{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:IIVLWCRT5BDMAQEIUYKAD43ARC","short_pith_number":"pith:IIVLWCRT","canonical_record":{"source":{"id":"1904.00804","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2019-03-28T19:28:35Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"d16440300cb86e8c9b981be433092f08f592551a2348175254a331dfd2d3b869","abstract_canon_sha256":"d2543375b8155fdf96cf84b58e4a635633aa2e1cebfc3100aee49374f43a70f3"},"schema_version":"1.0"},"canonical_sha256":"422abb0a33e846c04088a61401f36088b50284af04d72dfc27da1a4cd98e894d","source":{"kind":"arxiv","id":"1904.00804","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.00804","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"arxiv_version","alias_value":"1904.00804v1","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.00804","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"pith_short_12","alias_value":"IIVLWCRT5BDM","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"IIVLWCRT5BDMAQEI","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"IIVLWCRT","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:IIVLWCRT5BDMAQEIUYKAD43ARC","target":"record","payload":{"canonical_record":{"source":{"id":"1904.00804","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2019-03-28T19:28:35Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"d16440300cb86e8c9b981be433092f08f592551a2348175254a331dfd2d3b869","abstract_canon_sha256":"d2543375b8155fdf96cf84b58e4a635633aa2e1cebfc3100aee49374f43a70f3"},"schema_version":"1.0"},"canonical_sha256":"422abb0a33e846c04088a61401f36088b50284af04d72dfc27da1a4cd98e894d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:16.565632Z","signature_b64":"oeAjdU5OR4qdDqZa3oDKC8QB5jiGyzL79nKDQeW7HeZpHU8HHImmqcjk8FuptuPLe21F9IdHyCW2m+L3j8dyBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"422abb0a33e846c04088a61401f36088b50284af04d72dfc27da1a4cd98e894d","last_reissued_at":"2026-05-17T23:47:16.565270Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:16.565270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.00804","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":"2026-05-17T23:47:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VVN0sDOXnu/Tp00WIvuazYDSZxjMUrMVaGl3R5BqppBJTjHUb2OIche78/LliygrF4mkYSfuH3Wpx6gdKP/7AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:23:05.958061Z"},"content_sha256":"f674633e3c3c8e693632524af2dc463b6713c32cc0af299be099554219dfebfd","schema_version":"1.0","event_id":"sha256:f674633e3c3c8e693632524af2dc463b6713c32cc0af299be099554219dfebfd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:IIVLWCRT5BDMAQEIUYKAD43ARC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mode-coupling theory for the steady-state dynamics of active Brownian particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Grzegorz Szamel","submitted_at":"2019-03-28T19:28:35Z","abstract_excerpt":"We present a theory for the steady-state dynamics of a two-dimensional system of spherically symmetric active Brownian particles. The derivation of the theory consists of two steps. First, we integrate out the self-propulsions and obtain a many-particle evolution equation for the probability distribution of the particles' positions. Second, we use projection operator technique and a mode-coupling-like factorization approximation to derive an equation of motion for the density correlation function. The nonequilibrium character of the active system manifests itself through the presence of a stea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.00804","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":"2026-05-17T23:47:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OJPiNCNSREvnL0glL0MkK7mpBQ+JoT5vN/NNmyskNb8wlLIizHpFNZctJB80do4E1YFM1Vxpvo8FKwFiuV9YDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:23:05.958766Z"},"content_sha256":"abd4aed1c095f43e24a138cddf72366ce9631c3718e537aeb79d38ba68f8624c","schema_version":"1.0","event_id":"sha256:abd4aed1c095f43e24a138cddf72366ce9631c3718e537aeb79d38ba68f8624c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IIVLWCRT5BDMAQEIUYKAD43ARC/bundle.json","state_url":"https://pith.science/pith/IIVLWCRT5BDMAQEIUYKAD43ARC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IIVLWCRT5BDMAQEIUYKAD43ARC/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":"2026-05-26T23:23:05Z","links":{"resolver":"https://pith.science/pith/IIVLWCRT5BDMAQEIUYKAD43ARC","bundle":"https://pith.science/pith/IIVLWCRT5BDMAQEIUYKAD43ARC/bundle.json","state":"https://pith.science/pith/IIVLWCRT5BDMAQEIUYKAD43ARC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IIVLWCRT5BDMAQEIUYKAD43ARC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:IIVLWCRT5BDMAQEIUYKAD43ARC","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":"d2543375b8155fdf96cf84b58e4a635633aa2e1cebfc3100aee49374f43a70f3","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2019-03-28T19:28:35Z","title_canon_sha256":"d16440300cb86e8c9b981be433092f08f592551a2348175254a331dfd2d3b869"},"schema_version":"1.0","source":{"id":"1904.00804","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.00804","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"arxiv_version","alias_value":"1904.00804v1","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.00804","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"pith_short_12","alias_value":"IIVLWCRT5BDM","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"IIVLWCRT5BDMAQEI","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"IIVLWCRT","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:abd4aed1c095f43e24a138cddf72366ce9631c3718e537aeb79d38ba68f8624c","target":"graph","created_at":"2026-05-17T23:47:16Z","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 present a theory for the steady-state dynamics of a two-dimensional system of spherically symmetric active Brownian particles. The derivation of the theory consists of two steps. First, we integrate out the self-propulsions and obtain a many-particle evolution equation for the probability distribution of the particles' positions. Second, we use projection operator technique and a mode-coupling-like factorization approximation to derive an equation of motion for the density correlation function. The nonequilibrium character of the active system manifests itself through the presence of a stea","authors_text":"Grzegorz Szamel","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2019-03-28T19:28:35Z","title":"Mode-coupling theory for the steady-state dynamics of active Brownian particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.00804","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:f674633e3c3c8e693632524af2dc463b6713c32cc0af299be099554219dfebfd","target":"record","created_at":"2026-05-17T23:47:16Z","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":"d2543375b8155fdf96cf84b58e4a635633aa2e1cebfc3100aee49374f43a70f3","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2019-03-28T19:28:35Z","title_canon_sha256":"d16440300cb86e8c9b981be433092f08f592551a2348175254a331dfd2d3b869"},"schema_version":"1.0","source":{"id":"1904.00804","kind":"arxiv","version":1}},"canonical_sha256":"422abb0a33e846c04088a61401f36088b50284af04d72dfc27da1a4cd98e894d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"422abb0a33e846c04088a61401f36088b50284af04d72dfc27da1a4cd98e894d","first_computed_at":"2026-05-17T23:47:16.565270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:16.565270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oeAjdU5OR4qdDqZa3oDKC8QB5jiGyzL79nKDQeW7HeZpHU8HHImmqcjk8FuptuPLe21F9IdHyCW2m+L3j8dyBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:16.565632Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.00804","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f674633e3c3c8e693632524af2dc463b6713c32cc0af299be099554219dfebfd","sha256:abd4aed1c095f43e24a138cddf72366ce9631c3718e537aeb79d38ba68f8624c"],"state_sha256":"4ff5833995611d27a60a63c01dc26c2a23e7086feaaa19e3195696e8b256dca7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZPBQLPSoHzu4uByQMe2TDWx5AvxOdZSJ/cftYEdSakYS/UY2QPwRfwL3lT6oxDfZW6TzqH580TfiKtwQB2R6DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T23:23:05.962325Z","bundle_sha256":"85c427a50448e02f8c90972394755588748332abf641388b25b748796d100e16"}}