{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:Q2NXLKSLTAYEPOVWS4WPEPSK6T","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":"3f32a58bb0564ce0957dcc85f3f86f97039739b45af90802da9c9b15fe0daf3a","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-06T14:23:12Z","title_canon_sha256":"51d3ebde76da7c9c1223604f1c08c77e436c74377aa0a13dd48f59f2de2ed679"},"schema_version":"1.0","source":{"id":"1504.01288","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.01288","created_at":"2026-05-18T02:19:34Z"},{"alias_kind":"arxiv_version","alias_value":"1504.01288v1","created_at":"2026-05-18T02:19:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01288","created_at":"2026-05-18T02:19:34Z"},{"alias_kind":"pith_short_12","alias_value":"Q2NXLKSLTAYE","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q2NXLKSLTAYEPOVW","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q2NXLKSL","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:f73cc36e100ad99a2a09b4bd9d5de3bffef2b61e02f102398da70dbf5c20bc1a","target":"graph","created_at":"2026-05-18T02:19:34Z","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 propose a definition of vorticity at inverse temperature \\beta for Gibbs states in quantum XY spin systems on the lattice by testing \\exp[-\\beta H] on a complete set of observables (\"one-point functions\"). We show in particular that it is independent of the choice of a particular basis. Imposing a compression of Pauli matrices at the boudary, which stands for the classical environment, we make some numerical simulations on finite lattices, and exhibit usual vortex patterns.","authors_text":"Dimitri Minenkov, Michel Rouleux","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-06T14:23:12Z","title":"Quantum vorticity at thermal equilibrium for spins systems with continuous symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01288","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:f55a27d60f8c71fe575ef1f02dd84cfd4463cdc679388bfa8a47cdc2c71ce900","target":"record","created_at":"2026-05-18T02:19:34Z","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":"3f32a58bb0564ce0957dcc85f3f86f97039739b45af90802da9c9b15fe0daf3a","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-06T14:23:12Z","title_canon_sha256":"51d3ebde76da7c9c1223604f1c08c77e436c74377aa0a13dd48f59f2de2ed679"},"schema_version":"1.0","source":{"id":"1504.01288","kind":"arxiv","version":1}},"canonical_sha256":"869b75aa4b983047bab6972cf23e4af4e2bd6e7f44e3a925e7accf0622efe854","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"869b75aa4b983047bab6972cf23e4af4e2bd6e7f44e3a925e7accf0622efe854","first_computed_at":"2026-05-18T02:19:34.718919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:34.718919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rbhJC0no2ZX6VnOsFJy7NoZlFO8p3hgwIvz55uPpF8Wlus0W4ChX8fT0aoyY4mk+pcOlWq5LDDCGoFEfttSJCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:34.719627Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.01288","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f55a27d60f8c71fe575ef1f02dd84cfd4463cdc679388bfa8a47cdc2c71ce900","sha256:f73cc36e100ad99a2a09b4bd9d5de3bffef2b61e02f102398da70dbf5c20bc1a"],"state_sha256":"152b1580bfb75fb240b09ad008f4312f692282c3872709464fbe7684c44c2ac5"}