{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:66DSX2MP6QPT5VGQDO5AJ7JASI","short_pith_number":"pith:66DSX2MP","canonical_record":{"source":{"id":"0911.1632","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-11-09T11:06:06Z","cross_cats_sorted":[],"title_canon_sha256":"8dae1a3e8a9e3e295ca008421672f89423cabb3c0f2a0fc3fde367f30c85cf05","abstract_canon_sha256":"f1e9e543cae7e79277b40693cf9ec18932e8c34f7473dbf03f16bb6371091c2d"},"schema_version":"1.0"},"canonical_sha256":"f7872be98ff41f3ed4d01bba04fd20921c119d792f47c9c4dd507194e6c2d25e","source":{"kind":"arxiv","id":"0911.1632","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1632","created_at":"2026-07-04T16:40:40Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1632v1","created_at":"2026-07-04T16:40:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1632","created_at":"2026-07-04T16:40:40Z"},{"alias_kind":"pith_short_12","alias_value":"66DSX2MP6QPT","created_at":"2026-07-04T16:40:40Z"},{"alias_kind":"pith_short_16","alias_value":"66DSX2MP6QPT5VGQ","created_at":"2026-07-04T16:40:40Z"},{"alias_kind":"pith_short_8","alias_value":"66DSX2MP","created_at":"2026-07-04T16:40:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:66DSX2MP6QPT5VGQDO5AJ7JASI","target":"record","payload":{"canonical_record":{"source":{"id":"0911.1632","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-11-09T11:06:06Z","cross_cats_sorted":[],"title_canon_sha256":"8dae1a3e8a9e3e295ca008421672f89423cabb3c0f2a0fc3fde367f30c85cf05","abstract_canon_sha256":"f1e9e543cae7e79277b40693cf9ec18932e8c34f7473dbf03f16bb6371091c2d"},"schema_version":"1.0"},"canonical_sha256":"f7872be98ff41f3ed4d01bba04fd20921c119d792f47c9c4dd507194e6c2d25e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:40:40.227500Z","signature_b64":"1ddLyOtNMxLMslWFFhGZ3GZ49dvuOcoeoEwnOLkWtbDoGN7lvMBTKLFfzMkiPJsh/TCYzoLR2fwMGylO2kEpAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7872be98ff41f3ed4d01bba04fd20921c119d792f47c9c4dd507194e6c2d25e","last_reissued_at":"2026-07-04T16:40:40.227132Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:40:40.227132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.1632","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:40:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RT4uzj0jKR4iCpAINH3LXkX8Gkn3m6yKgqIsgWUDNI8XlFqH0llJfxuHYjJptUNXL5i1tGkkAkEc0Y6v6ZLnCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T23:09:27.200275Z"},"content_sha256":"52cf6aedb124ca416b408362370db8c4d129d80d061d282ae0faaab51fffb4d9","schema_version":"1.0","event_id":"sha256:52cf6aedb124ca416b408362370db8c4d129d80d061d282ae0faaab51fffb4d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:66DSX2MP6QPT5VGQDO5AJ7JASI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Equilibrium relation between mobility and diffusivity of interacting Brownian particles under shear","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Matthias Fuchs, Matthias Kr\\\"uger","submitted_at":"2009-11-09T11:06:06Z","abstract_excerpt":"We investigate the relation between mobility and diffusivity for Brownian particles under steady shear near the glass transition, using mode coupling approximations. For the two directions perpendicular to the shear direction, the particle motion is diffusive at long times and the mobility reaches a finite constant. Nevertheless, the Einstein relation holds only for the short-time in-cage motion and is violated for long times. In order to get the relation between diffusivity and mobility, we perform the limit of small wavevector for the relations derived previously [Phys. Rev. Lett. 102 (2009)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1632","kind":"arxiv","version":1},"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/0911.1632/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":"2026-07-04T16:40:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dA5tcqTYML8Y5FUE/9Gg4uk0YxpmhsH2ZATArdL2VxdDBGRnESgkEc81pePruw5xbgWIUZaBmISz+Jla7WPkCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T23:09:27.200668Z"},"content_sha256":"e8eba97d365d998c93d8853c46e9f454df42e43ccf86b2f6376b227ae28be686","schema_version":"1.0","event_id":"sha256:e8eba97d365d998c93d8853c46e9f454df42e43ccf86b2f6376b227ae28be686"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/66DSX2MP6QPT5VGQDO5AJ7JASI/bundle.json","state_url":"https