{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7425WFRWJJZC3SEBRFT53MDGNS","short_pith_number":"pith:7425WFRW","canonical_record":{"source":{"id":"1304.2230","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-04-08T15:06:48Z","cross_cats_sorted":[],"title_canon_sha256":"5f79969492980439ad69cbb0e292feca5fcf0c7250cf54007f4b4283bfca68bb","abstract_canon_sha256":"5450d048f989cf75efe26730683ce33224e83f277c7518bdfa1ea65fa191c575"},"schema_version":"1.0"},"canonical_sha256":"ff35db16364a722dc8818967ddb0666c88faa56ed1aa372a31735a62ec2b363a","source":{"kind":"arxiv","id":"1304.2230","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.2230","created_at":"2026-05-18T01:50:41Z"},{"alias_kind":"arxiv_version","alias_value":"1304.2230v1","created_at":"2026-05-18T01:50:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2230","created_at":"2026-05-18T01:50:41Z"},{"alias_kind":"pith_short_12","alias_value":"7425WFRWJJZC","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7425WFRWJJZC3SEB","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7425WFRW","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7425WFRWJJZC3SEBRFT53MDGNS","target":"record","payload":{"canonical_record":{"source":{"id":"1304.2230","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-04-08T15:06:48Z","cross_cats_sorted":[],"title_canon_sha256":"5f79969492980439ad69cbb0e292feca5fcf0c7250cf54007f4b4283bfca68bb","abstract_canon_sha256":"5450d048f989cf75efe26730683ce33224e83f277c7518bdfa1ea65fa191c575"},"schema_version":"1.0"},"canonical_sha256":"ff35db16364a722dc8818967ddb0666c88faa56ed1aa372a31735a62ec2b363a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:41.589936Z","signature_b64":"pcb8m5AXFDKLqVxMa0QGzrE/iLzCzvY4JTN4tasD9C5KvDyzRV60pVY104GKGG4NY/UdMIPXEd+f5FiLjvPrCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff35db16364a722dc8818967ddb0666c88faa56ed1aa372a31735a62ec2b363a","last_reissued_at":"2026-05-18T01:50:41.589455Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:41.589455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.2230","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":"2026-05-18T01:50:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"naFJrcofK/nBjQ3GMkfrMDyehTllsX8TRDYhWs7tZqOc79kDJMMGJSbVm3hnn7Jb4fdMIHCh6l6jQR9sSnieDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T13:18:54.128841Z"},"content_sha256":"8eee6e1afd7789987ffc968c18b74b1c045f24f35ef3ade38d550559d0ce34e6","schema_version":"1.0","event_id":"sha256:8eee6e1afd7789987ffc968c18b74b1c045f24f35ef3ade38d550559d0ce34e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7425WFRWJJZC3SEBRFT53MDGNS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fluctuations and correlations of a driven tracer in a hard-core lattice gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"G. Oshanin, O. B\\'enichou, P. Illien, R. Voituriez","submitted_at":"2013-04-08T15:06:48Z","abstract_excerpt":"We consider a driven tracer particle (TP) in a bath of hard-core particles undergoing continuous exchanges with a reservoir. We develop an analytical framework which allows us to go beyond the standard force-velocity relation used for this minimal model of active microrheology and quantitatively analyze, for any density of the bath particles, the fluctuations of the TP position and their correlations with the occupation number of the bath particles. We obtain an exact Einstein-type relation which links these fluctuations in the absence of a driving force and the bath particles density profiles"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2230","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":""},"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":"2026-05-18T01:50:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ybWx4wKBLxoMUkUtiGnabqEucHdal2ghpjaeOAQvXZ9qldzDb4pruUrC9drIay1RClqsce7HOmDL+jr5UZ0LAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T13:18:54.129178Z"},"content_sha256":"d72b47c289f2e31a65299c1eb22638ae8e55fd16720767a20ef023162f4514b6","schema_version":"1.0","event_id":"sha256:d72b47c289f2e31a65299c1eb22638ae8e55fd16720767a20ef023162f4514b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7425WFRWJJZC3SEBRFT53MDGNS/bundle.json","state