{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:Z5XVTMH634CLIW6QCBALHE4GT5","short_pith_number":"pith:Z5XVTMH6","schema_version":"1.0","canonical_sha256":"cf6f59b0fedf04b45bd01040b393869f4718701c819c85bb6a5758d91f20e106","source":{"kind":"arxiv","id":"1211.2887","version":2},"attestation_state":"computed","paper":{"title":"Mutual information between thermo-field doubles and disconnected holographic boundaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ian A. Morrison, Matthew M. Roberts","submitted_at":"2012-11-13T04:29:03Z","abstract_excerpt":"We use mutual information as a measure of the entanglement between 'physical' and thermo-field double degrees of freedom in field theories at finite temperature. We compute this \"thermo-mutual information\" in simple toy models: a quantum mechanics two-site spin chain, a two dimensional massless fermion, and a two dimensional holographic system. In holographic systems, the thermo-mutual information is related to minimal surfaces connecting the two disconnected boundaries of an eternal black hole. We derive a number of salient features of this thermo-mutual information, including that it is UV f"},"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":"1211.2887","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-13T04:29:03Z","cross_cats_sorted":[],"title_canon_sha256":"e0b1c42d3eb9e1275049a77f5022367c6243c7e70f06c4a174388c7004071c26","abstract_canon_sha256":"13afad154d8b5bf4f31023a526097026cf494387b5491edcd3b046814dcae5c9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:49.691974Z","signature_b64":"29/R68TzxKwsYbEGjgTZJWg89OEiygqRhnbHjh8/wwB10SGDFUAlFj8An/whEMDC1ibrziMvLeE8T0ur160aBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf6f59b0fedf04b45bd01040b393869f4718701c819c85bb6a5758d91f20e106","last_reissued_at":"2026-05-18T01:18:49.691470Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:49.691470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mutual information between thermo-field doubles and disconnected holographic boundaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ian A. Morrison, Matthew M. Roberts","submitted_at":"2012-11-13T04:29:03Z","abstract_excerpt":"We use mutual information as a measure of the entanglement between 'physical' and thermo-field double degrees of freedom in field theories at finite temperature. We compute this \"thermo-mutual information\" in simple toy models: a quantum mechanics two-site spin chain, a two dimensional massless fermion, and a two dimensional holographic system. In holographic systems, the thermo-mutual information is related to minimal surfaces connecting the two disconnected boundaries of an eternal black hole. We derive a number of salient features of this thermo-mutual information, including that it is UV f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2887","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1211.2887","created_at":"2026-05-18T01:18:49.691528+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.2887v2","created_at":"2026-05-18T01:18:49.691528+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2887","created_at":"2026-05-18T01:18:49.691528+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z5XVTMH634CL","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z5XVTMH634CLIW6Q","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z5XVTMH6","created_at":"2026-05-18T12:27:30.460161+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Z5XVTMH634CLIW6QCBALHE4GT5","json":"https://pith.science/pith/Z5XVTMH634CLIW6QCBALHE4GT5.json","graph_json":"https://pith.science/api/pith-number/Z5XVTMH634CLIW6QCBALHE4GT5/graph.json","events_json":"https://pith.science/api/pith-number/Z5XVTMH634CLIW6QCBALHE4GT5/events.json","paper":"https://pith.science/paper/Z5XVTMH6"},"agent_actions":{"view_html":"https://pith.science/pith/Z5XVTMH634CLIW6QCBALHE4GT5","download_json":"https://pith.science/pith/Z5XVTMH634CLIW6QCBALHE4GT5.json","view_paper":"https://pith.science/paper/Z5XVTMH6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.2887&json=true","fetch_graph":"https://pith.science/api/pith-number/Z5XVTMH634CLIW6QCBALHE4GT5/graph.json","fetch_events":"https://pith.science/api/pith-number/Z5XVTMH634CLIW6QCBALHE4GT5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z5XVTMH634CLIW6QCBALHE4GT5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z5XVTMH634CLIW6QCBALHE4GT5/action/storage_attestation","attest_author":"https://pith.science/pith/Z5XVTMH634CLIW6QCBALHE4GT5/action/author_attestation","sign_citation":"https://pith.science/pith/Z5XVTMH634CLIW6QCBALHE4GT5/action/citation_signature","submit_replication":"https://pith.science/pith/Z5XVTMH634CLIW6QCBALHE4GT5/action/replication_record"}},"created_at":"2026-05-18T01:18:49.691528+00:00","updated_at":"2026-05-18T01:18:49.691528+00:00"}