{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:LOQJ4LQCBRRIVFOTKBC42AOQ5X","short_pith_number":"pith:LOQJ4LQC","schema_version":"1.0","canonical_sha256":"5ba09e2e020c628a95d35045cd01d0eddf7f7b9501e264ddea9f4c2df21780ca","source":{"kind":"arxiv","id":"1403.1836","version":3},"attestation_state":"computed","paper":{"title":"Correlation function for the Grid-Poisson Euclidean matching on a line and on a circle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Andrea Sportiello, Elena Boniolo, Sergio Caracciolo","submitted_at":"2014-03-07T18:57:57Z","abstract_excerpt":"We compute the two-point correlation function for spin configurations which are obtained by solving the Euclidean matching problem, for one family of points on a grid, and the second family chosen uniformly at random, when the cost depends on a power $p$ of the Euclidean distance. We provide the analytic solution in the thermodynamic limit, in a number of cases ($p>1$ open b.c.\\ and $p=2$ periodic b.c., both at criticality), and analyse numerically other parts of the phase diagram."},"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":"1403.1836","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-03-07T18:57:57Z","cross_cats_sorted":[],"title_canon_sha256":"e24876de0a55eee236c5248c38377c1ee3f9738bc7e63c807fb9fbf564a93a02","abstract_canon_sha256":"1a42f6ef5b8822c75f7400df91fc13e4c47067f7dfcc9559d891b6016ffc832d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:11.885359Z","signature_b64":"epHvtAN1c+gJsT6WpmiSShGzmpT6TT50hCRgEnx368QCxUUMod1XTzoU8xkWq1VohwWhmhbFq1MNyN37t6C4Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ba09e2e020c628a95d35045cd01d0eddf7f7b9501e264ddea9f4c2df21780ca","last_reissued_at":"2026-05-18T02:31:11.884677Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:11.884677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Correlation function for the Grid-Poisson Euclidean matching on a line and on a circle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Andrea Sportiello, Elena Boniolo, Sergio Caracciolo","submitted_at":"2014-03-07T18:57:57Z","abstract_excerpt":"We compute the two-point correlation function for spin configurations which are obtained by solving the Euclidean matching problem, for one family of points on a grid, and the second family chosen uniformly at random, when the cost depends on a power $p$ of the Euclidean distance. We provide the analytic solution in the thermodynamic limit, in a number of cases ($p>1$ open b.c.\\ and $p=2$ periodic b.c., both at criticality), and analyse numerically other parts of the phase diagram."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1836","kind":"arxiv","version":3},"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":"1403.1836","created_at":"2026-05-18T02:31:11.884771+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.1836v3","created_at":"2026-05-18T02:31:11.884771+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1836","created_at":"2026-05-18T02:31:11.884771+00:00"},{"alias_kind":"pith_short_12","alias_value":"LOQJ4LQCBRRI","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"LOQJ4LQCBRRIVFOT","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"LOQJ4LQC","created_at":"2026-05-18T12:28:38.356838+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/LOQJ4LQCBRRIVFOTKBC42AOQ5X","json":"https://pith.science/pith/LOQJ4LQCBRRIVFOTKBC42AOQ5X.json","graph_json":"https://pith.science/api/pith-number/LOQJ4LQCBRRIVFOTKBC42AOQ5X/graph.json","events_json":"https://pith.science/api/pith-number/LOQJ4LQCBRRIVFOTKBC42AOQ5X/events.json","paper":"https://pith.science/paper/LOQJ4LQC"},"agent_actions":{"view_html":"https://pith.science/pith/LOQJ4LQCBRRIVFOTKBC42AOQ5X","download_json":"https://pith.science/pith/LOQJ4LQCBRRIVFOTKBC42AOQ5X.json","view_paper":"https://pith.science/paper/LOQJ4LQC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.1836&json=true","fetch_graph":"https://pith.science/api/pith-number/LOQJ4LQCBRRIVFOTKBC42AOQ5X/graph.json","fetch_events":"https://pith.science/api/pith-number/LOQJ4LQCBRRIVFOTKBC42AOQ5X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LOQJ4LQCBRRIVFOTKBC42AOQ5X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LOQJ4LQCBRRIVFOTKBC42AOQ5X/action/storage_attestation","attest_author":"https://pith.science/pith/LOQJ4LQCBRRIVFOTKBC42AOQ5X/action/author_attestation","sign_citation":"https://pith.science/pith/LOQJ4LQCBRRIVFOTKBC42AOQ5X/action/citation_signature","submit_replication":"https://pith.science/pith/LOQJ4LQCBRRIVFOTKBC42AOQ5X/action/replication_record"}},"created_at":"2026-05-18T02:31:11.884771+00:00","updated_at":"2026-05-18T02:31:11.884771+00:00"}