{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:5REJI2JHPHPENLJMUIBP4XNEG2","short_pith_number":"pith:5REJI2JH","schema_version":"1.0","canonical_sha256":"ec4894692779de46ad2ca202fe5da436abeaa75f4358196dc7508ee894fc855a","source":{"kind":"arxiv","id":"1409.7848","version":2},"attestation_state":"computed","paper":{"title":"Non-contractible loops in the dense O(n) loop model on the cylinder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. M. Rogozhnikov, F. C. Alcaraz, J. G. Brankov, V. B. Priezzhev, V. Rittenberg","submitted_at":"2014-09-27T21:40:19Z","abstract_excerpt":"A lattice model of critical dense polymers $O(0)$ is considered for the finite cylinder geometry. Due to the presence of non-contractible loops with a fixed fugacity $\\xi$, the model is a generalization of the critical dense polymers solved by Pearce, Rasmussen and Villani. We found the free energy for any height $N$ and circumference $L$ of the cylinder. The density $\\rho$ of non-contractible loops is found for $N \\rightarrow \\infty$ and large $L$. The results are compared with those obtained for the anisotropic quantum chain with twisted boundary conditions. Using the latter method we obtain"},"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":"1409.7848","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-09-27T21:40:19Z","cross_cats_sorted":[],"title_canon_sha256":"4cec2fc174ef1a654888339996ae1b24fcdeaeddcf99199ff6a18eabfd75ce51","abstract_canon_sha256":"9e5956370639ccee5c1ec0df1de30adc073a5da20f015f11aee90319299eef85"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:15.318239Z","signature_b64":"VKVofKP4WVD02MKbA9SbLy+WlT+KiG80AbybXeXMb9AB3c3qWMoAjPXhJthC852LJ6dbuJJb0dwkk8FE7w3dBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec4894692779de46ad2ca202fe5da436abeaa75f4358196dc7508ee894fc855a","last_reissued_at":"2026-05-18T02:30:15.317825Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:15.317825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-contractible loops in the dense O(n) loop model on the cylinder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. M. Rogozhnikov, F. C. Alcaraz, J. G. Brankov, V. B. Priezzhev, V. Rittenberg","submitted_at":"2014-09-27T21:40:19Z","abstract_excerpt":"A lattice model of critical dense polymers $O(0)$ is considered for the finite cylinder geometry. Due to the presence of non-contractible loops with a fixed fugacity $\\xi$, the model is a generalization of the critical dense polymers solved by Pearce, Rasmussen and Villani. We found the free energy for any height $N$ and circumference $L$ of the cylinder. The density $\\rho$ of non-contractible loops is found for $N \\rightarrow \\infty$ and large $L$. The results are compared with those obtained for the anisotropic quantum chain with twisted boundary conditions. Using the latter method we obtain"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7848","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":"1409.7848","created_at":"2026-05-18T02:30:15.317888+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.7848v2","created_at":"2026-05-18T02:30:15.317888+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7848","created_at":"2026-05-18T02:30:15.317888+00:00"},{"alias_kind":"pith_short_12","alias_value":"5REJI2JHPHPE","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"5REJI2JHPHPENLJM","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"5REJI2JH","created_at":"2026-05-18T12:28:14.216126+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/5REJI2JHPHPENLJMUIBP4XNEG2","json":"https://pith.science/pith/5REJI2JHPHPENLJMUIBP4XNEG2.json","graph_json":"https://pith.science/api/pith-number/5REJI2JHPHPENLJMUIBP4XNEG2/graph.json","events_json":"https://pith.science/api/pith-number/5REJI2JHPHPENLJMUIBP4XNEG2/events.json","paper":"https://pith.science/paper/5REJI2JH"},"agent_actions":{"view_html":"https://pith.science/pith/5REJI2JHPHPENLJMUIBP4XNEG2","download_json":"https://pith.science/pith/5REJI2JHPHPENLJMUIBP4XNEG2.json","view_paper":"https://pith.science/paper/5REJI2JH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.7848&json=true","fetch_graph":"https://pith.science/api/pith-number/5REJI2JHPHPENLJMUIBP4XNEG2/graph.json","fetch_events":"https://pith.science/api/pith-number/5REJI2JHPHPENLJMUIBP4XNEG2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5REJI2JHPHPENLJMUIBP4XNEG2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5REJI2JHPHPENLJMUIBP4XNEG2/action/storage_attestation","attest_author":"https://pith.science/pith/5REJI2JHPHPENLJMUIBP4XNEG2/action/author_attestation","sign_citation":"https://pith.science/pith/5REJI2JHPHPENLJMUIBP4XNEG2/action/citation_signature","submit_replication":"https://pith.science/pith/5REJI2JHPHPENLJMUIBP4XNEG2/action/replication_record"}},"created_at":"2026-05-18T02:30:15.317888+00:00","updated_at":"2026-05-18T02:30:15.317888+00:00"}