{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4457LQNQIVBKHGGJVKSQ7YPJQJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5237ab0f98283b5e13b1bee5605db3f4fa6be875e6619aea766fff4fdca4580b","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-19T20:23:28Z","title_canon_sha256":"bc13299d5dc4335e2c76e167e3c8aa322930b61d15b1bd6a36f3db2cc6dcd6f8"},"schema_version":"1.0","source":{"id":"1105.3983","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3983","created_at":"2026-05-18T04:12:11Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3983v2","created_at":"2026-05-18T04:12:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3983","created_at":"2026-05-18T04:12:11Z"},{"alias_kind":"pith_short_12","alias_value":"4457LQNQIVBK","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4457LQNQIVBKHGGJ","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4457LQNQ","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:6ca28760195b336bd0df9dc9988d065cd058f08190d8d9ed6e785e3e9f595ee5","target":"graph","created_at":"2026-05-18T04:12:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We develop a fully microscopic, statistical mechanics approach to study phase transitions in Ising systems with competing interactions at different scales. Our aim is to consider orientational and positional order parameters in a unified framework. In this work we consider two dimensional stripe forming systems, where nematic, smectic and crystal phases are possible. We introduce a nematic order parameter in a lattice, which measures orientational order of interfaces. We develop a mean field approach which leads to a free energy which is a function of both the magnetization (density) and the o","authors_text":"Daniel A. Stariolo, Daniel G. Barci","cross_cats":["cond-mat.mes-hall","cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-19T20:23:28Z","title":"Microscopic approach to orientational order of domain walls"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3983","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:de87a9703032eb9db8dc94f84e8f4d244cf6fefebb081aabff8123487a1411e0","target":"record","created_at":"2026-05-18T04:12:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5237ab0f98283b5e13b1bee5605db3f4fa6be875e6619aea766fff4fdca4580b","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-19T20:23:28Z","title_canon_sha256":"bc13299d5dc4335e2c76e167e3c8aa322930b61d15b1bd6a36f3db2cc6dcd6f8"},"schema_version":"1.0","source":{"id":"1105.3983","kind":"arxiv","version":2}},"canonical_sha256":"e73bf5c1b04542a398c9aaa50fe1e9825a02cf5da46938ed5ad925b78e7051a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e73bf5c1b04542a398c9aaa50fe1e9825a02cf5da46938ed5ad925b78e7051a5","first_computed_at":"2026-05-18T04:12:11.698665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:11.698665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5Fddo97Xuufv9eQD7CoDpX4AMxQ6+mm+L/bvV7/l18sc5vQXOWads82Z4tXIBw5NMqD9J2Ab8PjJ8g/z33/BCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:11.699137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.3983","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de87a9703032eb9db8dc94f84e8f4d244cf6fefebb081aabff8123487a1411e0","sha256:6ca28760195b336bd0df9dc9988d065cd058f08190d8d9ed6e785e3e9f595ee5"],"state_sha256":"dd38cbd50193fc13e2c6bd4197dff89e45551d8d74ede6983b703354b708a14a"}