{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:ELS7G7VP5FC75QKDZKGNQI2S5Q","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":"8d4a1c7ad954d10a11d75890584f93ee78c3a120578b0e2fc169d8ac044c86fa","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2006-09-04T17:00:14Z","title_canon_sha256":"ab042e2e3c8c809d91ae22805149885e5b2ecaf6a48b8a2f95f59c7a6edbd8b6"},"schema_version":"1.0","source":{"id":"cond-mat/0609051","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0609051","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0609051v2","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0609051","created_at":"2026-05-18T03:24:31Z"},{"alias_kind":"pith_short_12","alias_value":"ELS7G7VP5FC7","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"ELS7G7VP5FC75QKD","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"ELS7G7VP","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:af67ed6efeaece243398dd1fa114b592f9ba7e0617f973457475bf67986277e9","target":"graph","created_at":"2026-05-18T03:24:31Z","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":"The ground state of spin-1 Haldane chains is characterized by the so-called string order. We show that the same hidden order is also present in ordinary one-dimensional band insulators. We construct a family of Hamiltonians which connects adiabatically band insulators to two topologically non-equivalent spin models, the Haldane chain and the antiferromagnetic spin-1/2 ladder. We observe that the localized spin-1/2 edge-state characteristic of spin-1 chains is smoothly connected to a surface-bound state of band insulators and its emergence is not related to any bulk phase transition. Furthermor","authors_text":"A. Rosch, F. Anfuso","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.str-el","submitted_at":"2006-09-04T17:00:14Z","title":"String order and adiabatic continuity of Haldane chains and band insulators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0609051","kind":"arxiv","version":2},"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":"sha256:6ac6192d4a8b79c46c5d09da4d11aedd479d73851abd6be0f7ab9933386191c3","target":"record","created_at":"2026-05-18T03:24:31Z","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":"8d4a1c7ad954d10a11d75890584f93ee78c3a120578b0e2fc169d8ac044c86fa","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2006-09-04T17:00:14Z","title_canon_sha256":"ab042e2e3c8c809d91ae22805149885e5b2ecaf6a48b8a2f95f59c7a6edbd8b6"},"schema_version":"1.0","source":{"id":"cond-mat/0609051","kind":"arxiv","version":2}},"canonical_sha256":"22e5f37eafe945fec143ca8cd82352ec3c538e356af7bbeb98eab66818ab823d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22e5f37eafe945fec143ca8cd82352ec3c538e356af7bbeb98eab66818ab823d","first_computed_at":"2026-05-18T03:24:31.176596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:31.176596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"im4OWSqJrGlm3tlaadMiEtPUtpPo6e/97EEbG3ubGfCPwJBomQ5KZ8tc5zvAKzLC1Y6+JjsoSQxnOrfZq6teCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:31.177249Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0609051","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ac6192d4a8b79c46c5d09da4d11aedd479d73851abd6be0f7ab9933386191c3","sha256:af67ed6efeaece243398dd1fa114b592f9ba7e0617f973457475bf67986277e9"],"state_sha256":"6204abc133c00182f220f01c382e3e4ee7976700d40388ebaf19aaa80b0a5eb9"}