{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:AVPOD7YZKV2K4FMXB7H62H27BW","short_pith_number":"pith:AVPOD7YZ","schema_version":"1.0","canonical_sha256":"055ee1ff195574ae15970fcfed1f5f0dbe8df0a85479342dd7715a2b2b007fee","source":{"kind":"arxiv","id":"1704.07936","version":2},"attestation_state":"computed","paper":{"title":"Modulated phases in a three-dimensional Maier-Saupe model with competing interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Anders W. Sandvik, Na Xu, P. F. Bienzobaz","submitted_at":"2017-04-26T00:02:59Z","abstract_excerpt":"This work is dedicated to the study of the discrete version of the Maier-Saupe model in the presence of competing interactions. The competition between interactions favoring different orientational ordering produces a rich phase diagram including modulated phases. Using a mean-field approach and Monte Carlo simulations, we show that the proposed model exhibits isotropic and nematic phases and also a series of modulated phases that meet at a multicritical point, a Lifshitz point. Though the Monte Carlo and mean-field phase diagrams show some quantitative disagreements, the Monte Carlo simulatio"},"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":"1704.07936","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-04-26T00:02:59Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"221bfdbeae2557f964a3a24616032a0a64c202e9975fc5ac68e041832edf8733","abstract_canon_sha256":"a8dca201fb331230b57a9dfa35098db6f7069f44a99b9613d0dd40fd09253ed1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:52.388742Z","signature_b64":"jJ5OCsIzRFWCZxq8bm4Qp6bPi1mGpCiopV39HsVfLAv008tswbftTfzAGxQbRZ13N57wnoEgoQHZoPXpv8qLAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"055ee1ff195574ae15970fcfed1f5f0dbe8df0a85479342dd7715a2b2b007fee","last_reissued_at":"2026-05-18T00:39:52.388209Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:52.388209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modulated phases in a three-dimensional Maier-Saupe model with competing interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Anders W. Sandvik, Na Xu, P. F. Bienzobaz","submitted_at":"2017-04-26T00:02:59Z","abstract_excerpt":"This work is dedicated to the study of the discrete version of the Maier-Saupe model in the presence of competing interactions. The competition between interactions favoring different orientational ordering produces a rich phase diagram including modulated phases. Using a mean-field approach and Monte Carlo simulations, we show that the proposed model exhibits isotropic and nematic phases and also a series of modulated phases that meet at a multicritical point, a Lifshitz point. Though the Monte Carlo and mean-field phase diagrams show some quantitative disagreements, the Monte Carlo simulatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.07936","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":"1704.07936","created_at":"2026-05-18T00:39:52.388279+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.07936v2","created_at":"2026-05-18T00:39:52.388279+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.07936","created_at":"2026-05-18T00:39:52.388279+00:00"},{"alias_kind":"pith_short_12","alias_value":"AVPOD7YZKV2K","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"AVPOD7YZKV2K4FMX","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"AVPOD7YZ","created_at":"2026-05-18T12:31:08.081275+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/AVPOD7YZKV2K4FMXB7H62H27BW","json":"https://pith.science/pith/AVPOD7YZKV2K4FMXB7H62H27BW.json","graph_json":"https://pith.science/api/pith-number/AVPOD7YZKV2K4FMXB7H62H27BW/graph.json","events_json":"https://pith.science/api/pith-number/AVPOD7YZKV2K4FMXB7H62H27BW/events.json","paper":"https://pith.science/paper/AVPOD7YZ"},"agent_actions":{"view_html":"https://pith.science/pith/AVPOD7YZKV2K4FMXB7H62H27BW","download_json":"https://pith.science/pith/AVPOD7YZKV2K4FMXB7H62H27BW.json","view_paper":"https://pith.science/paper/AVPOD7YZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.07936&json=true","fetch_graph":"https://pith.science/api/pith-number/AVPOD7YZKV2K4FMXB7H62H27BW/graph.json","fetch_events":"https://pith.science/api/pith-number/AVPOD7YZKV2K4FMXB7H62H27BW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AVPOD7YZKV2K4FMXB7H62H27BW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AVPOD7YZKV2K4FMXB7H62H27BW/action/storage_attestation","attest_author":"https://pith.science/pith/AVPOD7YZKV2K4FMXB7H62H27BW/action/author_attestation","sign_citation":"https://pith.science/pith/AVPOD7YZKV2K4FMXB7H62H27BW/action/citation_signature","submit_replication":"https://pith.science/pith/AVPOD7YZKV2K4FMXB7H62H27BW/action/replication_record"}},"created_at":"2026-05-18T00:39:52.388279+00:00","updated_at":"2026-05-18T00:39:52.388279+00:00"}