{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:3OSEYT4SHAZ5IE7Y5WL5VO7DWU","short_pith_number":"pith:3OSEYT4S","canonical_record":{"source":{"id":"0901.1831","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-13T17:08:12Z","cross_cats_sorted":[],"title_canon_sha256":"0edf1f833516452b94608df870b4a4e44c3b4a95b78f09d1d21a4aa50f58c341","abstract_canon_sha256":"0dd7de6d0d1ab3613aaf654fd7fc0547b7f13733111a8fcf3e70c73716e7057e"},"schema_version":"1.0"},"canonical_sha256":"dba44c4f923833d413f8ed97dabbe3b5269bf41d18f051fad182a1697d54018f","source":{"kind":"arxiv","id":"0901.1831","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.1831","created_at":"2026-05-18T02:15:02Z"},{"alias_kind":"arxiv_version","alias_value":"0901.1831v2","created_at":"2026-05-18T02:15:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.1831","created_at":"2026-05-18T02:15:02Z"},{"alias_kind":"pith_short_12","alias_value":"3OSEYT4SHAZ5","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3OSEYT4SHAZ5IE7Y","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3OSEYT4S","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:3OSEYT4SHAZ5IE7Y5WL5VO7DWU","target":"record","payload":{"canonical_record":{"source":{"id":"0901.1831","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-13T17:08:12Z","cross_cats_sorted":[],"title_canon_sha256":"0edf1f833516452b94608df870b4a4e44c3b4a95b78f09d1d21a4aa50f58c341","abstract_canon_sha256":"0dd7de6d0d1ab3613aaf654fd7fc0547b7f13733111a8fcf3e70c73716e7057e"},"schema_version":"1.0"},"canonical_sha256":"dba44c4f923833d413f8ed97dabbe3b5269bf41d18f051fad182a1697d54018f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:02.481987Z","signature_b64":"Am/9qZRilWPzwQ3EOszVctnn0pJw6hlIsgy21DKuRX3UyfXugPHduk/WFaYrSqXM3mVBlFoGx44rdLYxgWMyCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dba44c4f923833d413f8ed97dabbe3b5269bf41d18f051fad182a1697d54018f","last_reissued_at":"2026-05-18T02:15:02.481540Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:02.481540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.1831","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:15:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gBqMVC7LRchEtdabrt+OengHONyVPKUcjt9+5Xh8SS+ll4aX7IrPmhXy/9MZJKQLfg1YAmrK0Q1mNhbKeds0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T07:01:14.321578Z"},"content_sha256":"09c61a2cd68d1ab6bbd1acd4268750ee273fefada4c1bf7c72214f4dc57284cb","schema_version":"1.0","event_id":"sha256:09c61a2cd68d1ab6bbd1acd4268750ee273fefada4c1bf7c72214f4dc57284cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:3OSEYT4SHAZ5IE7Y5WL5VO7DWU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Aggregation of chemotactic organisms in a differential flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Javier Mu\\~noz-Garc\\'ia, Zolt\\'an Neufeld","submitted_at":"2009-01-13T17:08:12Z","abstract_excerpt":"We study the effect of advection on the aggregation and pattern formation in chemotactic systems described by Keller-Segel type models. The evolution of small perturbations is studied analytically in the linear regime complemented by numerical simulations. We show that a uniform differential flow can significantly alter the spatial structure and dynamics of the chemotactic system. The flow leads to the formation of anisotropic aggregates that move following the direction of the flow, even when the chemotactic organisms are not directly advected by the flow. Sufficiently strong advection can st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.1831","kind":"arxiv","version":2},"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":"2026-05-18T02:15:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9XLgpCcBXMoBrkEyp38JItG/f8nIvUdw05MzdmriAvD49ZKzf8wGItHoKbuEERAkJXJQQyy8w78nPwRaKun8Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T07:01:14.322246Z"},"content_sha256":"1997b0ff77127824488ab79de8ea91d80fb377d8877b1573d0a466a9d5cd43ef","schema_version":"1.0","event_id":"sha256:1997b0ff77127824488ab79de8ea91d80fb377d8877b1573d0a466a9d5cd43ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3OSEYT4SHAZ5IE7Y5WL5VO7DWU/bundle.json","state_url":"https://pith.science/pith/3