{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:GNPJ3PIFOE64Y7HWNCEDBICTDQ","short_pith_number":"pith:GNPJ3PIF","schema_version":"1.0","canonical_sha256":"335e9dbd05713dcc7cf6688830a0531c11cce2f0b29c9bcfa7c061e5f5b1e41e","source":{"kind":"arxiv","id":"1402.1397","version":1},"attestation_state":"computed","paper":{"title":"Self-induced polar order of active Brownian particles in a harmonic trap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph","physics.flu-dyn"],"primary_cat":"cond-mat.soft","authors_text":"Holger Stark, Katrin Wolff, Marc Hennes","submitted_at":"2014-02-06T16:32:30Z","abstract_excerpt":"Hydrodynamically interacting active particles in an external harmonic potential form a self-assembled fluid pump at large enough P\\'eclet numbers. Here, we give a quantitative criterion for the formation of the pump and show that particle orientations align in the self-induced flow field in surprising analogy to ferromagnetic order where the active P\\'eclet number plays the role of inverse temperature. The particle orientations follow a Boltzmann distribution $\\Phi(\\mathbf{p}) \\sim \\exp(A p_z)$ where the ordering mean field $A$ scales with active P\\'eclet number and polar order parameter. The "},"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":"1402.1397","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-02-06T16:32:30Z","cross_cats_sorted":["physics.bio-ph","physics.flu-dyn"],"title_canon_sha256":"e2f4d288496479f0b7697d1c7a53f672443e45887df486f3001203411a378e01","abstract_canon_sha256":"99f7d7ea4201236230dde3352a482c07ad09516f9eac7a790f28cf5ccd0aa71a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:46.927941Z","signature_b64":"3Sjv9hKyi0DDOfwPWou/H4WGsnhDjFr2mzKHI4VwD+A+QA/a5pKYoOccYMFJr4Lv5A5OaS5cAX4hdBT8f5bcCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"335e9dbd05713dcc7cf6688830a0531c11cce2f0b29c9bcfa7c061e5f5b1e41e","last_reissued_at":"2026-05-18T01:44:46.927415Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:46.927415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Self-induced polar order of active Brownian particles in a harmonic trap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph","physics.flu-dyn"],"primary_cat":"cond-mat.soft","authors_text":"Holger Stark, Katrin Wolff, Marc Hennes","submitted_at":"2014-02-06T16:32:30Z","abstract_excerpt":"Hydrodynamically interacting active particles in an external harmonic potential form a self-assembled fluid pump at large enough P\\'eclet numbers. Here, we give a quantitative criterion for the formation of the pump and show that particle orientations align in the self-induced flow field in surprising analogy to ferromagnetic order where the active P\\'eclet number plays the role of inverse temperature. The particle orientations follow a Boltzmann distribution $\\Phi(\\mathbf{p}) \\sim \\exp(A p_z)$ where the ordering mean field $A$ scales with active P\\'eclet number and polar order parameter. The "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1397","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1402.1397","created_at":"2026-05-18T01:44:46.927492+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.1397v1","created_at":"2026-05-18T01:44:46.927492+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1397","created_at":"2026-05-18T01:44:46.927492+00:00"},{"alias_kind":"pith_short_12","alias_value":"GNPJ3PIFOE64","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"GNPJ3PIFOE64Y7HW","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"GNPJ3PIF","created_at":"2026-05-18T12:28:30.664211+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/GNPJ3PIFOE64Y7HWNCEDBICTDQ","json":"https://pith.science/pith/GNPJ3PIFOE64Y7HWNCEDBICTDQ.json","graph_json":"https://pith.science/api/pith-number/GNPJ3PIFOE64Y7HWNCEDBICTDQ/graph.json","events_json":"https://pith.science/api/pith-number/GNPJ3PIFOE64Y7HWNCEDBICTDQ/events.json","paper":"https://pith.science/paper/GNPJ3PIF"},"agent_actions":{"view_html":"https://pith.science/pith/GNPJ3PIFOE64Y7HWNCEDBICTDQ","download_json":"https://pith.science/pith/GNPJ3PIFOE64Y7HWNCEDBICTDQ.json","view_paper":"https://pith.science/paper/GNPJ3PIF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.1397&json=true","fetch_graph":"https://pith.science/api/pith-number/GNPJ3PIFOE64Y7HWNCEDBICTDQ/graph.json","fetch_events":"https://pith.science/api/pith-number/GNPJ3PIFOE64Y7HWNCEDBICTDQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GNPJ3PIFOE64Y7HWNCEDBICTDQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GNPJ3PIFOE64Y7HWNCEDBICTDQ/action/storage_attestation","attest_author":"https://pith.science/pith/GNPJ3PIFOE64Y7HWNCEDBICTDQ/action/author_attestation","sign_citation":"https://pith.science/pith/GNPJ3PIFOE64Y7HWNCEDBICTDQ/action/citation_signature","submit_replication":"https://pith.science/pith/GNPJ3PIFOE64Y7HWNCEDBICTDQ/action/replication_record"}},"created_at":"2026-05-18T01:44:46.927492+00:00","updated_at":"2026-05-18T01:44:46.927492+00:00"}