{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:QT6AL5EEUO2HIEDVHTOAKJAHTG","short_pith_number":"pith:QT6AL5EE","schema_version":"1.0","canonical_sha256":"84fc05f484a3b47410753cdc0524079991ed56bc09bcaab5e1ffae661d449573","source":{"kind":"arxiv","id":"1401.0801","version":1},"attestation_state":"computed","paper":{"title":"Periodic ordering of clusters and stripes in a two-dimensional lattice model. I. Ground state, mean-field phase diagram and structure of the disordered phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"A. Ciach, J. Pekalski, N. Almarza","submitted_at":"2014-01-04T11:50:35Z","abstract_excerpt":"The short-range attraction and long-range repulsion (SALR) between nanoparticles or macromolecules can lead to spontaneous pattern formation on solid surfaces, fluid interfaces or membranes. In order to study the self-assembly in such systems we consider a triangular lattice model with nearest-neighbour attraction and third-neighbour repulsion. At the ground state of the model ($T=0$) the lattice is empty for small values of the chemical potential $\\mu$, and fully occupied for large $\\mu$. For intermediate values of $\\mu$ periodically distributed clusters, bubbles or stripes appear if the repu"},"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":"1401.0801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-01-04T11:50:35Z","cross_cats_sorted":[],"title_canon_sha256":"0acacfe18e3a8b4d2792b9914a256349a99b8673f0609090c76eab143a2bcc2f","abstract_canon_sha256":"dd6ce39adb6e01af8198a27b21d9096b26a3a043d4fb55ea5d0b4774fe381d80"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:11.943465Z","signature_b64":"825JPfUPo+N4wnCouxLt1/6brpMoh786AzgS+Bjbr1nvX6obytnNs+IdqXqKdjipqkXxyNVf2sSGpjEUMftHDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84fc05f484a3b47410753cdc0524079991ed56bc09bcaab5e1ffae661d449573","last_reissued_at":"2026-05-18T03:03:11.942687Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:11.942687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Periodic ordering of clusters and stripes in a two-dimensional lattice model. I. Ground state, mean-field phase diagram and structure of the disordered phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"A. Ciach, J. Pekalski, N. Almarza","submitted_at":"2014-01-04T11:50:35Z","abstract_excerpt":"The short-range attraction and long-range repulsion (SALR) between nanoparticles or macromolecules can lead to spontaneous pattern formation on solid surfaces, fluid interfaces or membranes. In order to study the self-assembly in such systems we consider a triangular lattice model with nearest-neighbour attraction and third-neighbour repulsion. At the ground state of the model ($T=0$) the lattice is empty for small values of the chemical potential $\\mu$, and fully occupied for large $\\mu$. For intermediate values of $\\mu$ periodically distributed clusters, bubbles or stripes appear if the repu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0801","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":"1401.0801","created_at":"2026-05-18T03:03:11.942820+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.0801v1","created_at":"2026-05-18T03:03:11.942820+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0801","created_at":"2026-05-18T03:03:11.942820+00:00"},{"alias_kind":"pith_short_12","alias_value":"QT6AL5EEUO2H","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"QT6AL5EEUO2HIEDV","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"QT6AL5EE","created_at":"2026-05-18T12:28:46.137349+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/QT6AL5EEUO2HIEDVHTOAKJAHTG","json":"https://pith.science/pith/QT6AL5EEUO2HIEDVHTOAKJAHTG.json","graph_json":"https://pith.science/api/pith-number/QT6AL5EEUO2HIEDVHTOAKJAHTG/graph.json","events_json":"https://pith.science/api/pith-number/QT6AL5EEUO2HIEDVHTOAKJAHTG/events.json","paper":"https://pith.science/paper/QT6AL5EE"},"agent_actions":{"view_html":"https://pith.science/pith/QT6AL5EEUO2HIEDVHTOAKJAHTG","download_json":"https://pith.science/pith/QT6AL5EEUO2HIEDVHTOAKJAHTG.json","view_paper":"https://pith.science/paper/QT6AL5EE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.0801&json=true","fetch_graph":"https://pith.science/api/pith-number/QT6AL5EEUO2HIEDVHTOAKJAHTG/graph.json","fetch_events":"https://pith.science/api/pith-number/QT6AL5EEUO2HIEDVHTOAKJAHTG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QT6AL5EEUO2HIEDVHTOAKJAHTG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QT6AL5EEUO2HIEDVHTOAKJAHTG/action/storage_attestation","attest_author":"https://pith.science/pith/QT6AL5EEUO2HIEDVHTOAKJAHTG/action/author_attestation","sign_citation":"https://pith.science/pith/QT6AL5EEUO2HIEDVHTOAKJAHTG/action/citation_signature","submit_replication":"https://pith.science/pith/QT6AL5EEUO2HIEDVHTOAKJAHTG/action/replication_record"}},"created_at":"2026-05-18T03:03:11.942820+00:00","updated_at":"2026-05-18T03:03:11.942820+00:00"}