{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:BYB35OZFEJZ66JUVOLNCQMVQFQ","short_pith_number":"pith:BYB35OZF","canonical_record":{"source":{"id":"1101.0430","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-02T21:00:02Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"9854a998c648ec1611d7a01932be5bc23caea8176a998532591c8168195da48a","abstract_canon_sha256":"519d03762fb87822ab969ed2269ecf6029f66c581b389ff184c8d42726c6ce4f"},"schema_version":"1.0"},"canonical_sha256":"0e03bebb252273ef269572da2832b02c139dcb2969549c17b749d69467674fbe","source":{"kind":"arxiv","id":"1101.0430","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.0430","created_at":"2026-05-18T04:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1101.0430v2","created_at":"2026-05-18T04:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.0430","created_at":"2026-05-18T04:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"BYB35OZFEJZ6","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BYB35OZFEJZ66JUV","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BYB35OZF","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:BYB35OZFEJZ66JUVOLNCQMVQFQ","target":"record","payload":{"canonical_record":{"source":{"id":"1101.0430","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-02T21:00:02Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"9854a998c648ec1611d7a01932be5bc23caea8176a998532591c8168195da48a","abstract_canon_sha256":"519d03762fb87822ab969ed2269ecf6029f66c581b389ff184c8d42726c6ce4f"},"schema_version":"1.0"},"canonical_sha256":"0e03bebb252273ef269572da2832b02c139dcb2969549c17b749d69467674fbe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:25:25.528547Z","signature_b64":"+Xhg9MzcLocIKp0k4YxQVM9BEOxmPYSSMu+tPDnvNu0jIvzwNMuhnjMBWGeSkw3NNg5TcynEukwb3DI0C98xAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e03bebb252273ef269572da2832b02c139dcb2969549c17b749d69467674fbe","last_reissued_at":"2026-05-18T04:25:25.527731Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:25:25.527731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.0430","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:25:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cyolG2yb9iN3Xgs1dX6fn9P9EB6bP1z3iAPLUTS0QqQt+VwdAdBoHDiE2lt+2aNbzpD7wuJp8dEeUu8Ni/P5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T06:12:41.178152Z"},"content_sha256":"cb862d8dd57a098a4234abdbe04bac9d5e733e8451febb530b5c924386f9efd2","schema_version":"1.0","event_id":"sha256:cb862d8dd57a098a4234abdbe04bac9d5e733e8451febb530b5c924386f9efd2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:BYB35OZFEJZ66JUVOLNCQMVQFQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite Temperature Critical Behavior of Mutual Information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Ann B. Kallin, Matthew B. Hastings, Rajiv R. P. Singh, Roger G. Melko","submitted_at":"2011-01-02T21:00:02Z","abstract_excerpt":"We study mutual information for Renyi entropy of arbitrary index n, in interacting quantum systems at finite-temperature critical points, using high-temperature expansion, quantum Monte Carlo simulations and scaling theory. We find that for n>1, the critical behavior is manifest at two temperatures T_c and n*T_c. For the XXZ model with Ising anisotropy, the coefficient of the area-law has a t*ln(t) singularity, whereas the subleading correction from corners has a logarithmic divergence, with a coefficient related to the exact results of Cardy and Peschel. For T<n*T_c there is a constant term a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.0430","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:25:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"csPkGKKMQrSx0e8HGgltuQXQcdMXJrGFDpnheW94Ct/TPpXz7I2ofeqMB3jQmRLkndboxlSmS+9hf6ut0dn5Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T06:12:41.178511Z"},"content_sha256":"cbef12c24c98141f53da99c53dbade2fe7d3beb7e167cdaaf7288da8ae5d1430","schema_version":"1.0","event_id":"sha256:cbef12c24c98141f53da99c53dbade2fe7d3beb7e167cdaaf7288da8ae5d1430"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BYB35OZFEJZ66JUVOLNCQMVQFQ/bundle.json","state_url":"https://pith.science