{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:U5WLUN43VIWPKM2GCNZAS3DCI3","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":"6a7d890d642eb6c95cc758014aec7d4c6fa7db1ab6716e62f45d37962ad8d54e","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-31T08:50:29Z","title_canon_sha256":"1da10e90b173025d644d9a732361efdd793719636e6786f39a78ba2ad631e792"},"schema_version":"1.0","source":{"id":"0908.4278","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.4278","created_at":"2026-05-18T04:24:27Z"},{"alias_kind":"arxiv_version","alias_value":"0908.4278v2","created_at":"2026-05-18T04:24:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.4278","created_at":"2026-05-18T04:24:27Z"},{"alias_kind":"pith_short_12","alias_value":"U5WLUN43VIWP","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"U5WLUN43VIWPKM2G","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"U5WLUN43","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:53e55b4e1f73e1c8a968ac78980d638348aa71b878e8edef9068a477374c6cc2","target":"graph","created_at":"2026-05-18T04:24:27Z","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 argue that the world-sheet dynamics of magnetic k-strings in the Higgs phase of the mass-deformed N=4 theory, is controlled by a bosonic O(3) sigma model with anisotropy and a topological theta term. The theory interpolates between a massless O(2) symmetric regime, a massive O(3) symmetric phase and another massive phase with a spontaneously broken Z_2 symmetry. The first two phases are separated by a Kosterlitz-Thouless transition. When \\theta = \\pi the O(3) symmetric phase flows to an interacting fixed point; sigma model kinks and their dyonic partners become degenerate, mirroring the beh","authors_text":"Roberto Auzzi, S. Prem Kumar","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-31T08:50:29Z","title":"Quantum Phases of a Vortex String"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.4278","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":"sha256:1ea7ec1803f6df9a81153c1ed35c2eb4d48843016cde026f97073007e8140ee0","target":"record","created_at":"2026-05-18T04:24:27Z","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":"6a7d890d642eb6c95cc758014aec7d4c6fa7db1ab6716e62f45d37962ad8d54e","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-31T08:50:29Z","title_canon_sha256":"1da10e90b173025d644d9a732361efdd793719636e6786f39a78ba2ad631e792"},"schema_version":"1.0","source":{"id":"0908.4278","kind":"arxiv","version":2}},"canonical_sha256":"a76cba379baa2cf533461372096c6246e97e2a9a85e6396a5323def47273a5e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a76cba379baa2cf533461372096c6246e97e2a9a85e6396a5323def47273a5e1","first_computed_at":"2026-05-18T04:24:27.794611Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:27.794611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eAzYzUUzWYYMbQos08n2I9HMiGKfW6yuBkBD6RzcaAPb++ICILSyRfyaXWdvgnkxCFXtCzGPjQeROvbZCPKZDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:27.795237Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.4278","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ea7ec1803f6df9a81153c1ed35c2eb4d48843016cde026f97073007e8140ee0","sha256:53e55b4e1f73e1c8a968ac78980d638348aa71b878e8edef9068a477374c6cc2"],"state_sha256":"4f9c01e43301bf2a573fd509e8544e9d18768c892809a7455f6613808a9e0be6"}