{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CKGHZEQV7I7L7KG3QE5RCBFXTC","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":"e220194dbce15310e0f5db0187e5e2c6946ba9b07b022545c353638887a69faf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-12-07T03:21:45Z","title_canon_sha256":"fd8140b19cb1659ba239f9e7af04c5c6bf0112c2559005b6cb3ded1c4b4a5d07"},"schema_version":"1.0","source":{"id":"1112.1464","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1464","created_at":"2026-05-18T01:59:15Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1464v1","created_at":"2026-05-18T01:59:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1464","created_at":"2026-05-18T01:59:15Z"},{"alias_kind":"pith_short_12","alias_value":"CKGHZEQV7I7L","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CKGHZEQV7I7L7KG3","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CKGHZEQV","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:afab2b6c7a524696b1adf470b8ca78262ae49198a552301f4f52b7f6c0070253","target":"graph","created_at":"2026-05-18T01:59:15Z","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 study the smectic $A$-$C$ phase transition in biaxial disordered environments, e.g. fully anisotropic aerogel. We find that both the $A$ and $C$ phases belong to the universality class of the \"XY Bragg glass\", and therefore have quasi-long-ranged translational smectic order. The phase transition itself belongs to a new universality class, which we study using an $\\epsilon=7/2-d$ expansion. We find a stable fixed point, which implies a continuous transition, the critical exponents of which we calculate.","authors_text":"Eugene, Institute of Theoretical Science, Jiangsu, John Toner (Department of Physics, Leiming Chen (College of Science, OR), P. R. China), Technology, The China University of Mining, University of Oregon, Xuzhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-12-07T03:21:45Z","title":"The Smectic $A$-$C$ Phase Transition in Biaxial Disordered Environments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1464","kind":"arxiv","version":1},"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":"sha256:93326e53d91b0d7130b8e9c0d49095e51c3d654ae2f8483e37effa34f3c0d0e1","target":"record","created_at":"2026-05-18T01:59:15Z","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":"e220194dbce15310e0f5db0187e5e2c6946ba9b07b022545c353638887a69faf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-12-07T03:21:45Z","title_canon_sha256":"fd8140b19cb1659ba239f9e7af04c5c6bf0112c2559005b6cb3ded1c4b4a5d07"},"schema_version":"1.0","source":{"id":"1112.1464","kind":"arxiv","version":1}},"canonical_sha256":"128c7c9215fa3ebfa8db813b1104b7989394a34af35f1ecf3a8af86ca6e54385","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"128c7c9215fa3ebfa8db813b1104b7989394a34af35f1ecf3a8af86ca6e54385","first_computed_at":"2026-05-18T01:59:15.966007Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:15.966007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QVlpVDe+/qX5ps8Y1ZU0zA1o8uiXlvNkbZ5jkpbf5opb1lKBTerphwI1npmSBzHZLs13q6cXfHPj6ByAVeJgDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:15.966775Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1464","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93326e53d91b0d7130b8e9c0d49095e51c3d654ae2f8483e37effa34f3c0d0e1","sha256:afab2b6c7a524696b1adf470b8ca78262ae49198a552301f4f52b7f6c0070253"],"state_sha256":"59f57c301371828afce215d3b9ed38205d86439e02dbf5b35eaf14af0853d729"}