{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1998:FHYY3KZ7EFNQOSAMWZA6EYTT7Z","short_pith_number":"pith:FHYY3KZ7","schema_version":"1.0","canonical_sha256":"29f18dab3f215b07480cb641e26273fe694a0bb76fc61ad8fb9186304ba3e4bb","source":{"kind":"arxiv","id":"cond-mat/9809123","version":2},"attestation_state":"computed","paper":{"title":"Spontaneous Breaking of Translational Invariance and Spatial Condensation in Stationary States on a Ring: I. The Neutral System","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Peter F. Arndt, Thomas Heinzel, Vladimir Rittenberg","submitted_at":"1998-09-07T23:18:15Z","abstract_excerpt":"We consider a model in which positive and negative particles with equal densities diffuse in an asymmetric, CP invariant way on a ring. The positive particles hop clockwise, the negative counter-clockwise and oppositely-charged adjacent particles may swap positions. The model depends on two parameters. Analytic calculations using quadratic algebras, inhomogeneous solutions of the mean-field equations and Monte-Carlo simulations suggest that the model has three phases. A pure phase in which one has three pinned blocks of only positive, negative particles and vacancies and in which translational"},"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":"cond-mat/9809123","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1998-09-07T23:18:15Z","cross_cats_sorted":[],"title_canon_sha256":"18a420d1b23ad5b3884958341a86da1f1667a9f8b5ea3ce6d76a046e24ad83ec","abstract_canon_sha256":"2d274a88bf403f163f4919d23f3cdc390e319bb57a6228dbc439c0bed4886bcf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:30.072055Z","signature_b64":"pyz3UnwBisvQaqmV/Dwp/ZJJddjoPlrHiYv2clilfwaPUG8cWjFBkwz/6iVHCJFOCp2Uv2La0AA1PkGFHRjlCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29f18dab3f215b07480cb641e26273fe694a0bb76fc61ad8fb9186304ba3e4bb","last_reissued_at":"2026-05-18T01:39:30.071510Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:30.071510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spontaneous Breaking of Translational Invariance and Spatial Condensation in Stationary States on a Ring: I. The Neutral System","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Peter F. Arndt, Thomas Heinzel, Vladimir Rittenberg","submitted_at":"1998-09-07T23:18:15Z","abstract_excerpt":"We consider a model in which positive and negative particles with equal densities diffuse in an asymmetric, CP invariant way on a ring. The positive particles hop clockwise, the negative counter-clockwise and oppositely-charged adjacent particles may swap positions. The model depends on two parameters. Analytic calculations using quadratic algebras, inhomogeneous solutions of the mean-field equations and Monte-Carlo simulations suggest that the model has three phases. A pure phase in which one has three pinned blocks of only positive, negative particles and vacancies and in which translational"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9809123","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":"cond-mat/9809123","created_at":"2026-05-18T01:39:30.071617+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9809123v2","created_at":"2026-05-18T01:39:30.071617+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9809123","created_at":"2026-05-18T01:39:30.071617+00:00"},{"alias_kind":"pith_short_12","alias_value":"FHYY3KZ7EFNQ","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"FHYY3KZ7EFNQOSAM","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"FHYY3KZ7","created_at":"2026-05-18T12:25:49.038998+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/FHYY3KZ7EFNQOSAMWZA6EYTT7Z","json":"https://pith.science/pith/FHYY3KZ7EFNQOSAMWZA6EYTT7Z.json","graph_json":"https://pith.science/api/pith-number/FHYY3KZ7EFNQOSAMWZA6EYTT7Z/graph.json","events_json":"https://pith.science/api/pith-number/FHYY3KZ7EFNQOSAMWZA6EYTT7Z/events.json","paper":"https://pith.science/paper/FHYY3KZ7"},"agent_actions":{"view_html":"https://pith.science/pith/FHYY3KZ7EFNQOSAMWZA6EYTT7Z","download_json":"https://pith.science/pith/FHYY3KZ7EFNQOSAMWZA6EYTT7Z.json","view_paper":"https://pith.science/paper/FHYY3KZ7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/9809123&json=true","fetch_graph":"https://pith.science/api/pith-number/FHYY3KZ7EFNQOSAMWZA6EYTT7Z/graph.json","fetch_events":"https://pith.science/api/pith-number/FHYY3KZ7EFNQOSAMWZA6EYTT7Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FHYY3KZ7EFNQOSAMWZA6EYTT7Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FHYY3KZ7EFNQOSAMWZA6EYTT7Z/action/storage_attestation","attest_author":"https://pith.science/pith/FHYY3KZ7EFNQOSAMWZA6EYTT7Z/action/author_attestation","sign_citation":"https://pith.science/pith/FHYY3KZ7EFNQOSAMWZA6EYTT7Z/action/citation_signature","submit_replication":"https://pith.science/pith/FHYY3KZ7EFNQOSAMWZA6EYTT7Z/action/replication_record"}},"created_at":"2026-05-18T01:39:30.071617+00:00","updated_at":"2026-05-18T01:39:30.071617+00:00"}