{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:QDRCF57BCMIPI56KVKCFT34PSF","short_pith_number":"pith:QDRCF57B","schema_version":"1.0","canonical_sha256":"80e222f7e11310f477caaa8459ef8f915ba16e8444bdd7b7a868b2a8ae477730","source":{"kind":"arxiv","id":"1211.1748","version":3},"attestation_state":"computed","paper":{"title":"Classification of massive and gapless phases in bilayer graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.str-el","authors_text":"Bitan Roy","submitted_at":"2012-11-08T02:26:49Z","abstract_excerpt":"We here classify of all the fully gapped \\emph{massive} and \\emph{gapless} phases in bilayer graphene. The effective low energy theory in bilayer graphene is constructed, and various discrete and continuous symmetries of the non-interacting system is analyzed. Spinless fermions, placed in a quantizing magnetic field is considered. The quantum anomalous Hall insulator is properly defined. Constructing a particle-hole doubled 16 component Nambu-Dirac spinor, we recognize all the possible fully gapped, and the gapless states, which, on the other hand, split the parabolic dispersion into two aniso"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1211.1748","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-08T02:26:49Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"67bf15450233563c28eb9c46534bc60b64ac880aa5278b8937363b0e48705ee9","abstract_canon_sha256":"f225e77bede9593911a2e8bbba8777495f5c448ec869ba8be91d8283e989fcf9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:10.662788Z","signature_b64":"f+k5yRoB+MHsx0KPcwNLrh4EJreUDJsKUQOieUY61Hw3HgYISmWjs+RLi+tu5TrDkSIVbRVrUYITe627OyUqAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80e222f7e11310f477caaa8459ef8f915ba16e8444bdd7b7a868b2a8ae477730","last_reissued_at":"2026-05-18T03:13:10.662206Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:10.662206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of massive and gapless phases in bilayer graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.str-el","authors_text":"Bitan Roy","submitted_at":"2012-11-08T02:26:49Z","abstract_excerpt":"We here classify of all the fully gapped \\emph{massive} and \\emph{gapless} phases in bilayer graphene. The effective low energy theory in bilayer graphene is constructed, and various discrete and continuous symmetries of the non-interacting system is analyzed. Spinless fermions, placed in a quantizing magnetic field is considered. The quantum anomalous Hall insulator is properly defined. Constructing a particle-hole doubled 16 component Nambu-Dirac spinor, we recognize all the possible fully gapped, and the gapless states, which, on the other hand, split the parabolic dispersion into two aniso"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1748","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1211.1748","created_at":"2026-05-18T03:13:10.662292+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.1748v3","created_at":"2026-05-18T03:13:10.662292+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1748","created_at":"2026-05-18T03:13:10.662292+00:00"},{"alias_kind":"pith_short_12","alias_value":"QDRCF57BCMIP","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QDRCF57BCMIPI56K","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QDRCF57B","created_at":"2026-05-18T12:27:18.751474+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QDRCF57BCMIPI56KVKCFT34PSF","json":"https://pith.science/pith/QDRCF57BCMIPI56KVKCFT34PSF.json","graph_json":"https://pith.science/api/pith-number/QDRCF57BCMIPI56KVKCFT34PSF/graph.json","events_json":"https://pith.science/api/pith-number/QDRCF57BCMIPI56KVKCFT34PSF/events.json","paper":"https://pith.science/paper/QDRCF57B"},"agent_actions":{"view_html":"https://pith.science/pith/QDRCF57BCMIPI56KVKCFT34PSF","download_json":"https://pith.science/pith/QDRCF57BCMIPI56KVKCFT34PSF.json","view_paper":"https://pith.science/paper/QDRCF57B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.1748&json=true","fetch_graph":"https://pith.science/api/pith-number/QDRCF57BCMIPI56KVKCFT34PSF/graph.json","fetch_events":"https://pith.science/api/pith-number/QDRCF57BCMIPI56KVKCFT34PSF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QDRCF57BCMIPI56KVKCFT34PSF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QDRCF57BCMIPI56KVKCFT34PSF/action/storage_attestation","attest_author":"https://pith.science/pith/QDRCF57BCMIPI56KVKCFT34PSF/action/author_attestation","sign_citation":"https://pith.science/pith/QDRCF57BCMIPI56KVKCFT34PSF/action/citation_signature","submit_replication":"https://pith.science/pith/QDRCF57BCMIPI56KVKCFT34PSF/action/replication_record"}},"created_at":"2026-05-18T03:13:10.662292+00:00","updated_at":"2026-05-18T03:13:10.662292+00:00"}