{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:QNULK5VZLCLW7B5DXHVL6JDYSY","short_pith_number":"pith:QNULK5VZ","schema_version":"1.0","canonical_sha256":"8368b576b958976f87a3b9eabf247896094504d966296955806603ea2ca8eb26","source":{"kind":"arxiv","id":"1212.4644","version":1},"attestation_state":"computed","paper":{"title":"Mutual Information as a Two-Point Correlation Function in Stochastic Lattice Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Haye Hinrichsen, Ulrich M\\\"uller","submitted_at":"2012-12-19T12:56:10Z","abstract_excerpt":"In statistical physics entropy is usually introduced as a global quantity which expresses the amount of information that would be needed to specify the microscopic configuration of a system. However, for lattice models with infinitely many possible configurations per lattice site it is also meaningful to introduce entropy as a local observable that describes the information content of a single lattice site. Likewise, the mutual information can be interpreted as a two-point correlation function. Studying a particular growth model we demonstrate that the mutual information exhibits scaling prope"},"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":"1212.4644","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-19T12:56:10Z","cross_cats_sorted":[],"title_canon_sha256":"2ebd4c28a56c838794de20a72e57f78501b0aa4371aecc8c8dcadf7dbb7f9b53","abstract_canon_sha256":"424033b092f95ec322b612ff5be34043deb7d928907991d0890932bcb8843b45"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:30.514629Z","signature_b64":"xG8MLyg1mIiaEG53c2Axq+kL1w9nVuS4RPvpCnnYBec6bu/Q3Us2omnsdALq1AUhQyYvd9WvG6ipAnz5Uce4AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8368b576b958976f87a3b9eabf247896094504d966296955806603ea2ca8eb26","last_reissued_at":"2026-05-18T01:52:30.513920Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:30.513920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mutual Information as a Two-Point Correlation Function in Stochastic Lattice Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Haye Hinrichsen, Ulrich M\\\"uller","submitted_at":"2012-12-19T12:56:10Z","abstract_excerpt":"In statistical physics entropy is usually introduced as a global quantity which expresses the amount of information that would be needed to specify the microscopic configuration of a system. However, for lattice models with infinitely many possible configurations per lattice site it is also meaningful to introduce entropy as a local observable that describes the information content of a single lattice site. Likewise, the mutual information can be interpreted as a two-point correlation function. Studying a particular growth model we demonstrate that the mutual information exhibits scaling prope"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4644","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":""},"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":"1212.4644","created_at":"2026-05-18T01:52:30.514026+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.4644v1","created_at":"2026-05-18T01:52:30.514026+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4644","created_at":"2026-05-18T01:52:30.514026+00:00"},{"alias_kind":"pith_short_12","alias_value":"QNULK5VZLCLW","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QNULK5VZLCLW7B5D","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QNULK5VZ","created_at":"2026-05-18T12:27:18.751474+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/QNULK5VZLCLW7B5DXHVL6JDYSY","json":"https://pith.science/pith/QNULK5VZLCLW7B5DXHVL6JDYSY.json","graph_json":"https://pith.science/api/pith-number/QNULK5VZLCLW7B5DXHVL6JDYSY/graph.json","events_json":"https://pith.science/api/pith-number/QNULK5VZLCLW7B5DXHVL6JDYSY/events.json","paper":"https://pith.science/paper/QNULK5VZ"},"agent_actions":{"view_html":"https://pith.science/pith/QNULK5VZLCLW7B5DXHVL6JDYSY","download_json":"https://pith.science/pith/QNULK5VZLCLW7B5DXHVL6JDYSY.json","view_paper":"https://pith.science/paper/QNULK5VZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.4644&json=true","fetch_graph":"https://pith.science/api/pith-number/QNULK5VZLCLW7B5DXHVL6JDYSY/graph.json","fetch_events":"https://pith.science/api/pith-number/QNULK5VZLCLW7B5DXHVL6JDYSY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QNULK5VZLCLW7B5DXHVL6JDYSY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QNULK5VZLCLW7B5DXHVL6JDYSY/action/storage_attestation","attest_author":"https://pith.science/pith/QNULK5VZLCLW7B5DXHVL6JDYSY/action/author_attestation","sign_citation":"https://pith.science/pith/QNULK5VZLCLW7B5DXHVL6JDYSY/action/citation_signature","submit_replication":"https://pith.science/pith/QNULK5VZLCLW7B5DXHVL6JDYSY/action/replication_record"}},"created_at":"2026-05-18T01:52:30.514026+00:00","updated_at":"2026-05-18T01:52:30.514026+00:00"}