{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:63JQF7QRHQUSLLJJP7FRMMDP4P","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":"74b6d867d2e812e1c682a2293c3525addedeacdbcdbc6afc410b3f214ec25dc1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-06-20T06:25:53Z","title_canon_sha256":"1d238a15335c8966865b67287786c74162d0d8ba63d2c58b1cc2850bd4126a19"},"schema_version":"1.0","source":{"id":"1906.08457","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.08457","created_at":"2026-07-05T00:59:33Z"},{"alias_kind":"arxiv_version","alias_value":"1906.08457v2","created_at":"2026-07-05T00:59:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.08457","created_at":"2026-07-05T00:59:33Z"},{"alias_kind":"pith_short_12","alias_value":"63JQF7QRHQUS","created_at":"2026-07-05T00:59:33Z"},{"alias_kind":"pith_short_16","alias_value":"63JQF7QRHQUSLLJJ","created_at":"2026-07-05T00:59:33Z"},{"alias_kind":"pith_short_8","alias_value":"63JQF7QR","created_at":"2026-07-05T00:59:33Z"}],"graph_snapshots":[{"event_id":"sha256:b34f4b88f08d0d7ca6dbe741329a54f26246178bc4d8eded1c48f7b74069a513","target":"graph","created_at":"2026-07-05T00:59:33Z","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/1906.08457/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider heat transfer in one-dimensional systems with long-range interactions. It is known that typical short-range interacting systems shows anomalous behavior in heat transport when total momentum is conserved, whereas momentum-nonconserving systems do not exhibit anomaly. In this study, we focus on the effect of long-range interaction. We propose an exactly solvable model that reduces to the so-called momentum-exchange model in the short-range interaction limit. We exactly calculate the asymptotic time-decay in the energy current correlation function, which is related to the thermal con","authors_text":"Keiji Saito, Shuji Tamaki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-06-20T06:25:53Z","title":"Energy current correlation in solvable long-range interacting systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.08457","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:d45729574280efa67e387439e156575f021b751559c3e88fe89f520ae9d4c33d","target":"record","created_at":"2026-07-05T00:59:33Z","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":"74b6d867d2e812e1c682a2293c3525addedeacdbcdbc6afc410b3f214ec25dc1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-06-20T06:25:53Z","title_canon_sha256":"1d238a15335c8966865b67287786c74162d0d8ba63d2c58b1cc2850bd4126a19"},"schema_version":"1.0","source":{"id":"1906.08457","kind":"arxiv","version":2}},"canonical_sha256":"f6d302fe113c2925ad297fcb16306fe3c3ae86ed8b03288e39bae4f5e40a92bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6d302fe113c2925ad297fcb16306fe3c3ae86ed8b03288e39bae4f5e40a92bf","first_computed_at":"2026-07-05T00:59:33.545491Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:59:33.545491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+HwYta5ZsCpL57smvcUCUBH1WGKtWpdgTzFIfFQ264wyEfHfIs9hzIWiGNKv2w5fPYLxqCrrfrYEOmEZPoDJDA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:59:33.545966Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.08457","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d45729574280efa67e387439e156575f021b751559c3e88fe89f520ae9d4c33d","sha256:b34f4b88f08d0d7ca6dbe741329a54f26246178bc4d8eded1c48f7b74069a513"],"state_sha256":"aa2719948ba17f9c7e1468e53583aa158c6991f28604007a0c2ed3c302e224c9"}