{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:GQGBMSL2FK7TCAXGZRYSN65LAZ","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":"51a509ff2887946f8476829ce81ab460695a7e0e7e2d59c254cf1f15826fee06","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-07-02T10:55:31Z","title_canon_sha256":"40f89aacb59144a188e058819941d9f5065817a1cc7cdaf9096801b570cbac2f"},"schema_version":"1.0","source":{"id":"1007.0337","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.0337","created_at":"2026-05-18T04:39:38Z"},{"alias_kind":"arxiv_version","alias_value":"1007.0337v1","created_at":"2026-05-18T04:39:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.0337","created_at":"2026-05-18T04:39:38Z"},{"alias_kind":"pith_short_12","alias_value":"GQGBMSL2FK7T","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GQGBMSL2FK7TCAXG","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GQGBMSL2","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:c9214d8d17a6fc8d509d6f57cbad180c715beae060e428f3f197bf1c147813a9","target":"graph","created_at":"2026-05-18T04:39:38Z","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"},"paper":{"abstract_excerpt":"Active dumbbell suspensions constitute one of the simplest model system for collective swimming at low Reynolds number. Generalizing recent work, we derive and analyze stroke-averaged equations of motion that capture the effective hydrodynamic far-field interaction between two oscillating, asymmetric dumbbells in three space dimensions. Time-averaged equations of motion, as those presented in this paper, not only yield a considerable speed-up in numerical simulations, they may also serve as a starting point when deriving continuum equations for the macroscopic dynamics of multi-swimmer suspens","authors_text":"J\\\"orn Dunkel, Victor B. Putz","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-07-02T10:55:31Z","title":"Low Reynolds number hydrodynamics of asymmetric, oscillating dumbbell pairs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.0337","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:ea760abb32dc512a8d6a5689f5ff2d592b9717fcda04abb9781f38e98dda4f47","target":"record","created_at":"2026-05-18T04:39:38Z","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":"51a509ff2887946f8476829ce81ab460695a7e0e7e2d59c254cf1f15826fee06","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-07-02T10:55:31Z","title_canon_sha256":"40f89aacb59144a188e058819941d9f5065817a1cc7cdaf9096801b570cbac2f"},"schema_version":"1.0","source":{"id":"1007.0337","kind":"arxiv","version":1}},"canonical_sha256":"340c16497a2abf3102e6cc7126fbab065c623eccfccaf41ccd60f9355c8b14b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"340c16497a2abf3102e6cc7126fbab065c623eccfccaf41ccd60f9355c8b14b0","first_computed_at":"2026-05-18T04:39:38.725981Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:38.725981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6p4UHGqC4cIybPrVb3PoK/18bYARzQRr8AIWQ92dm5HxAz47zrGKeq9AbIvkZ6OkNx8xUyPEikR9tsJN1I4pDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:38.726478Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.0337","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea760abb32dc512a8d6a5689f5ff2d592b9717fcda04abb9781f38e98dda4f47","sha256:c9214d8d17a6fc8d509d6f57cbad180c715beae060e428f3f197bf1c147813a9"],"state_sha256":"f73d4366a263425a305dfb8583853a9b2d566e107686316945c6b5ee24d45d02"}