{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:VHV3HI2NEVNM7YNIVI5BSVFDKE","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":"c909d5878e1f1a0391879fc259c8244b8c959a653c7d3284bf385d8fa2fc03de","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-03-03T19:00:37Z","title_canon_sha256":"41e8961b2fcf916d9edd80e33d00ae52f29b576c66682e7f5220c24e19806987"},"schema_version":"1.0","source":{"id":"2503.01977","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.01977","created_at":"2026-07-05T10:54:44Z"},{"alias_kind":"arxiv_version","alias_value":"2503.01977v2","created_at":"2026-07-05T10:54:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.01977","created_at":"2026-07-05T10:54:44Z"},{"alias_kind":"pith_short_12","alias_value":"VHV3HI2NEVNM","created_at":"2026-07-05T10:54:44Z"},{"alias_kind":"pith_short_16","alias_value":"VHV3HI2NEVNM7YNI","created_at":"2026-07-05T10:54:44Z"},{"alias_kind":"pith_short_8","alias_value":"VHV3HI2N","created_at":"2026-07-05T10:54:44Z"}],"graph_snapshots":[{"event_id":"sha256:e2abafb7b0b0f2791353de4fb31100fb2153817a37f536a46c9eb07fcf3d402f","target":"graph","created_at":"2026-07-05T10:54:44Z","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/2503.01977/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is well known that an exponentially localized Hamiltonian must be gapless if its ground state has algebraic correlations. We show that even certain exponentially decaying correlations can imply gaplessness. This is exemplified by the deformed toric code $\\propto \\exp(\\beta \\sum_{\\ell} Z_{\\ell}) |\\mathsf{TC}\\rangle$, where $|\\mathsf{TC}\\rangle$ is a fixed-point toric code wavefunction. Although it has a confined regime for $\\beta > \\beta_c$, recent work has drawn attention to its perimeter law loop correlations. Here, we show that these unusual loop correlations -- namely, perimeter law coex","authors_text":"Carolyn Zhang, Curt von Keyserlingk, Rahul Sahay, Ruben Verresen","cross_cats":["cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-03-03T19:00:37Z","title":"Enforced Gaplessness from States with Exponentially Decaying Correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.01977","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:f9dc0875987c57c12c5f18561a5e86d542231aa1fa8a196d5f8d7df48e8395e6","target":"record","created_at":"2026-07-05T10:54:44Z","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":"c909d5878e1f1a0391879fc259c8244b8c959a653c7d3284bf385d8fa2fc03de","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-03-03T19:00:37Z","title_canon_sha256":"41e8961b2fcf916d9edd80e33d00ae52f29b576c66682e7f5220c24e19806987"},"schema_version":"1.0","source":{"id":"2503.01977","kind":"arxiv","version":2}},"canonical_sha256":"a9ebb3a34d255acfe1a8aa3a1954a35124bc1108020e79cf9ca19895401a6be0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9ebb3a34d255acfe1a8aa3a1954a35124bc1108020e79cf9ca19895401a6be0","first_computed_at":"2026-07-05T10:54:44.348598Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:54:44.348598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cYQQtpYduKWtj6XOY6peJw2upjHhx6J5V1tumobli9JcRa8SlJmUMZP/5jlA6soJ980zHcJfKoPDzHm9QpsHCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:54:44.349108Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.01977","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9dc0875987c57c12c5f18561a5e86d542231aa1fa8a196d5f8d7df48e8395e6","sha256:e2abafb7b0b0f2791353de4fb31100fb2153817a37f536a46c9eb07fcf3d402f"],"state_sha256":"0fafdec1a0006d56011fda24570e51e7243c08f4973abce4ab65ea88fe9123a4"}