://pith.science/pith/66DSX2MP6QPT5VGQDO5AJ7JASI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/66DSX2MP6QPT5VGQDO5AJ7JASI/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":"2026-08-07T23:09:27Z","links":{"resolver":"https://pith.science/pith/66DSX2MP6QPT5VGQDO5AJ7JASI","bundle":"https://pith.science/pith/66DSX2MP6QPT5VGQDO5AJ7JASI/bundle.json","state":"https://pith.science/pith/66DSX2MP6QPT5VGQDO5AJ7JASI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/66DSX2MP6QPT5VGQDO5AJ7JASI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:66DSX2MP6QPT5VGQDO5AJ7JASI","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":"f1e9e543cae7e79277b40693cf9ec18932e8c34f7473dbf03f16bb6371091c2d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-11-09T11:06:06Z","title_canon_sha256":"8dae1a3e8a9e3e295ca008421672f89423cabb3c0f2a0fc3fde367f30c85cf05"},"schema_version":"1.0","source":{"id":"0911.1632","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1632","created_at":"2026-07-04T16:40:40Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1632v1","created_at":"2026-07-04T16:40:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1632","created_at":"2026-07-04T16:40:40Z"},{"alias_kind":"pith_short_12","alias_value":"66DSX2MP6QPT","created_at":"2026-07-04T16:40:40Z"},{"alias_kind":"pith_short_16","alias_value":"66DSX2MP6QPT5VGQ","created_at":"2026-07-04T16:40:40Z"},{"alias_kind":"pith_short_8","alias_value":"66DSX2MP","created_at":"2026-07-04T16:40:40Z"}],"graph_snapshots":[{"event_id":"sha256:e8eba97d365d998c93d8853c46e9f454df42e43ccf86b2f6376b227ae28be686","target":"graph","created_at":"2026-07-04T16:40:40Z","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/0911.1632/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the relation between mobility and diffusivity for Brownian particles under steady shear near the glass transition, using mode coupling approximations. For the two directions perpendicular to the shear direction, the particle motion is diffusive at long times and the mobility reaches a finite constant. Nevertheless, the Einstein relation holds only for the short-time in-cage motion and is violated for long times. In order to get the relation between diffusivity and mobility, we perform the limit of small wavevector for the relations derived previously [Phys. Rev. Lett. 102 (2009)","authors_text":"Matthias Fuchs, Matthias Kr\\\"uger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-11-09T11:06:06Z","title":"Non-Equilibrium relation between mobility and diffusivity of interacting Brownian particles under shear"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1632","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":"sha256:52cf6aedb124ca416b408362370db8c4d129d80d061d282ae0faaab51fffb4d9","target":"record","created_at":"2026-07-04T16:40:40Z","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":"f1e9e543cae7e79277b40693cf9ec18932e8c34f7473dbf03f16bb6371091c2d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2009-11-09T11:06:06Z","title_canon_sha256":"8dae1a3e8a9e3e295ca008421672f89423cabb3c0f2a0fc3fde367f30c85cf05"},"schema_version":"1.0","source":{"id":"0911.1632","kind":"arxiv","version":1}},"canonical_sha256":"f7872be98ff41f3ed4d01bba04fd20921c119d792f47c9c4dd507194e6c2d25e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7872be98ff41f3ed4d01bba04fd20921c119d792f47c9c4dd507194e6c2d25e","first_computed_at":"2026-07-04T16:40:40.227132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:40:40.227132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1ddLyOtNMxLMslWFFhGZ3GZ49dvuOcoeoEwnOLkWtbDoGN7lvMBTKLFfzMkiPJsh/TCYzoLR2fwMGylO2kEpAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:40:40.227500Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.1632","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52cf6aedb124ca416b408362370db8c4d129d80d061d282ae0faaab51fffb4d9","sha256:e8eba97d365d998c93d8853c46e9f454df42e43ccf86b2f6376b227ae28be686"],"state_sha256":"68b881758ac09624d6bfdbc1bd67fc7484c169a566c90cf04819b370d9bd520b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gkMs8pQ/UPV/5lBciCCIbboMFTiC+kwGXvdxnvfu9lbv4vmP/gZNphnRpZF8KFECHDKEe1i96hEKQRvkmJk1DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T23:09:27.203395Z","bundle_sha256":"d9c00b53620f75ff0559944811b74d3df9eaf329eda520069b4123184c82a661"}}