{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XQHC3R6SOEUYMZAI6XKROBDU25","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":"37c92a42af2fcc2bcc29d3aa4af198d7b1804025d4104aecff5facb1006d4b60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-07-24T15:31:11Z","title_canon_sha256":"022e3ed0a3aec940c3a27da1dc0e79f9f78b1c6e281d941cff1f802fe68f43b6"},"schema_version":"1.0","source":{"id":"1807.09183","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.09183","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"arxiv_version","alias_value":"1807.09183v2","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.09183","created_at":"2026-05-17T23:47:36Z"},{"alias_kind":"pith_short_12","alias_value":"XQHC3R6SOEUY","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XQHC3R6SOEUYMZAI","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XQHC3R6S","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:bb86974bcaf9eb86423b9af409da88e7ff505a7a84f572d23089759ddf1b6372","target":"graph","created_at":"2026-05-17T23:47:36Z","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":"Weyl nodes in three-dimensional Weyl semimetals break the Liouville equation, leading to the Liouville anomaly. Here we present a new approach to derive the semiclassical action and equations of motion for Weyl fermions in the presence of electromagnetic fields and torsions from the quantum field theory: combining the Wigner transformation with band projection operation. It has been shown that the Liouville anomaly, including a new pure torsion anomaly term, a mixing term between the electromagnetic fields and torsions as well as the conventional chiral anomaly, entirely differs from the count","authors_text":"Hong-Hao Zhang, Jianhui Zhou, Longyue Li, Ze-Min Huang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-07-24T15:31:11Z","title":"Torsional Responses and Liouville Anomaly in Weyl Semimetals with Dislocations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09183","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:ae6adbd3e687c8dbb296fb82b99ee373030088d00b2423f32e9d7b3c9840b2d4","target":"record","created_at":"2026-05-17T23:47:36Z","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":"37c92a42af2fcc2bcc29d3aa4af198d7b1804025d4104aecff5facb1006d4b60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-07-24T15:31:11Z","title_canon_sha256":"022e3ed0a3aec940c3a27da1dc0e79f9f78b1c6e281d941cff1f802fe68f43b6"},"schema_version":"1.0","source":{"id":"1807.09183","kind":"arxiv","version":2}},"canonical_sha256":"bc0e2dc7d27129866408f5d5170474d75d93eb7a3d7d7860b71a757a3dc1e06b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc0e2dc7d27129866408f5d5170474d75d93eb7a3d7d7860b71a757a3dc1e06b","first_computed_at":"2026-05-17T23:47:36.188145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:36.188145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"14nQca/F4VqGdGnp8o1kiuA9xLt64o1GFiLyaw9FfwRfEvibBF6pgZ51ZnAlAfAHpeLli5UDSKxh+bwbOmUiAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:36.188519Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.09183","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae6adbd3e687c8dbb296fb82b99ee373030088d00b2423f32e9d7b3c9840b2d4","sha256:bb86974bcaf9eb86423b9af409da88e7ff505a7a84f572d23089759ddf1b6372"],"state_sha256":"3b1b6d1e844d2a4024ee45a9c1f4bc632e4382791b1121565c76cbc4e1b84c38"}