{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VXBEBJRVQXHISNOAOOWHPINGYZ","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":"a3b3a1348d75f41fdf27da384a4e1441f0e8b8ad5f5244c61283b26a8cb6a255","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-11-20T23:06:51Z","title_canon_sha256":"46eb06507d460d8ffadfe054c20b25562c815be838fc5cc47d574ccef4dbeba2"},"schema_version":"1.0","source":{"id":"1511.06796","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.06796","created_at":"2026-05-18T01:16:45Z"},{"alias_kind":"arxiv_version","alias_value":"1511.06796v2","created_at":"2026-05-18T01:16:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.06796","created_at":"2026-05-18T01:16:45Z"},{"alias_kind":"pith_short_12","alias_value":"VXBEBJRVQXHI","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VXBEBJRVQXHISNOA","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VXBEBJRV","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:87c3f448b5ef592a7783d18079b4059ce2493b4e171ca89b1c7e7406ed1ecab8","target":"graph","created_at":"2026-05-18T01:16:45Z","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 show that the electron mobility in ideal, free-standing two-dimensional `buckled' crystals with broken horizontal mirror ($\\sigma_{\\rm h}$) symmetry and Dirac-like dispersion (such as silicene and germanene) is dramatically affected by scattering with the acoustic flexural modes (ZA phonons). This is caused both by the broken $\\sigma_{\\rm h}$ symmetry and by the diverging number of long-wavelength ZA phonons, consistent with the Mermin-Wagner theorem. Non-$\\sigma_{\\rm h}$-symmetric, `gapped' 2D crystals (such as semiconducting transition-metal dichalcogenides with a tetragonal crystal struc","authors_text":"Massimo V. Fischetti, William G. Vandenberghe","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-11-20T23:06:51Z","title":"Mermin-Wagner theorem, flexural modes, and degraded carrier mobility in 2D crystals with broken horizontal mirror (${\\sigma}_{\\rm h}$) symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.06796","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:b63c0fe39c30f1957c68b0d643e6791c5b82ee958e642b49eaee5b77056e3a03","target":"record","created_at":"2026-05-18T01:16:45Z","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":"a3b3a1348d75f41fdf27da384a4e1441f0e8b8ad5f5244c61283b26a8cb6a255","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-11-20T23:06:51Z","title_canon_sha256":"46eb06507d460d8ffadfe054c20b25562c815be838fc5cc47d574ccef4dbeba2"},"schema_version":"1.0","source":{"id":"1511.06796","kind":"arxiv","version":2}},"canonical_sha256":"adc240a63585ce8935c073ac77a1a6c675d78cba80b20cc55519d79b7feabd35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"adc240a63585ce8935c073ac77a1a6c675d78cba80b20cc55519d79b7feabd35","first_computed_at":"2026-05-18T01:16:45.289798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:45.289798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UkRZbmBQ0awCVEZrzWOxm5A3S0NfOalozzaFVr5j9+lRXhElyoN6nTuhdJJ3KeMTGRy0ndXqsCORoyby4U+DAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:45.290458Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.06796","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b63c0fe39c30f1957c68b0d643e6791c5b82ee958e642b49eaee5b77056e3a03","sha256:87c3f448b5ef592a7783d18079b4059ce2493b4e171ca89b1c7e7406ed1ecab8"],"state_sha256":"468a1114561a15417308b5f9639fa3b1201545ed4c52e2262203225ed607b36d"}