{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:2QSDBXMAIMINI4MZPJTMFREIH5","short_pith_number":"pith:2QSDBXMA","schema_version":"1.0","canonical_sha256":"d42430dd804310d471997a66c2c4883f70e093b39570ce12486ef8fe908c54a2","source":{"kind":"arxiv","id":"1001.3334","version":2},"attestation_state":"computed","paper":{"title":"Fluctuations and Pattern Formation in Self-Propelled Particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","q-bio.QM"],"primary_cat":"cond-mat.stat-mech","authors_text":"Aparna Baskaran, M. Cristina Marchetti, Shradha Mishra","submitted_at":"2010-01-19T15:41:33Z","abstract_excerpt":"We consider a coarse-grained description of a system of self-propelled particles given by hydrodynamic equations for the density and polarization fields. We find that the ordered moving or flocking state of the system is unstable to spatial fluctuations beyond a threshold set by the self-propulsion velocity of the individual units. In this region, the system organizes itself into an inhomogeneous state of well-defined propagating stripes of flocking particles interspersed with low density disordered regions. Further, we find that even in the regime where the homogeneous flocking state is stabl"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1001.3334","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-01-19T15:41:33Z","cross_cats_sorted":["cond-mat.soft","q-bio.QM"],"title_canon_sha256":"e2db768444519dbbb0be5ab7fe0a9dc6cc7a343711e40b004414ff3709ee8a82","abstract_canon_sha256":"468b7afd248856a41256318a0cb7b3f6f5956f34db256f9d7d9be68fec8e29fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:49.443572Z","signature_b64":"R3eqkpeBe+/3HbwggWPqSJKh5PtZFW2a1LqsrsgiPGKlfOpdyzmFu+Sgij0KTWRzbkRat1M3Cc4Mvcigy6DbDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d42430dd804310d471997a66c2c4883f70e093b39570ce12486ef8fe908c54a2","last_reissued_at":"2026-05-18T03:23:49.442784Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:49.442784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fluctuations and Pattern Formation in Self-Propelled Particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","q-bio.QM"],"primary_cat":"cond-mat.stat-mech","authors_text":"Aparna Baskaran, M. Cristina Marchetti, Shradha Mishra","submitted_at":"2010-01-19T15:41:33Z","abstract_excerpt":"We consider a coarse-grained description of a system of self-propelled particles given by hydrodynamic equations for the density and polarization fields. We find that the ordered moving or flocking state of the system is unstable to spatial fluctuations beyond a threshold set by the self-propulsion velocity of the individual units. In this region, the system organizes itself into an inhomogeneous state of well-defined propagating stripes of flocking particles interspersed with low density disordered regions. Further, we find that even in the regime where the homogeneous flocking state is stabl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.3334","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1001.3334","created_at":"2026-05-18T03:23:49.442907+00:00"},{"alias_kind":"arxiv_version","alias_value":"1001.3334v2","created_at":"2026-05-18T03:23:49.442907+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.3334","created_at":"2026-05-18T03:23:49.442907+00:00"},{"alias_kind":"pith_short_12","alias_value":"2QSDBXMAIMIN","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"2QSDBXMAIMINI4MZ","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"2QSDBXMA","created_at":"2026-05-18T12:26:03.138858+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2QSDBXMAIMINI4MZPJTMFREIH5","json":"https://pith.science/pith/2QSDBXMAIMINI4MZPJTMFREIH5.json","graph_json":"https://pith.science/api/pith-number/2QSDBXMAIMINI4MZPJTMFREIH5/graph.json","events_json":"https://pith.science/api/pith-number/2QSDBXMAIMINI4MZPJTMFREIH5/events.json","paper":"https://pith.science/paper/2QSDBXMA"},"agent_actions":{"view_html":"https://pith.science/pith/2QSDBXMAIMINI4MZPJTMFREIH5","download_json":"https://pith.science/pith/2QSDBXMAIMINI4MZPJTMFREIH5.json","view_paper":"https://pith.science/paper/2QSDBXMA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1001.3334&json=true","fetch_graph":"https://pith.science/api/pith-number/2QSDBXMAIMINI4MZPJTMFREIH5/graph.json","fetch_events":"https://pith.science/api/pith-number/2QSDBXMAIMINI4MZPJTMFREIH5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2QSDBXMAIMINI4MZPJTMFREIH5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2QSDBXMAIMINI4MZPJTMFREIH5/action/storage_attestation","attest_author":"https://pith.science/pith/2QSDBXMAIMINI4MZPJTMFREIH5/action/author_attestation","sign_citation":"https://pith.science/pith/2QSDBXMAIMINI4MZPJTMFREIH5/action/citation_signature","submit_replication":"https://pith.science/pith/2QSDBXMAIMINI4MZPJTMFREIH5/action/replication_record"}},"created_at":"2026-05-18T03:23:49.442907+00:00","updated_at":"2026-05-18T03:23:49.442907+00:00"}