{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7HSMKQOBXT77PRDTMF7W33IWST","merge_version":"pith-open-graph-merge-v1","event_count":4,"valid_event_count":4,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"185688aa5dfded2559549de3e591f9115b04861cf769192ec5b72dcc27c68f25","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-21T12:43:23Z","title_canon_sha256":"94f3e5463c3386848615f2d6e6a6b091af5e5b8f582fc58ebacfaca5bde6b48d"},"schema_version":"1.0","source":{"id":"2605.22424","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.22424","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"2605.22424v1","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22424","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"7HSMKQOBXT77","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_16","alias_value":"7HSMKQOBXT77PRDT","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_8","alias_value":"7HSMKQOB","created_at":"2026-05-22T01:04:42Z"}],"graph_snapshots":[{"event_id":"sha256:ebb52a1ff5c93e5d1433452df1ad91a627685ef5ca79c2c40d14d90cd5384f6a","target":"graph","created_at":"2026-05-22T01:04:42Z","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/2605.22424/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study long-range nonstabilizerness (LRN), namely the obstruction to remove nonstabilizerness with shallow-depth local quantum circuits. In one-dimensional settings, the mutual information between disconnected spatial regions has proven to be a powerful tool to diagnose LRN. In this work, we focus on encoded states of two-dimensional topologically-ordered systems, and explore the ability of the mutual information to serve as a diagnostic of LRN. Focusing on the concrete setting of lattice models defined on a torus, we show that information about LRN can be gained from the analysis of the mut","authors_text":"David Aram Korbany, David T. Stephen, Lorenzo Piroli, Tyler D. Ellison","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-21T12:43:23Z","title":"Long-range nonstabilizerness of topologically encoded states from mutual information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22424","kind":"arxiv","version":1},"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":"sha256:0089fc76db9bfd1a42fc3cadc5e55f865544c11bfac69c08b4369056576e0822","target":"record","created_at":"2026-05-22T01:04:42Z","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":"185688aa5dfded2559549de3e591f9115b04861cf769192ec5b72dcc27c68f25","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-21T12:43:23Z","title_canon_sha256":"94f3e5463c3386848615f2d6e6a6b091af5e5b8f582fc58ebacfaca5bde6b48d"},"schema_version":"1.0","source":{"id":"2605.22424","kind":"arxiv","version":1}},"canonical_sha256":"f9e4c541c1bcfff7c473617f6ded1694d731fcfed3bfd269d5b2172433466728","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9e4c541c1bcfff7c473617f6ded1694d731fcfed3bfd269d5b2172433466728","first_computed_at":"2026-05-22T01:04:42.542180Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:04:42.542180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hnX/coK2cxgC7r7mMTIaXLqOAwiGOUL0Pr6TEnaSenpjxD5m+W+iPU8YLBD4TSNb/Wo9MVwBS8zICsQRjYK5Bw==","signature_status":"signed_v1","signed_at":"2026-05-22T01:04:42.542708Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.22424","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:317d371046a1e3ba643b26c7bed8fdeb6e98c03f28692a7ab5119b284830e990","sha256:80e87c4a73bb9d120ad9245572d39086b462f11fca52f4a888cdbac02fc2c120"]}],"invalid_events":[],"applied_event_ids":["sha256:0089fc76db9bfd1a42fc3cadc5e55f865544c11bfac69c08b4369056576e0822","sha256:ebb52a1ff5c93e5d1433452df1ad91a627685ef5ca79c2c40d14d90cd5384f6a"],"state_sha256":"d87d505f0972f3b80a2bcc39a2161adc5432dccb1fc8f231e633c9f34bf12980"}