{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DHEDKQMKJS2A3YLAEN756GVSST","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":"6da222e38dd04349152d7e679044b4c327c7eabce0290b09797df66be3d26b58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-06-30T14:17:11Z","title_canon_sha256":"0ddb912a532f980f96dca2f5ee2afd19ce7724b6093e5830a528f6d35a2341de"},"schema_version":"1.0","source":{"id":"1606.09502","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09502","created_at":"2026-05-18T01:02:23Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09502v3","created_at":"2026-05-18T01:02:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09502","created_at":"2026-05-18T01:02:23Z"},{"alias_kind":"pith_short_12","alias_value":"DHEDKQMKJS2A","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DHEDKQMKJS2A3YLA","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DHEDKQMK","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:a4d4db54de42158b399c6e3afe04201b2407a5da6bd530c29b86b1797bea8610","target":"graph","created_at":"2026-05-18T01:02:23Z","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 present results of numerical simulations performed on one-dimensional spin chains in order to extract the so-called relaxation rate $1/T_1$ accessible through NMR experiments. Building on numerical tensor network methods using the Matrix Product States (MPS) formalism, we can follow the non-trivial crossover occurring in critical chains between the high-temperature diffusive classical regime and the low-temperature response described by the Tomonaga-Luttinger liquid (TLL) theory, for which analytical expressions are known. In order to compare analytics and numerics, we focus on a generic sp","authors_text":"Maxime Dupont, Nicolas Laflorencie, Sylvain Capponi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-06-30T14:17:11Z","title":"Temperature dependence of the NMR relaxation rate 1/T_1 for quantum spin chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09502","kind":"arxiv","version":3},"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":"sha256:8be94505936661ba443a44d5f6e6a4636f59308d227b887fcb9abe839f3f0fac","target":"record","created_at":"2026-05-18T01:02:23Z","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":"6da222e38dd04349152d7e679044b4c327c7eabce0290b09797df66be3d26b58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-06-30T14:17:11Z","title_canon_sha256":"0ddb912a532f980f96dca2f5ee2afd19ce7724b6093e5830a528f6d35a2341de"},"schema_version":"1.0","source":{"id":"1606.09502","kind":"arxiv","version":3}},"canonical_sha256":"19c835418a4cb40de160237fdf1ab294f4c3a361707cd01a86243958aec6a684","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19c835418a4cb40de160237fdf1ab294f4c3a361707cd01a86243958aec6a684","first_computed_at":"2026-05-18T01:02:23.537548Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:23.537548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K2eqo+53n67jq874qRM/RN8wKnf4iFK+5pVF3gnej+yORxsISFdNEYcZrE5KHvfuUhqeXE3aNFBt/mkWDZbwDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:23.538179Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.09502","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8be94505936661ba443a44d5f6e6a4636f59308d227b887fcb9abe839f3f0fac","sha256:a4d4db54de42158b399c6e3afe04201b2407a5da6bd530c29b86b1797bea8610"],"state_sha256":"2243587ff9be2e96fc92aadd055183f5ac7df0561912d03fedc808884594cbb8"}