{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:HOFSTQF4NI77SZZXKROCUVC2KP","short_pith_number":"pith:HOFSTQF4","schema_version":"1.0","canonical_sha256":"3b8b29c0bc6a3ff96737545c2a545a53cf6ed28f50e7030065fc0fbfd620faac","source":{"kind":"arxiv","id":"1712.08657","version":3},"attestation_state":"computed","paper":{"title":"Two-point boundary correlation functions of dense loop models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alexi Morin-Duchesne, Jesper Lykke Jacobsen","submitted_at":"2017-12-22T21:03:06Z","abstract_excerpt":"We investigate six types of two-point boundary correlation functions in the dense loop model. These are defined as ratios $Z/Z^0$ of partition functions on the $m\\times n$ square lattice, with the boundary condition for $Z$ depending on two points $x$ and $y$. We consider: the insertion of an isolated defect (a) and a pair of defects (b) in a Dirichlet boundary condition, the transition (c) between Dirichlet and Neumann boundary conditions, and the connectivity of clusters (d), loops (e) and boundary segments (f) in a Neumann boundary condition.\n  For the model of critical dense polymers, corr"},"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":"1712.08657","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-12-22T21:03:06Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"5f77dd067175d5f28f0a476d9eb1a04c5c59fc24b6cfc8b451d949f8c7276276","abstract_canon_sha256":"9af80866688975ec7e539b4bb1bdb3169ff8c03f2ac2e804066d96d6ba3928c4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:32.390057Z","signature_b64":"n+HOmfOJhmWqlUTlzesjNeax/F7QrOe+B1Yt1vJkfuNwLp9EITUmIDRsR7Ro0/HkCbeYMfNPzp+kNjE4sQ2oCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b8b29c0bc6a3ff96737545c2a545a53cf6ed28f50e7030065fc0fbfd620faac","last_reissued_at":"2026-05-17T23:57:32.389642Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:32.389642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two-point boundary correlation functions of dense loop models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alexi Morin-Duchesne, Jesper Lykke Jacobsen","submitted_at":"2017-12-22T21:03:06Z","abstract_excerpt":"We investigate six types of two-point boundary correlation functions in the dense loop model. These are defined as ratios $Z/Z^0$ of partition functions on the $m\\times n$ square lattice, with the boundary condition for $Z$ depending on two points $x$ and $y$. We consider: the insertion of an isolated defect (a) and a pair of defects (b) in a Dirichlet boundary condition, the transition (c) between Dirichlet and Neumann boundary conditions, and the connectivity of clusters (d), loops (e) and boundary segments (f) in a Neumann boundary condition.\n  For the model of critical dense polymers, corr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08657","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":"1712.08657","created_at":"2026-05-17T23:57:32.389713+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.08657v3","created_at":"2026-05-17T23:57:32.389713+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.08657","created_at":"2026-05-17T23:57:32.389713+00:00"},{"alias_kind":"pith_short_12","alias_value":"HOFSTQF4NI77","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"HOFSTQF4NI77SZZX","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"HOFSTQF4","created_at":"2026-05-18T12:31:18.294218+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.05499","citing_title":"Logarithmic correlation functions for critical dense polymers on the cylinder","ref_index":40,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HOFSTQF4NI77SZZXKROCUVC2KP","json":"https://pith.science/pith/HOFSTQF4NI77SZZXKROCUVC2KP.json","graph_json":"https://pith.science/api/pith-number/HOFSTQF4NI77SZZXKROCUVC2KP/graph.json","events_json":"https://pith.science/api/pith-number/HOFSTQF4NI77SZZXKROCUVC2KP/events.json","paper":"https://pith.science/paper/HOFSTQF4"},"agent_actions":{"view_html":"https://pith.science/pith/HOFSTQF4NI77SZZXKROCUVC2KP","download_json":"https://pith.science/pith/HOFSTQF4NI77SZZXKROCUVC2KP.json","view_paper":"https://pith.science/paper/HOFSTQF4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.08657&json=true","fetch_graph":"https://pith.science/api/pith-number/HOFSTQF4NI77SZZXKROCUVC2KP/graph.json","fetch_events":"https://pith.science/api/pith-number/HOFSTQF4NI77SZZXKROCUVC2KP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HOFSTQF4NI77SZZXKROCUVC2KP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HOFSTQF4NI77SZZXKROCUVC2KP/action/storage_attestation","attest_author":"https://pith.science/pith/HOFSTQF4NI77SZZXKROCUVC2KP/action/author_attestation","sign_citation":"https://pith.science/pith/HOFSTQF4NI77SZZXKROCUVC2KP/action/citation_signature","submit_replication":"https://pith.science/pith/HOFSTQF4NI77SZZXKROCUVC2KP/action/replication_record"}},"created_at":"2026-05-17T23:57:32.389713+00:00","updated_at":"2026-05-17T23:57:32.389713+00:00"}