{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:642SM3AJLEVRYI2KR4N5RYI3U2","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":"db57ae189ce3cf78e5eaf0970e5054c67c86ff3cff965e691197c535929215ba","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-12-02T18:59:36Z","title_canon_sha256":"32b279a315dab1463fa4b482cd3475d7cb70f663f173745b182799e336d8acce"},"schema_version":"1.0","source":{"id":"2112.01519","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.01519","created_at":"2026-07-05T08:28:55Z"},{"alias_kind":"arxiv_version","alias_value":"2112.01519v3","created_at":"2026-07-05T08:28:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.01519","created_at":"2026-07-05T08:28:55Z"},{"alias_kind":"pith_short_12","alias_value":"642SM3AJLEVR","created_at":"2026-07-05T08:28:55Z"},{"alias_kind":"pith_short_16","alias_value":"642SM3AJLEVRYI2K","created_at":"2026-07-05T08:28:55Z"},{"alias_kind":"pith_short_8","alias_value":"642SM3AJ","created_at":"2026-07-05T08:28:55Z"}],"graph_snapshots":[{"event_id":"sha256:81d1ab34dab8b9a13aeff12bd9ba606328c06a8ad3e65faa706fefc28d794111","target":"graph","created_at":"2026-07-05T08:28:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2112.01519/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A fundamental distinction between many-body quantum states are those with short- and long-range entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits, underscoring the nonlocal nature of Schr\\\"odinger cat states, topological order, and quantum criticality. Remarkably, examples are known where LRE is obtained by performing single-site measurements on SRE, such as the toric code from measuring a sublattice of a 2D cluster state. However, a systematic understanding of when and how measurements of SRE give rise to LRE is still lacking. Here, we establish that LRE appear","authors_text":"Ashvin Vishwanath, Nathanan Tantivasadakarn, Ruben Verresen, Ryan Thorngren","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-12-02T18:59:36Z","title":"Long-range entanglement from measuring symmetry-protected topological phases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.01519","kind":"arxiv","version":3},"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":"sha256:2cccd6a017c85d019f475db71136a26b9960910b67fd6125e448baa70a11ed2a","target":"record","created_at":"2026-07-05T08:28:55Z","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":"db57ae189ce3cf78e5eaf0970e5054c67c86ff3cff965e691197c535929215ba","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-12-02T18:59:36Z","title_canon_sha256":"32b279a315dab1463fa4b482cd3475d7cb70f663f173745b182799e336d8acce"},"schema_version":"1.0","source":{"id":"2112.01519","kind":"arxiv","version":3}},"canonical_sha256":"f735266c09592b1c234a8f1bd8e11ba6b54779eda6924faa58d36688a2afdea0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f735266c09592b1c234a8f1bd8e11ba6b54779eda6924faa58d36688a2afdea0","first_computed_at":"2026-07-05T08:28:55.530344Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:28:55.530344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bstZZDNGV+No5F8sDTbxm7tpgjsSIRepflosXIBd7fBKrFKIZ8GCGjqoQJKEdTu4BXcSbUo1efS2IQIS4J0HCw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:28:55.530817Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.01519","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cccd6a017c85d019f475db71136a26b9960910b67fd6125e448baa70a11ed2a","sha256:81d1ab34dab8b9a13aeff12bd9ba606328c06a8ad3e65faa706fefc28d794111"],"state_sha256":"3bb9d2baec528d081246f9bb30787d06fa3c3cb3a3c2dde5515b912eebeb9b49"}