{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5AWW2Q4EVAH4OZNN2O3FFMNRAO","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":"df22b35ef8d9a4ba7b8a2f82e1dac86636db90fb2a689a8b88bf0560416b6f9e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-03-04T21:05:21Z","title_canon_sha256":"56dbc547949f92da2fe97da8bf63c0d5ce873a25666adc60345a5a06a74dca55"},"schema_version":"1.0","source":{"id":"1303.0851","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0851","created_at":"2026-05-18T03:03:56Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0851v1","created_at":"2026-05-18T03:03:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0851","created_at":"2026-05-18T03:03:56Z"},{"alias_kind":"pith_short_12","alias_value":"5AWW2Q4EVAH4","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5AWW2Q4EVAH4OZNN","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5AWW2Q4E","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:cfec1b297f9728557f5862f46d14c20e2caf6f70836eaf523543aaee54d449a6","target":"graph","created_at":"2026-05-18T03:03:56Z","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":"We study the phase diagrams of a family of 3D \"Walker-Wang\" type lattice models, which are not topologically ordered but have deconfined anyonic excitations confined to their surfaces. We add a perturbation (analogous to that which drives the confining transition in Z_p lattice gauge theories) to the Walker-Wang Hamiltonians, driving a transition in which all or some of the variables associated with the loop gas or string-net ground states of these models become confined. We show that in many cases the location and nature of the phase transitions involved is exactly that of a generalized Z_p l","authors_text":"C.W. von Keyserlingk, F.J. Burnell, S.H. Simon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-03-04T21:05:21Z","title":"Phase transitions in three-dimensional topological lattice models with surface anyons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0851","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":"sha256:866ce0647dfef3cae36884fdfc230f588778a6bc22e8b74c75eb2125e1aafb18","target":"record","created_at":"2026-05-18T03:03:56Z","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":"df22b35ef8d9a4ba7b8a2f82e1dac86636db90fb2a689a8b88bf0560416b6f9e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-03-04T21:05:21Z","title_canon_sha256":"56dbc547949f92da2fe97da8bf63c0d5ce873a25666adc60345a5a06a74dca55"},"schema_version":"1.0","source":{"id":"1303.0851","kind":"arxiv","version":1}},"canonical_sha256":"e82d6d4384a80fc765add3b652b1b1038de561a3c192615beedd37cfe0ae0408","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e82d6d4384a80fc765add3b652b1b1038de561a3c192615beedd37cfe0ae0408","first_computed_at":"2026-05-18T03:03:56.847603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:56.847603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nPc/yN1cpoSRT4zbRLjrsf8gYkbEM2ALqhZ1ihl35nVCH2ExGlNXZRuZikxzJEEI/NbUOj5bS95yRDMahGJTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:56.848265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.0851","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:866ce0647dfef3cae36884fdfc230f588778a6bc22e8b74c75eb2125e1aafb18","sha256:cfec1b297f9728557f5862f46d14c20e2caf6f70836eaf523543aaee54d449a6"],"state_sha256":"37c3d815e8bcdcd2f289df076ce4e14b4c06863c26006a50e136e890f0fc9cd8"}