{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:Q2NRUKAVTO44ZZJ666SLVZ56BQ","short_pith_number":"pith:Q2NRUKAV","schema_version":"1.0","canonical_sha256":"869b1a28159bb9cce53ef7a4bae7be0c1ec72dac6943876484727f2503f4ff8a","source":{"kind":"arxiv","id":"1807.02864","version":2},"attestation_state":"computed","paper":{"title":"Extraction of topological information in Tomonaga-Luttinger liquids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Masaaki Nakamura, Shunsuke C. Furuya","submitted_at":"2018-07-08T18:26:14Z","abstract_excerpt":"We discuss expectation values of the twist operator $U$ appearing in the Lieb-Schultz-Mattis theorem (or the polarization operator for periodic systems) in excited states of the one-dimensional correlated systems $z_L^{(q,\\pm)}\\equiv\\braket{\\Psi_{q/2}^{\\pm}|U^q|\\Psi_{q/2}^{\\pm}}$, where $\\ket{\\Psi_{p}^{\\pm}}$ denotes the excited states given by linear combinations of momentum $2pk_{\\rm F}$ with parity $\\pm 1$. We found that $z_L^{(q,\\pm)}$ gives universal values $\\pm 1/2$ on the Tomonaga-Luttinger (TL) fixed point, and its signs identify the topology of the dominant phases. Therefore, this exp"},"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":"1807.02864","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-07-08T18:26:14Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"2ddbd03a694a57fe1c3d96ace18143003ee7aa36ebee364d85b7cc0fcb84428f","abstract_canon_sha256":"0ea7b08e5bd04807c5729a0bd6e6eec5e4f69cbfbe0a232b554bde2e372cef09"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:30.412775Z","signature_b64":"oxrb4hjEDAk0ZiekrGTcNFsFsb0DDug3RiZFXwVp72Og+sRRQUou7gdO0xYclf10fNGf2pl9xE6mqOwEzwzXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"869b1a28159bb9cce53ef7a4bae7be0c1ec72dac6943876484727f2503f4ff8a","last_reissued_at":"2026-05-17T23:53:30.412161Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:30.412161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extraction of topological information in Tomonaga-Luttinger liquids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Masaaki Nakamura, Shunsuke C. Furuya","submitted_at":"2018-07-08T18:26:14Z","abstract_excerpt":"We discuss expectation values of the twist operator $U$ appearing in the Lieb-Schultz-Mattis theorem (or the polarization operator for periodic systems) in excited states of the one-dimensional correlated systems $z_L^{(q,\\pm)}\\equiv\\braket{\\Psi_{q/2}^{\\pm}|U^q|\\Psi_{q/2}^{\\pm}}$, where $\\ket{\\Psi_{p}^{\\pm}}$ denotes the excited states given by linear combinations of momentum $2pk_{\\rm F}$ with parity $\\pm 1$. We found that $z_L^{(q,\\pm)}$ gives universal values $\\pm 1/2$ on the Tomonaga-Luttinger (TL) fixed point, and its signs identify the topology of the dominant phases. Therefore, this exp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02864","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":""},"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":"1807.02864","created_at":"2026-05-17T23:53:30.412246+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.02864v2","created_at":"2026-05-17T23:53:30.412246+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02864","created_at":"2026-05-17T23:53:30.412246+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q2NRUKAVTO44","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q2NRUKAVTO44ZZJ6","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q2NRUKAV","created_at":"2026-05-18T12:32:46.962924+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/Q2NRUKAVTO44ZZJ666SLVZ56BQ","json":"https://pith.science/pith/Q2NRUKAVTO44ZZJ666SLVZ56BQ.json","graph_json":"https://pith.science/api/pith-number/Q2NRUKAVTO44ZZJ666SLVZ56BQ/graph.json","events_json":"https://pith.science/api/pith-number/Q2NRUKAVTO44ZZJ666SLVZ56BQ/events.json","paper":"https://pith.science/paper/Q2NRUKAV"},"agent_actions":{"view_html":"https://pith.science/pith/Q2NRUKAVTO44ZZJ666SLVZ56BQ","download_json":"https://pith.science/pith/Q2NRUKAVTO44ZZJ666SLVZ56BQ.json","view_paper":"https://pith.science/paper/Q2NRUKAV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.02864&json=true","fetch_graph":"https://pith.science/api/pith-number/Q2NRUKAVTO44ZZJ666SLVZ56BQ/graph.json","fetch_events":"https://pith.science/api/pith-number/Q2NRUKAVTO44ZZJ666SLVZ56BQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q2NRUKAVTO44ZZJ666SLVZ56BQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q2NRUKAVTO44ZZJ666SLVZ56BQ/action/storage_attestation","attest_author":"https://pith.science/pith/Q2NRUKAVTO44ZZJ666SLVZ56BQ/action/author_attestation","sign_citation":"https://pith.science/pith/Q2NRUKAVTO44ZZJ666SLVZ56BQ/action/citation_signature","submit_replication":"https://pith.science/pith/Q2NRUKAVTO44ZZJ666SLVZ56BQ/action/replication_record"}},"created_at":"2026-05-17T23:53:30.412246+00:00","updated_at":"2026-05-17T23:53:30.412246+00:00"}