{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PH672MQVIJUEYLCQVNOX6L57PX","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":"34c568772d4ca9c1367d0dc6da854fdc45df1bd6b9a340a7389b0ce9cc26ef61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-12-17T17:33:50Z","title_canon_sha256":"456556f0bfc3c661bf4e89f8acb3505d8a4fd34e8adc430abd4fee701077e756"},"schema_version":"1.0","source":{"id":"1512.05683","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.05683","created_at":"2026-05-18T01:15:38Z"},{"alias_kind":"arxiv_version","alias_value":"1512.05683v1","created_at":"2026-05-18T01:15:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05683","created_at":"2026-05-18T01:15:38Z"},{"alias_kind":"pith_short_12","alias_value":"PH672MQVIJUE","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PH672MQVIJUEYLCQ","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PH672MQV","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:eba6f58aac1b7987ae47b8f89af5e5e927552475fef5e85b125b5e76005ca246","target":"graph","created_at":"2026-05-18T01:15:38Z","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":"The virial theorem for a system of interacting electrons in a crystal, which is described within the framework of the tight-binding model, is derived. We show that, in particular case of interacting massless electrons in graphene and other Dirac materials, the conventional virial theorem is violated. Starting from the tight-binding model, we derive the generalized virial theorem for Dirac electron systems, which contains an additional term associated with a momentum cutoff at the bottom of the energy band. Additionally, we derive the generalized virial theorem within the Dirac model using the ","authors_text":"A. A. Sokolik, A. D. Zabolotskiy, Yu. E. Lozovik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-12-17T17:33:50Z","title":"Generalized virial theorem for massless electrons in graphene and other Dirac materials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05683","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":"sha256:8a72bdec5895c33813767bea00a9fc1a3d37502d68dcb232aed2debd951bae12","target":"record","created_at":"2026-05-18T01:15:38Z","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":"34c568772d4ca9c1367d0dc6da854fdc45df1bd6b9a340a7389b0ce9cc26ef61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-12-17T17:33:50Z","title_canon_sha256":"456556f0bfc3c661bf4e89f8acb3505d8a4fd34e8adc430abd4fee701077e756"},"schema_version":"1.0","source":{"id":"1512.05683","kind":"arxiv","version":1}},"canonical_sha256":"79fdfd321542684c2c50ab5d7f2fbf7dc1e7e5059ec7e5a45586740ca145991b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79fdfd321542684c2c50ab5d7f2fbf7dc1e7e5059ec7e5a45586740ca145991b","first_computed_at":"2026-05-18T01:15:38.399426Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:38.399426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b9AaE3DSfh+I+iATeVWkeX2Eo5+sdOmmL6uMASsaJ3hKaXQ12Lx7fa+bQhfipyI8r1lYJigXAWnJrhOk4WBkAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:38.400087Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.05683","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a72bdec5895c33813767bea00a9fc1a3d37502d68dcb232aed2debd951bae12","sha256:eba6f58aac1b7987ae47b8f89af5e5e927552475fef5e85b125b5e76005ca246"],"state_sha256":"57d593ad964da5ebb451f95ea79ea8b1f289efc6de457c9a0b5da8e13736b902"}