{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:J5EGNIO4CHM2SNFO3ETIBKP7QH","short_pith_number":"pith:J5EGNIO4","schema_version":"1.0","canonical_sha256":"4f4866a1dc11d9a934aed92680a9ff81c65c0a080d3385ef17e0129e4b370990","source":{"kind":"arxiv","id":"2506.18475","version":1},"attestation_state":"computed","paper":{"title":"R\\'{e}nyi and Shannon mutual information in critical and decohered critical system","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Ikuo Ichinose, Takahiro Orito, Yoshihito Kuno","submitted_at":"2025-06-23T10:18:53Z","abstract_excerpt":"We investigate a critical many-body system by introducing a R\\'{e}nyi generalized mutual information, connecting between R\\'{e}nyi mutual information and R\\'{e}nyi Shannon mutual information. This R\\'{e}nyi generalized mutual information can offer more experimentally accessible alternative than the conventional entanglement entropy. As a critical many-body state, we focus on the critical transverse-field Ising model (TFIM) described by the Ising conformal field theory (CFT). We show that even if we modify the non-selective projective measurement assumed in R\\'{e}nyi Shannon mutual information "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2506.18475","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-23T10:18:53Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"47d313f6a63fb996a0de2b09e0066a1d5496aa82c8ec6e7759515aefdf260617","abstract_canon_sha256":"02659ea34e28ca6900798b2cd24403f5a0ba659a71d66c6b1a647fc3219d9920"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:25:50.785699Z","signature_b64":"xOIQj8zT990IQJ0gLc3Sy1q7ohia/lNDoATTMhEnG2OF2TnpnOMn2cz3rvqOh4qkmT5mBBxZqmvdOSLTut6RBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f4866a1dc11d9a934aed92680a9ff81c65c0a080d3385ef17e0129e4b370990","last_reissued_at":"2026-07-05T11:25:50.785197Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:25:50.785197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"R\\'{e}nyi and Shannon mutual information in critical and decohered critical system","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Ikuo Ichinose, Takahiro Orito, Yoshihito Kuno","submitted_at":"2025-06-23T10:18:53Z","abstract_excerpt":"We investigate a critical many-body system by introducing a R\\'{e}nyi generalized mutual information, connecting between R\\'{e}nyi mutual information and R\\'{e}nyi Shannon mutual information. This R\\'{e}nyi generalized mutual information can offer more experimentally accessible alternative than the conventional entanglement entropy. As a critical many-body state, we focus on the critical transverse-field Ising model (TFIM) described by the Ising conformal field theory (CFT). We show that even if we modify the non-selective projective measurement assumed in R\\'{e}nyi Shannon mutual information "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.18475","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.18475/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2506.18475","created_at":"2026-07-05T11:25:50.785287+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.18475v1","created_at":"2026-07-05T11:25:50.785287+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.18475","created_at":"2026-07-05T11:25:50.785287+00:00"},{"alias_kind":"pith_short_12","alias_value":"J5EGNIO4CHM2","created_at":"2026-07-05T11:25:50.785287+00:00"},{"alias_kind":"pith_short_16","alias_value":"J5EGNIO4CHM2SNFO","created_at":"2026-07-05T11:25:50.785287+00:00"},{"alias_kind":"pith_short_8","alias_value":"J5EGNIO4","created_at":"2026-07-05T11:25:50.785287+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.17871","citing_title":"Succession of Ising criticality and its threshold in critical quantum Ising model subject to symmetric decoherence","ref_index":16,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/J5EGNIO4CHM2SNFO3ETIBKP7QH","json":"https://pith.science/pith/J5EGNIO4CHM2SNFO3ETIBKP7QH.json","graph_json":"https://pith.science/api/pith-number/J5EGNIO4CHM2SNFO3ETIBKP7QH/graph.json","events_json":"https://pith.science/api/pith-number/J5EGNIO4CHM2SNFO3ETIBKP7QH/events.json","paper":"https://pith.science/paper/J5EGNIO4"},"agent_actions":{"view_html":"https://pith.science/pith/J5EGNIO4CHM2SNFO3ETIBKP7QH","download_json":"https://pith.science/pith/J5EGNIO4CHM2SNFO3ETIBKP7QH.json","view_paper":"https://pith.science/paper/J5EGNIO4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.18475&json=true","fetch_graph":"https://pith.science/api/pith-number/J5EGNIO4CHM2SNFO3ETIBKP7QH/graph.json","fetch_events":"https://pith.science/api/pith-number/J5EGNIO4CHM2SNFO3ETIBKP7QH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J5EGNIO4CHM2SNFO3ETIBKP7QH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J5EGNIO4CHM2SNFO3ETIBKP7QH/action/storage_attestation","attest_author":"https://pith.science/pith/J5EGNIO4CHM2SNFO3ETIBKP7QH/action/author_attestation","sign_citation":"https://pith.science/pith/J5EGNIO4CHM2SNFO3ETIBKP7QH/action/citation_signature","submit_replication":"https://pith.science/pith/J5EGNIO4CHM2SNFO3ETIBKP7QH/action/replication_record"}},"created_at":"2026-07-05T11:25:50.785287+00:00","updated_at":"2026-07-05T11:25:50.785287+00:00"}