee3c045759e2b5be","first_computed_at":"2026-06-26T00:15:30.769434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-26T00:15:30.769434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fDViuETmSFkGzcbtPa8gUPIdLDeuWFWvDfghlqoi5ny04Jqjv3B/fIeCcZ/cQGPX77NNUal44/jRfmUOpc8IAQ==","signature_status":"signed_v1","signed_at":"2026-06-26T00:15:30.769927Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.26238","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2fc944f766cfa6271a22438e1a7215022247e1c129b0354051726b58fd6a9f6","sha256:d5697d6000da3fdfe8123dcaa2a21d09ffbd8d0904aeef96a5342857f2aa1598"],"state_sha256":"ac5b37f35007636c008e3883153bf7190bb99172f66af39f3af96d1372f23ff5"}