{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3VBOZPB5TSXNPI6Q72J6OPFYCR","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":"d7a060bbe732fac98108a8644c99f5dbed34e7290c705293d72e2e3d8c4dbd3a","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-05T21:11:15Z","title_canon_sha256":"d6f38750c0edade7e5e3e2ae38e7789ac34f9972035b5d08401ea9442fe64411"},"schema_version":"1.0","source":{"id":"1405.1074","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1074","created_at":"2026-05-18T01:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1074v2","created_at":"2026-05-18T01:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1074","created_at":"2026-05-18T01:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"3VBOZPB5TSXN","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3VBOZPB5TSXNPI6Q","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3VBOZPB5","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:2fd9b1fa8a60578ed0b30a7613cc0149272779889441291df6138b6e601220f9","target":"graph","created_at":"2026-05-18T01:43:17Z","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 study the Shannon and R\\'enyi mutual information (MI) in the ground state (GS) of different critical quantum spin chains. Despite the apparent basis dependence of these quantities we show the existence of some particular basis (we will call them conformal basis) whose finite-size scaling function is related to the central charge\n  $c$ of the underlying conformal field theory of the model.\n  In particular, we verified that for large index $n$, the MI of a subsystem of size $\\ell$ in a periodic chain with $L$ sites behaves as $\\frac{c}{4}\\frac{n}{n-1}\\ln\\Big{(}\\frac{L}{\\pi}\\sin(\\frac{\\pi \\ell","authors_text":"F. C. Alcaraz, M. A. Rajabpour","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-05T21:11:15Z","title":"Universal behavior of the Shannon and R\\'enyi mutual information of quantum critical chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1074","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":"sha256:05f1c223703e81b10926447e3bd4a52633c8083ba0fd20103576cf56c8d7e1e2","target":"record","created_at":"2026-05-18T01:43:17Z","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":"d7a060bbe732fac98108a8644c99f5dbed34e7290c705293d72e2e3d8c4dbd3a","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-05T21:11:15Z","title_canon_sha256":"d6f38750c0edade7e5e3e2ae38e7789ac34f9972035b5d08401ea9442fe64411"},"schema_version":"1.0","source":{"id":"1405.1074","kind":"arxiv","version":2}},"canonical_sha256":"dd42ecbc3d9caed7a3d0fe93e73cb8145bf05ccce07e0ae598cabaa572e39672","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd42ecbc3d9caed7a3d0fe93e73cb8145bf05ccce07e0ae598cabaa572e39672","first_computed_at":"2026-05-18T01:43:17.581338Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:17.581338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tWQY3Vqyq1aik5JZBkpWOSPqPflXcJ/sJ6VbZRS4/ABygYGG4zKcLsnXIlk9TU5N2FuweOetteANT8Ao6kIODA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:17.582005Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.1074","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05f1c223703e81b10926447e3bd4a52633c8083ba0fd20103576cf56c8d7e1e2","sha256:2fd9b1fa8a60578ed0b30a7613cc0149272779889441291df6138b6e601220f9"],"state_sha256":"970e306bcc51d29a919633d0bd04fd3a9df38707e6f3295546ed17750f02aa2e"}