{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:UELRZQCVQFTH522M5YMMRUAWIE","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":"d2da12434df0aa2b6c1052ff87e09de6f12cd60b93eaa227b6066cdb88195ee6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-11-10T10:45:01Z","title_canon_sha256":"daffb5db868de07e96defd369d4ab307c0780de292b2078e8102634daadb22f3"},"schema_version":"1.0","source":{"id":"2011.05030","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.05030","created_at":"2026-07-05T02:08:13Z"},{"alias_kind":"arxiv_version","alias_value":"2011.05030v2","created_at":"2026-07-05T02:08:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.05030","created_at":"2026-07-05T02:08:13Z"},{"alias_kind":"pith_short_12","alias_value":"UELRZQCVQFTH","created_at":"2026-07-05T02:08:13Z"},{"alias_kind":"pith_short_16","alias_value":"UELRZQCVQFTH522M","created_at":"2026-07-05T02:08:13Z"},{"alias_kind":"pith_short_8","alias_value":"UELRZQCV","created_at":"2026-07-05T02:08:13Z"}],"graph_snapshots":[{"event_id":"sha256:b14ef661250d1cc841de9f8a0a99e410369f14742d807e2c3dcceeeb6a128d58","target":"graph","created_at":"2026-07-05T02:08:13Z","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/2011.05030/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the low-temperature domain growth kinetics of the two-dimensional Ising model with long-range coupling: $J(r) \\sim r^{-(d+\\sigma)}$, where $d=2$ is the dimensionality. According to the Bray-Rutenberg predictions, the exponent $\\sigma$ controls the algebraic growth in time of the characteristic domain size $L(t)$, $L(t) \\sim t^{1/z}$, with growth exponent $z=1+\\sigma$ for $\\sigma <1$ and $z=2$ for $\\sigma >1$. These results hold for quenches to a non-zero temperature $T>0$ below the critical temperature $T_c$. We show that, in the case of quenches to $T=0$, due to the long-range intera","authors_text":"Eugenio Lippiello, Federico Corberi, Paolo Politi, Ramgopal Agrawal, Sanjay Puri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-11-10T10:45:01Z","title":"Kinetics of the Two-dimensional Long-range Ising Model at Low Temperatures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.05030","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:fd9716c0bfbc5ff127d8cfc6ae64e583063323933fa1a22ee346b11c36b8a58d","target":"record","created_at":"2026-07-05T02:08:13Z","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":"d2da12434df0aa2b6c1052ff87e09de6f12cd60b93eaa227b6066cdb88195ee6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-11-10T10:45:01Z","title_canon_sha256":"daffb5db868de07e96defd369d4ab307c0780de292b2078e8102634daadb22f3"},"schema_version":"1.0","source":{"id":"2011.05030","kind":"arxiv","version":2}},"canonical_sha256":"a1171cc05581667eeb4cee18c8d016413fbe130b4b6c6e00e66a8e7df9b14d48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1171cc05581667eeb4cee18c8d016413fbe130b4b6c6e00e66a8e7df9b14d48","first_computed_at":"2026-07-05T02:08:13.501028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:08:13.501028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EMn5df12ijXeU4SgcWpSF7Ce8Ydt3LFJccXiN6piREQneeYB5MXJtK32CXVQBcpk8B10J3jEpPJM8X7C1h7OBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:08:13.501523Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.05030","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd9716c0bfbc5ff127d8cfc6ae64e583063323933fa1a22ee346b11c36b8a58d","sha256:b14ef661250d1cc841de9f8a0a99e410369f14742d807e2c3dcceeeb6a128d58"],"state_sha256":"1ad35d0e4f3aac6a8880be8b3ebcc5b49707305d60443619c460f68a0c9fb440"}