{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:HSR7CIBKMUVILXLVGG2E3HAZIJ","short_pith_number":"pith:HSR7CIBK","schema_version":"1.0","canonical_sha256":"3ca3f1202a652a85dd7531b44d9c19425746eb92b16c227447ed480c44775052","source":{"kind":"arxiv","id":"1705.03892","version":2},"attestation_state":"computed","paper":{"title":"Anomaly Manifestation of Lieb-Schultz-Mattis Theorem and Topological Phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Chang-Tse Hsieh, Gil Young Cho, Shinsei Ryu","submitted_at":"2017-05-10T18:00:04Z","abstract_excerpt":"The Lieb-Schultz-Mattis (LSM) theorem dictates that emergent low-energy states from a lattice model cannot be a trivial symmetric insulator if the filling per unit cell is not integral and if the lattice translation symmetry and particle number conservation are strictly imposed. In this paper, we compare the one-dimensional gapless states enforced by the LSM theorem and the boundaries of one-higher dimensional strong symmetry-protected topological (SPT) phases from the perspective of quantum anomalies. We first note that, they can be both described by the same low-energy effective field theory"},"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":"1705.03892","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-10T18:00:04Z","cross_cats_sorted":["cond-mat.mes-hall","hep-th"],"title_canon_sha256":"6b7cf5bc95b0244c0f8e1858e8d52a8a457c156332ecc752ef4b90764de8b231","abstract_canon_sha256":"a5b9e8a67dc8ed920b6b8b9d16c12e56bcc58ddef6ed899f0e68a29b527d3d90"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:04.491422Z","signature_b64":"t5g/zOgIRyYBzHJ/26uUmqfh4v06BxhgJgYGrdSQhFwkBAD5Syxyllu+fyJL+P9a9vCq6Rk2meHOulHMDdwgAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ca3f1202a652a85dd7531b44d9c19425746eb92b16c227447ed480c44775052","last_reissued_at":"2026-05-18T00:30:04.490850Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:04.490850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Anomaly Manifestation of Lieb-Schultz-Mattis Theorem and Topological Phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Chang-Tse Hsieh, Gil Young Cho, Shinsei Ryu","submitted_at":"2017-05-10T18:00:04Z","abstract_excerpt":"The Lieb-Schultz-Mattis (LSM) theorem dictates that emergent low-energy states from a lattice model cannot be a trivial symmetric insulator if the filling per unit cell is not integral and if the lattice translation symmetry and particle number conservation are strictly imposed. In this paper, we compare the one-dimensional gapless states enforced by the LSM theorem and the boundaries of one-higher dimensional strong symmetry-protected topological (SPT) phases from the perspective of quantum anomalies. We first note that, they can be both described by the same low-energy effective field theory"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03892","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":"1705.03892","created_at":"2026-05-18T00:30:04.490933+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.03892v2","created_at":"2026-05-18T00:30:04.490933+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03892","created_at":"2026-05-18T00:30:04.490933+00:00"},{"alias_kind":"pith_short_12","alias_value":"HSR7CIBKMUVI","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"HSR7CIBKMUVILXLV","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"HSR7CIBK","created_at":"2026-05-18T12:31:18.294218+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing bulk properties of gapped phases by smeared boundary conformal field theories: Role of duality in unusual ordering","ref_index":30,"is_internal_anchor":true},{"citing_arxiv_id":"2506.23155","citing_title":"Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders","ref_index":67,"is_internal_anchor":true},{"citing_arxiv_id":"2511.11059","citing_title":"Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls","ref_index":252,"is_internal_anchor":true},{"citing_arxiv_id":"2601.01191","citing_title":"Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions","ref_index":9,"is_internal_anchor":true},{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing bulk properties of gapped phases by smeared boundary conformal field theories: Role of duality in unusual ordering","ref_index":30,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HSR7CIBKMUVILXLVGG2E3HAZIJ","json":"https://pith.science/pith/HSR7CIBKMUVILXLVGG2E3HAZIJ.json","graph_json":"https://pith.science/api/pith-number/HSR7CIBKMUVILXLVGG2E3HAZIJ/graph.json","events_json":"https://pith.science/api/pith-number/HSR7CIBKMUVILXLVGG2E3HAZIJ/events.json","paper":"https://pith.science/paper/HSR7CIBK"},"agent_actions":{"view_html":"https://pith.science/pith/HSR7CIBKMUVILXLVGG2E3HAZIJ","download_json":"https://pith.science/pith/HSR7CIBKMUVILXLVGG2E3HAZIJ.json","view_paper":"https://pith.science/paper/HSR7CIBK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.03892&json=true","fetch_graph":"https://pith.science/api/pith-number/HSR7CIBKMUVILXLVGG2E3HAZIJ/graph.json","fetch_events":"https://pith.science/api/pith-number/HSR7CIBKMUVILXLVGG2E3HAZIJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HSR7CIBKMUVILXLVGG2E3HAZIJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HSR7CIBKMUVILXLVGG2E3HAZIJ/action/storage_attestation","attest_author":"https://pith.science/pith/HSR7CIBKMUVILXLVGG2E3HAZIJ/action/author_attestation","sign_citation":"https://pith.science/pith/HSR7CIBKMUVILXLVGG2E3HAZIJ/action/citation_signature","submit_replication":"https://pith.science/pith/HSR7CIBKMUVILXLVGG2E3HAZIJ/action/replication_record"}},"created_at":"2026-05-18T00:30:04.490933+00:00","updated_at":"2026-05-18T00:30:04.490933+00:00"}