{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:AQJ4QE4AOWAHNE3LQAWU76YRV6","short_pith_number":"pith:AQJ4QE4A","schema_version":"1.0","canonical_sha256":"0413c81380758076936b802d4ffb11af83059338bd47ec3ce8eef6042d30f284","source":{"kind":"arxiv","id":"2211.02960","version":2},"attestation_state":"computed","paper":{"title":"Validity of SLAC fermions for the (1 + 1)-dimensional helical Luttinger liquid","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Fakher Assaad, Maksim Ulybyshev, Zhenjiu Wang","submitted_at":"2022-11-05T18:44:02Z","abstract_excerpt":"The Nielson-Ninomiya theorem states that a chirally invariant free fermion lattice action, which is local, translation invariant, and real necessarily has fermion doubling. The SLAC approach gives up on locality and long range hopping leads to a linear dispersion with singularity at the zone boundary. We introduce a SLAC Hamiltonian formulation that is expected to realize a U(1) helical Luttinger liquid in a naive continuum limit. We argue that non-locality and concomitant singularity at the zone edge has important implications. Large momentum transfers yield spurious features already in the n"},"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":"2211.02960","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-11-05T18:44:02Z","cross_cats_sorted":[],"title_canon_sha256":"3bd5576df99ee3b96ad6809487b936de75a5dff42ae582515239243419422d5c","abstract_canon_sha256":"e2bc4e877232744093eba09d642b875569fb85c9fb31a4f0ae49d33482f159bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:32:02.464970Z","signature_b64":"Ho/yBNXQAU+ftt9q5vZXYIhCjQJGGMoLFFGwJtIO23Zud3wnmkwmYJgQ9XvcNu1qmm/BvCOGZ1VXnoJ2wC5RAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0413c81380758076936b802d4ffb11af83059338bd47ec3ce8eef6042d30f284","last_reissued_at":"2026-07-05T06:32:02.464554Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:32:02.464554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Validity of SLAC fermions for the (1 + 1)-dimensional helical Luttinger liquid","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Fakher Assaad, Maksim Ulybyshev, Zhenjiu Wang","submitted_at":"2022-11-05T18:44:02Z","abstract_excerpt":"The Nielson-Ninomiya theorem states that a chirally invariant free fermion lattice action, which is local, translation invariant, and real necessarily has fermion doubling. The SLAC approach gives up on locality and long range hopping leads to a linear dispersion with singularity at the zone boundary. We introduce a SLAC Hamiltonian formulation that is expected to realize a U(1) helical Luttinger liquid in a naive continuum limit. We argue that non-locality and concomitant singularity at the zone edge has important implications. Large momentum transfers yield spurious features already in the n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.02960","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2211.02960/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2211.02960","created_at":"2026-07-05T06:32:02.464611+00:00"},{"alias_kind":"arxiv_version","alias_value":"2211.02960v2","created_at":"2026-07-05T06:32:02.464611+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.02960","created_at":"2026-07-05T06:32:02.464611+00:00"},{"alias_kind":"pith_short_12","alias_value":"AQJ4QE4AOWAH","created_at":"2026-07-05T06:32:02.464611+00:00"},{"alias_kind":"pith_short_16","alias_value":"AQJ4QE4AOWAHNE3L","created_at":"2026-07-05T06:32:02.464611+00:00"},{"alias_kind":"pith_short_8","alias_value":"AQJ4QE4A","created_at":"2026-07-05T06:32:02.464611+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.04861","citing_title":"Quantum algorithm for solving differential equations using SLAC derivatives","ref_index":37,"is_internal_anchor":false},{"citing_arxiv_id":"2605.04861","citing_title":"Quantum algorithm for solving differential equations using SLAC derivatives","ref_index":36,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AQJ4QE4AOWAHNE3LQAWU76YRV6","json":"https://pith.science/pith/AQJ4QE4AOWAHNE3LQAWU76YRV6.json","graph_json":"https://pith.science/api/pith-number/AQJ4QE4AOWAHNE3LQAWU76YRV6/graph.json","events_json":"https://pith.science/api/pith-number/AQJ4QE4AOWAHNE3LQAWU76YRV6/events.json","paper":"https://pith.science/paper/AQJ4QE4A"},"agent_actions":{"view_html":"https://pith.science/pith/AQJ4QE4AOWAHNE3LQAWU76YRV6","download_json":"https://pith.science/pith/AQJ4QE4AOWAHNE3LQAWU76YRV6.json","view_paper":"https://pith.science/paper/AQJ4QE4A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2211.02960&json=true","fetch_graph":"https://pith.science/api/pith-number/AQJ4QE4AOWAHNE3LQAWU76YRV6/graph.json","fetch_events":"https://pith.science/api/pith-number/AQJ4QE4AOWAHNE3LQAWU76YRV6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AQJ4QE4AOWAHNE3LQAWU76YRV6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AQJ4QE4AOWAHNE3LQAWU76YRV6/action/storage_attestation","attest_author":"https://pith.science/pith/AQJ4QE4AOWAHNE3LQAWU76YRV6/action/author_attestation","sign_citation":"https://pith.science/pith/AQJ4QE4AOWAHNE3LQAWU76YRV6/action/citation_signature","submit_replication":"https://pith.science/pith/AQJ4QE4AOWAHNE3LQAWU76YRV6/action/replication_record"}},"created_at":"2026-07-05T06:32:02.464611+00:00","updated_at":"2026-07-05T06:32:02.464611+00:00"}