/pith/BYB35OZFEJZ66JUVOLNCQMVQFQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BYB35OZFEJZ66JUVOLNCQMVQFQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-28T06:12:41Z","links":{"resolver":"https://pith.science/pith/BYB35OZFEJZ66JUVOLNCQMVQFQ","bundle":"https://pith.science/pith/BYB35OZFEJZ66JUVOLNCQMVQFQ/bundle.json","state":"https://pith.science/pith/BYB35OZFEJZ66JUVOLNCQMVQFQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BYB35OZFEJZ66JUVOLNCQMVQFQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BYB35OZFEJZ66JUVOLNCQMVQFQ","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":"519d03762fb87822ab969ed2269ecf6029f66c581b389ff184c8d42726c6ce4f","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-02T21:00:02Z","title_canon_sha256":"9854a998c648ec1611d7a01932be5bc23caea8176a998532591c8168195da48a"},"schema_version":"1.0","source":{"id":"1101.0430","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.0430","created_at":"2026-05-18T04:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1101.0430v2","created_at":"2026-05-18T04:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.0430","created_at":"2026-05-18T04:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"BYB35OZFEJZ6","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BYB35OZFEJZ66JUV","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BYB35OZF","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:cbef12c24c98141f53da99c53dbade2fe7d3beb7e167cdaaf7288da8ae5d1430","target":"graph","created_at":"2026-05-18T04:25:25Z","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 mutual information for Renyi entropy of arbitrary index n, in interacting quantum systems at finite-temperature critical points, using high-temperature expansion, quantum Monte Carlo simulations and scaling theory. We find that for n>1, the critical behavior is manifest at two temperatures T_c and n*T_c. For the XXZ model with Ising anisotropy, the coefficient of the area-law has a t*ln(t) singularity, whereas the subleading correction from corners has a logarithmic divergence, with a coefficient related to the exact results of Cardy and Peschel. For T<n*T_c there is a constant term a","authors_text":"Ann B. Kallin, Matthew B. Hastings, Rajiv R. P. Singh, Roger G. Melko","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-02T21:00:02Z","title":"Finite Temperature Critical Behavior of Mutual Information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.0430","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:cb862d8dd57a098a4234abdbe04bac9d5e733e8451febb530b5c924386f9efd2","target":"record","created_at":"2026-05-18T04:25:25Z","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":"519d03762fb87822ab969ed2269ecf6029f66c581b389ff184c8d42726c6ce4f","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-01-02T21:00:02Z","title_canon_sha256":"9854a998c648ec1611d7a01932be5bc23caea8176a998532591c8168195da48a"},"schema_version":"1.0","source":{"id":"1101.0430","kind":"arxiv","version":2}},"canonical_sha256":"0e03bebb252273ef269572da2832b02c139dcb2969549c17b749d69467674fbe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e03bebb252273ef269572da2832b02c139dcb2969549c17b749d69467674fbe","first_computed_at":"2026-05-18T04:25:25.527731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:25.527731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+Xhg9MzcLocIKp0k4YxQVM9BEOxmPYSSMu+tPDnvNu0jIvzwNMuhnjMBWGeSkw3NNg5TcynEukwb3DI0C98xAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:25.528547Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.0430","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb862d8dd57a098a4234abdbe04bac9d5e733e8451febb530b5c924386f9efd2","sha256:cbef12c24c98141f53da99c53dbade2fe7d3beb7e167cdaaf7288da8ae5d1430"],"state_sha256":"85bd8f92897eda82f166caa7123336b3359d03ff68d3f832c966e4d4cb5fba67"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8vzm7enuAaCryBBg7m94IEtDj+3kpqtLUtgkm6jo4ECoWNZpFJp6iO8fKKEgBWGw0gaKT9z3Re64PcPis07rAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T06:12:41.180380Z","bundle_sha256":"bb671638bb91ff39d8cf25a219734ff52d2c1fef59c14f07c1f658f61c2a3223"}}