OSEYT4SHAZ5IE7Y5WL5VO7DWU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3OSEYT4SHAZ5IE7Y5WL5VO7DWU/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":"2026-06-10T07:01:14Z","links":{"resolver":"https://pith.science/pith/3OSEYT4SHAZ5IE7Y5WL5VO7DWU","bundle":"https://pith.science/pith/3OSEYT4SHAZ5IE7Y5WL5VO7DWU/bundle.json","state":"https://pith.science/pith/3OSEYT4SHAZ5IE7Y5WL5VO7DWU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3OSEYT4SHAZ5IE7Y5WL5VO7DWU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:3OSEYT4SHAZ5IE7Y5WL5VO7DWU","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":"0dd7de6d0d1ab3613aaf654fd7fc0547b7f13733111a8fcf3e70c73716e7057e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-13T17:08:12Z","title_canon_sha256":"0edf1f833516452b94608df870b4a4e44c3b4a95b78f09d1d21a4aa50f58c341"},"schema_version":"1.0","source":{"id":"0901.1831","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.1831","created_at":"2026-05-18T02:15:02Z"},{"alias_kind":"arxiv_version","alias_value":"0901.1831v2","created_at":"2026-05-18T02:15:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.1831","created_at":"2026-05-18T02:15:02Z"},{"alias_kind":"pith_short_12","alias_value":"3OSEYT4SHAZ5","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3OSEYT4SHAZ5IE7Y","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3OSEYT4S","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:1997b0ff77127824488ab79de8ea91d80fb377d8877b1573d0a466a9d5cd43ef","target":"graph","created_at":"2026-05-18T02:15:02Z","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 study the effect of advection on the aggregation and pattern formation in chemotactic systems described by Keller-Segel type models. The evolution of small perturbations is studied analytically in the linear regime complemented by numerical simulations. We show that a uniform differential flow can significantly alter the spatial structure and dynamics of the chemotactic system. The flow leads to the formation of anisotropic aggregates that move following the direction of the flow, even when the chemotactic organisms are not directly advected by the flow. Sufficiently strong advection can st","authors_text":"Javier Mu\\~noz-Garc\\'ia, Zolt\\'an Neufeld","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-13T17:08:12Z","title":"Aggregation of chemotactic organisms in a differential flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.1831","kind":"arxiv","version":2},"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":"sha256:09c61a2cd68d1ab6bbd1acd4268750ee273fefada4c1bf7c72214f4dc57284cb","target":"record","created_at":"2026-05-18T02:15:02Z","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":"0dd7de6d0d1ab3613aaf654fd7fc0547b7f13733111a8fcf3e70c73716e7057e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-13T17:08:12Z","title_canon_sha256":"0edf1f833516452b94608df870b4a4e44c3b4a95b78f09d1d21a4aa50f58c341"},"schema_version":"1.0","source":{"id":"0901.1831","kind":"arxiv","version":2}},"canonical_sha256":"dba44c4f923833d413f8ed97dabbe3b5269bf41d18f051fad182a1697d54018f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dba44c4f923833d413f8ed97dabbe3b5269bf41d18f051fad182a1697d54018f","first_computed_at":"2026-05-18T02:15:02.481540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:02.481540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Am/9qZRilWPzwQ3EOszVctnn0pJw6hlIsgy21DKuRX3UyfXugPHduk/WFaYrSqXM3mVBlFoGx44rdLYxgWMyCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:02.481987Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.1831","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09c61a2cd68d1ab6bbd1acd4268750ee273fefada4c1bf7c72214f4dc57284cb","sha256:1997b0ff77127824488ab79de8ea91d80fb377d8877b1573d0a466a9d5cd43ef"],"state_sha256":"f198875f5e8c287aa2bba8668addffe74fc6fbc472d3ef2de312b2e2443c0450"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BjDOxybxygJABZFw4FWvPnExptvKMcWIm1N2obS8U3FtcW8S2UH0y2e4hgtfr3sLGwwN2h/P6Cg75r2yiwINCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T07:01:14.326200Z","bundle_sha256":"0333d5703d657985726e936d22e1cadd552d0cefe86284c1d160c08e1364fcc7"}}