{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3UO7WBX6R64ONLED233TBXJLZN","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ac9dd06db32c411c930cfc157557aa158b37d360ff0aa6fb3fb44b48e3a24e72","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-10-26T17:28:07Z","title_canon_sha256":"c93e611f096160431b63944f517e119901257c2a72879f7fd7de9d2fa6cdb524"},"schema_version":"1.0","source":{"id":"1510.07558","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07558","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07558v3","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07558","created_at":"2026-05-18T01:01:08Z"},{"alias_kind":"pith_short_12","alias_value":"3UO7WBX6R64O","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3UO7WBX6R64ONLED","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3UO7WBX6","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:9e0f2a3b7f0ab05d3881fb40ad187e4bc8ed8300c623ecc3110cc990bd090e5b","target":"graph","created_at":"2026-05-18T01:01:08Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Recently it has been argued that weighting the writhe of unknotted self-avoiding polygons can be related to possible experiments that turn double stranded DNA. We first solve exactly a directed model and demonstrate that in such a subset of polygons the problem of weighting their writhe is associated with a phase transition. We then analyse simulations using the Wang-Landau algorithm to observe scaling in the fluctuations of the writhe that is compatible with a second-order phase transition in a undirected self-avoiding polygon model. Crucially, we conclude that the transition becomes apparent","authors_text":"Aleksander L Owczarek, Eduardo Dagrosa, Thomas Prellberg","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-10-26T17:28:07Z","title":"Writhe induced phase transition in unknotted self-avoiding polygons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07558","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:af1aec1fdf0045a34e6ff6516f42ff26a645025e3cbdc83b9c06ac9fd1e39eef","target":"record","created_at":"2026-05-18T01:01:08Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ac9dd06db32c411c930cfc157557aa158b37d360ff0aa6fb3fb44b48e3a24e72","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-10-26T17:28:07Z","title_canon_sha256":"c93e611f096160431b63944f517e119901257c2a72879f7fd7de9d2fa6cdb524"},"schema_version":"1.0","source":{"id":"1510.07558","kind":"arxiv","version":3}},"canonical_sha256":"dd1dfb06fe8fb8e6ac83d6f730dd2bcb7b93d298d2beff43da9c71514bd52da7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd1dfb06fe8fb8e6ac83d6f730dd2bcb7b93d298d2beff43da9c71514bd52da7","first_computed_at":"2026-05-18T01:01:08.756245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:08.756245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O5ahpJh54/14r/k/yvzffRc6rDpU+LsY1uh4FHX4+tCd+Dpjm+Sv3Y9a/d6mpL1eTRMPDBJnFSsZvbC/y+5wDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:08.756945Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.07558","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af1aec1fdf0045a34e6ff6516f42ff26a645025e3cbdc83b9c06ac9fd1e39eef","sha256:9e0f2a3b7f0ab05d3881fb40ad187e4bc8ed8300c623ecc3110cc990bd090e5b"],"state_sha256":"6d481d366e068a13af0dc2a369b9df450df0856b65e7bf19f6ab2485a9855ba9"}