{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:LACASRI7U4E2HYM4UYM3Q2ZGV5","short_pith_number":"pith:LACASRI7","schema_version":"1.0","canonical_sha256":"580409451fa709a3e19ca619b86b26af683587504384244badfe7f8fbd7f1325","source":{"kind":"arxiv","id":"cond-mat/0608547","version":1},"attestation_state":"computed","paper":{"title":"Geometric properties of two-dimensional O(n) loop configurations","license":"","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Chengxiang Ding, Henk W.J. Bl\\\"ote, Wenan Guo, Xiaofeng Qian, Youjin Deng","submitted_at":"2006-08-25T03:42:00Z","abstract_excerpt":"We study the fractal geometry of O($n$) loop configurations in two dimensions by means of scaling and a Monte Carlo method, and compare the results with predictions based on the Coulomb gas technique. The Monte Carlo algorithm is applicable to models with noninteger $n$ and uses local updates. Although these updates typically lead to nonlocal modifications of loop connectivities, the number of operations required per update is only of order one. The Monte Carlo algorithm is applied to the O($n$) model for several values of $n$, including noninteger ones. We thus determine scaling exponents tha"},"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":"cond-mat/0608547","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-08-25T03:42:00Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"03c090447ed9140357aaaceb4690ce0d7869dbcb56aa07f2af672c30d8fd8db1","abstract_canon_sha256":"8b278f738a6f3ff30a89b35d36c01071d6da59bbaf15a00c97a5a4078a68a866"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:00:56.627918Z","signature_b64":"dxFSf+KV3YAqT5pPMZZgM8cXwqw59tDrhM93QdaCUGBOA0+hjVDEeUdnKwSFt9pcAoQTFSktUURfoHLKp2EQDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"580409451fa709a3e19ca619b86b26af683587504384244badfe7f8fbd7f1325","last_reissued_at":"2026-07-04T17:00:56.627365Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:00:56.627365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric properties of two-dimensional O(n) loop configurations","license":"","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Chengxiang Ding, Henk W.J. Bl\\\"ote, Wenan Guo, Xiaofeng Qian, Youjin Deng","submitted_at":"2006-08-25T03:42:00Z","abstract_excerpt":"We study the fractal geometry of O($n$) loop configurations in two dimensions by means of scaling and a Monte Carlo method, and compare the results with predictions based on the Coulomb gas technique. The Monte Carlo algorithm is applicable to models with noninteger $n$ and uses local updates. Although these updates typically lead to nonlocal modifications of loop connectivities, the number of operations required per update is only of order one. The Monte Carlo algorithm is applied to the O($n$) model for several values of $n$, including noninteger ones. We thus determine scaling exponents tha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0608547","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0608547/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"cond-mat/0608547","created_at":"2026-07-04T17:00:56.627465+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0608547v1","created_at":"2026-07-04T17:00:56.627465+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0608547","created_at":"2026-07-04T17:00:56.627465+00:00"},{"alias_kind":"pith_short_12","alias_value":"LACASRI7U4E2","created_at":"2026-07-04T17:00:56.627465+00:00"},{"alias_kind":"pith_short_16","alias_value":"LACASRI7U4E2HYM4","created_at":"2026-07-04T17:00:56.627465+00:00"},{"alias_kind":"pith_short_8","alias_value":"LACASRI7","created_at":"2026-07-04T17:00:56.627465+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.12646","citing_title":"Correction-to-scaling exponent for percolation and the Fortuin--Kasteleyn Potts model in two dimensions","ref_index":49,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LACASRI7U4E2HYM4UYM3Q2ZGV5","json":"https://pith.science/pith/LACASRI7U4E2HYM4UYM3Q2ZGV5.json","graph_json":"https://pith.science/api/pith-number/LACASRI7U4E2HYM4UYM3Q2ZGV5/graph.json","events_json":"https://pith.science/api/pith-number/LACASRI7U4E2HYM4UYM3Q2ZGV5/events.json","paper":"https://pith.science/paper/LACASRI7"},"agent_actions":{"view_html":"https://pith.science/pith/LACASRI7U4E2HYM4UYM3Q2ZGV5","download_json":"https://pith.science/pith/LACASRI7U4E2HYM4UYM3Q2ZGV5.json","view_paper":"https://pith.science/paper/LACASRI7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0608547&json=true","fetch_graph":"https://pith.science/api/pith-number/LACASRI7U4E2HYM4UYM3Q2ZGV5/graph.json","fetch_events":"https://pith.science/api/pith-number/LACASRI7U4E2HYM4UYM3Q2ZGV5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LACASRI7U4E2HYM4UYM3Q2ZGV5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LACASRI7U4E2HYM4UYM3Q2ZGV5/action/storage_attestation","attest_author":"https://pith.science/pith/LACASRI7U4E2HYM4UYM3Q2ZGV5/action/author_attestation","sign_citation":"https://pith.science/pith/LACASRI7U4E2HYM4UYM3Q2ZGV5/action/citation_signature","submit_replication":"https://pith.science/pith/LACASRI7U4E2HYM4UYM3Q2ZGV5/action/replication_record"}},"created_at":"2026-07-04T17:00:56.627465+00:00","updated_at":"2026-07-04T17:00:56.627465+00:00"}