{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:ZH6MWOO56GMLPYIGYECY325XIC","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":"453fb74a9a03707f1cc706eda1cfd6361d1e6da1cf64e9994de370bf91d74fac","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"1999-12-14T11:54:51Z","title_canon_sha256":"7b922c3fc45ac71c9d751e6e0283faaf259411bb45a7d79e132c7cb3066425d7"},"schema_version":"1.0","source":{"id":"cond-mat/9912241","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9912241","created_at":"2026-05-18T03:26:21Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9912241v1","created_at":"2026-05-18T03:26:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9912241","created_at":"2026-05-18T03:26:21Z"},{"alias_kind":"pith_short_12","alias_value":"ZH6MWOO56GML","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ZH6MWOO56GMLPYIG","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ZH6MWOO5","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:479562d8787a17c1a6a2fd8599b45a2ac05438f388d48d583885110ee3768796","target":"graph","created_at":"2026-05-18T03:26:21Z","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":"The effect of damping of spinwaves in a two-dimensional classical ferromagnetic XY model is considered. The damping rate $\\Gamma_{q}$ is calculated using the leading diagrams due to the quartic-order deviations from the harmonic spin Hamiltonian. The resulting four-dimensional integrals are evaluated by extending the techniques developed by Gilat and others for spectral density types of integrals. $\\Gamma_{q}$ is included into the memory function formalism due to Reiter and Solander, and Menezes, to determine the dynamic structure function $S(q,\\omega)$. For the infinite sized system, the memo","authors_text":"A.S.T. Pires, G.M. Wysin, M.E. Gouvea","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"1999-12-14T11:54:51Z","title":"Spinwave damping in the two-dimensional ferromagnetic XY model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9912241","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":"sha256:943246cbba65671e68c93833dfd3239db9dd5d82636bd405f4ddfaa1e222f91b","target":"record","created_at":"2026-05-18T03:26:21Z","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":"453fb74a9a03707f1cc706eda1cfd6361d1e6da1cf64e9994de370bf91d74fac","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"1999-12-14T11:54:51Z","title_canon_sha256":"7b922c3fc45ac71c9d751e6e0283faaf259411bb45a7d79e132c7cb3066425d7"},"schema_version":"1.0","source":{"id":"cond-mat/9912241","kind":"arxiv","version":1}},"canonical_sha256":"c9fccb39ddf198b7e106c1058debb740a9a8700bd99291c6c2f049f1bc249355","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9fccb39ddf198b7e106c1058debb740a9a8700bd99291c6c2f049f1bc249355","first_computed_at":"2026-05-18T03:26:21.118445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:21.118445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lqCLB20x93K3da7yHp0K0ab3hSCzN/Z7/GEmz7dpKL7uUZQDg33xJss/RD5/mU/4hlMH5I8hfjloHVoOhIUYAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:21.119037Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9912241","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:943246cbba65671e68c93833dfd3239db9dd5d82636bd405f4ddfaa1e222f91b","sha256:479562d8787a17c1a6a2fd8599b45a2ac05438f388d48d583885110ee3768796"],"state_sha256":"1613c27e80c87b004b9a9da3d0b4fba41a605862e12edc035e91d2f492f3acc9"}