_url":"https://pith.science/pith/7425WFRWJJZC3SEBRFT53MDGNS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7425WFRWJJZC3SEBRFT53MDGNS/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":"2026-06-05T13:18:54Z","links":{"resolver":"https://pith.science/pith/7425WFRWJJZC3SEBRFT53MDGNS","bundle":"https://pith.science/pith/7425WFRWJJZC3SEBRFT53MDGNS/bundle.json","state":"https://pith.science/pith/7425WFRWJJZC3SEBRFT53MDGNS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7425WFRWJJZC3SEBRFT53MDGNS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7425WFRWJJZC3SEBRFT53MDGNS","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":"5450d048f989cf75efe26730683ce33224e83f277c7518bdfa1ea65fa191c575","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-04-08T15:06:48Z","title_canon_sha256":"5f79969492980439ad69cbb0e292feca5fcf0c7250cf54007f4b4283bfca68bb"},"schema_version":"1.0","source":{"id":"1304.2230","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.2230","created_at":"2026-05-18T01:50:41Z"},{"alias_kind":"arxiv_version","alias_value":"1304.2230v1","created_at":"2026-05-18T01:50:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2230","created_at":"2026-05-18T01:50:41Z"},{"alias_kind":"pith_short_12","alias_value":"7425WFRWJJZC","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7425WFRWJJZC3SEB","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7425WFRW","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:d72b47c289f2e31a65299c1eb22638ae8e55fd16720767a20ef023162f4514b6","target":"graph","created_at":"2026-05-18T01:50:41Z","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":"We consider a driven tracer particle (TP) in a bath of hard-core particles undergoing continuous exchanges with a reservoir. We develop an analytical framework which allows us to go beyond the standard force-velocity relation used for this minimal model of active microrheology and quantitatively analyze, for any density of the bath particles, the fluctuations of the TP position and their correlations with the occupation number of the bath particles. We obtain an exact Einstein-type relation which links these fluctuations in the absence of a driving force and the bath particles density profiles","authors_text":"G. Oshanin, O. B\\'enichou, P. Illien, R. Voituriez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-04-08T15:06:48Z","title":"Fluctuations and correlations of a driven tracer in a hard-core lattice gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2230","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":"sha256:8eee6e1afd7789987ffc968c18b74b1c045f24f35ef3ade38d550559d0ce34e6","target":"record","created_at":"2026-05-18T01:50:41Z","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":"5450d048f989cf75efe26730683ce33224e83f277c7518bdfa1ea65fa191c575","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-04-08T15:06:48Z","title_canon_sha256":"5f79969492980439ad69cbb0e292feca5fcf0c7250cf54007f4b4283bfca68bb"},"schema_version":"1.0","source":{"id":"1304.2230","kind":"arxiv","version":1}},"canonical_sha256":"ff35db16364a722dc8818967ddb0666c88faa56ed1aa372a31735a62ec2b363a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff35db16364a722dc8818967ddb0666c88faa56ed1aa372a31735a62ec2b363a","first_computed_at":"2026-05-18T01:50:41.589455Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:41.589455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pcb8m5AXFDKLqVxMa0QGzrE/iLzCzvY4JTN4tasD9C5KvDyzRV60pVY104GKGG4NY/UdMIPXEd+f5FiLjvPrCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:41.589936Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.2230","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8eee6e1afd7789987ffc968c18b74b1c045f24f35ef3ade38d550559d0ce34e6","sha256:d72b47c289f2e31a65299c1eb22638ae8e55fd16720767a20ef023162f4514b6"],"state_sha256":"226338126e967967eb496784f1bde9b180b13cf08dc3b32aebcccd948523955f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P/hapa+GhFHt9Ernedag6xfkpdMn0zehiazWlYMO2WuvltHEdq6LTHRpyoNO/Ne+WazjX5y5sdS/k64vBcOqBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T13:18:54.131141Z","bundle_sha256":"2e664d69ae1d710fd9d680e45965dfe224821941f4e848eaa07376c81bc0c632"}}