{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MVDZLZEOUVRLOAN7JM33JQJ6CB","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":"2b9bb3f951b5af87aa88a79ab089c8b5c2e0bf538b1eb7065b6f439ed5016355","cross_cats_sorted":["cond-mat.mes-hall","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-01-28T20:59:58Z","title_canon_sha256":"32121672e61659aaaca4cc0d27c058a1440ae4d786cfae528af9f5baa52d25e4"},"schema_version":"1.0","source":{"id":"1601.07902","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07902","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07902v1","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07902","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"pith_short_12","alias_value":"MVDZLZEOUVRL","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MVDZLZEOUVRLOAN7","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MVDZLZEO","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:e7353ddab383abcd0080428c03dddb79633b0372ec8848a688abab70006b3c50","target":"graph","created_at":"2026-05-18T01:21:41Z","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 establish a generalization of Luttinger's theorem that applies to fractionalized Fermi liquids, i.e. Fermi liquids coexisting with symmetry enriched topological order. We find that, in the linear relation between the Fermi volume and the density of fermions, the contribution of the density is changed by the filling fraction associated with the topologically ordered sector, which is determined by how the symmetries fractionalize. Conversely, this places constraints on the allowed symmetry enriched topological orders that can manifest in a fractionalized Fermi liquid with a given Fermi volume","authors_text":"Eugeniu Plamadeala, Kaushal Patel, Meng Cheng, Parsa Bonderson","cross_cats":["cond-mat.mes-hall","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-01-28T20:59:58Z","title":"Topological Enrichment of Luttinger's Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07902","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":"sha256:1665d3d8a445b1b6f443342871249ccca22e12111e8535f3b36fe30b080a71ce","target":"record","created_at":"2026-05-18T01:21:41Z","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":"2b9bb3f951b5af87aa88a79ab089c8b5c2e0bf538b1eb7065b6f439ed5016355","cross_cats_sorted":["cond-mat.mes-hall","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-01-28T20:59:58Z","title_canon_sha256":"32121672e61659aaaca4cc0d27c058a1440ae4d786cfae528af9f5baa52d25e4"},"schema_version":"1.0","source":{"id":"1601.07902","kind":"arxiv","version":1}},"canonical_sha256":"654795e48ea562b701bf4b37b4c13e104c7fb3abc3c4c651e6e14ef325232b7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"654795e48ea562b701bf4b37b4c13e104c7fb3abc3c4c651e6e14ef325232b7d","first_computed_at":"2026-05-18T01:21:41.519555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:41.519555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fX57mnQ0T0I3mHUODjLP8ENeze5QNh9rDfktg6mIFpqpXNkRiAotGpl138g4Uf3Sje79jfM5s+MTn2CLA27mBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:41.520064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.07902","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1665d3d8a445b1b6f443342871249ccca22e12111e8535f3b36fe30b080a71ce","sha256:e7353ddab383abcd0080428c03dddb79633b0372ec8848a688abab70006b3c50"],"state_sha256":"c10b787cb1e5c9b40920d99a36d10c00d81bb98899e0109f0b1f84154dc8c89e"}