{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:C7MSABNZV3SGGORGFDXBRGZXMI","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":"8c218945528177e8c06564f16ec9002b65989943676ec0d5b92b341ac210f8a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-02-16T19:34:33Z","title_canon_sha256":"de1bade768be430627b1fea3511f054e66a3cfe8c45f131029b6641ca347d783"},"schema_version":"1.0","source":{"id":"1902.06142","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.06142","created_at":"2026-07-04T23:51:20Z"},{"alias_kind":"arxiv_version","alias_value":"1902.06142v2","created_at":"2026-07-04T23:51:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.06142","created_at":"2026-07-04T23:51:20Z"},{"alias_kind":"pith_short_12","alias_value":"C7MSABNZV3SG","created_at":"2026-07-04T23:51:20Z"},{"alias_kind":"pith_short_16","alias_value":"C7MSABNZV3SGGORG","created_at":"2026-07-04T23:51:20Z"},{"alias_kind":"pith_short_8","alias_value":"C7MSABNZ","created_at":"2026-07-04T23:51:20Z"}],"graph_snapshots":[{"event_id":"sha256:acae21bc504a3ccac6addde3b533084b69e57784167bd8b58ca2f7d506538490","target":"graph","created_at":"2026-07-04T23:51:20Z","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/1902.06142/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The study of the phase ordering kinetics of the ferromagnetic one-dimensional Ising model dates back to 1963 for non conserved order parameter (NCOP) and to 1991 for conserved order parameter (COP). The case of long range interactions $J(r)$ has been widely studied at equilibrium but their effect on relaxation is a much less investigated field. Here we make a detailed numerical and analytical study of both cases, NCOP and COP. Many results are valid for any positive, decreasing coupling $J(r)$, but we focus specifically on the exponential case, $J_{exp}(r)=e^{-r/R}$ with varying $R>0$, and on ","authors_text":"Eugenio Lippiello, Federico Corberi, Paolo Politi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-02-16T19:34:33Z","title":"One dimensional phase-ordering in the Ising model with space decaying interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.06142","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:ac9fbebde4f2bd5ecd8a13a6bec9475d5b3119e8a7c53eba30c7ac331c477fdd","target":"record","created_at":"2026-07-04T23:51:20Z","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":"8c218945528177e8c06564f16ec9002b65989943676ec0d5b92b341ac210f8a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-02-16T19:34:33Z","title_canon_sha256":"de1bade768be430627b1fea3511f054e66a3cfe8c45f131029b6641ca347d783"},"schema_version":"1.0","source":{"id":"1902.06142","kind":"arxiv","version":2}},"canonical_sha256":"17d92005b9aee4633a2628ee189b376223ef1aac24fd4cbb8c08bc7f336f7f1b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17d92005b9aee4633a2628ee189b376223ef1aac24fd4cbb8c08bc7f336f7f1b","first_computed_at":"2026-07-04T23:51:20.918973Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:51:20.918973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q/WUX8odnVXWEzNtxgJmICGiZQvxYT4A+zOfv0F81E1hKazQy08eLegoqmYBkHTvPidLjgx5mXX8/AUgE5NlCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T23:51:20.919509Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.06142","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac9fbebde4f2bd5ecd8a13a6bec9475d5b3119e8a7c53eba30c7ac331c477fdd","sha256:acae21bc504a3ccac6addde3b533084b69e57784167bd8b58ca2f7d506538490"],"state_sha256":"cbbed13c3ed5be13e3febfa4794aab1f8b77af620dad4c6ea85a2b09835a5635"}