{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:7SA47SJ3KFT5SW3GIFM66LHWIL","short_pith_number":"pith:7SA47SJ3","schema_version":"1.0","canonical_sha256":"fc81cfc93b5167d95b664159ef2cf642c604a322185752ffd18a6aaf11fdb7df","source":{"kind":"arxiv","id":"1602.00088","version":1},"attestation_state":"computed","paper":{"title":"Special transitions in an O($n$) loop model with an Ising-like constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Henk W. J. Bl\\\"ote, Wenan Guo, Zhe Fu","submitted_at":"2016-01-30T08:21:35Z","abstract_excerpt":"We investigate the O($n$) nonintersecting loop model on the square lattice under the constraint that the loops consist of ninety-degree bends only. The model is governed by the loop weight $n$, a weight $x$ for each vertex of the lattice visited once by a loop, and a weight $z$ for each vertex visited twice by a loop. We explore the $(x,z)$ phase diagram for some values of $n$. For $0<n<1$, the diagram has the same topology as the generic O($n$) phase diagram with $n<2$, with a first-order line when $z$ starts to dominate, and an O($n$)-like transition when $x$ starts to dominate. Both lines m"},"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":"1602.00088","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-01-30T08:21:35Z","cross_cats_sorted":[],"title_canon_sha256":"411c1a3571920214d8b301b135a1d7676bb64b840c5d266a21912fe6857c5db0","abstract_canon_sha256":"27f42cd2f5e3bfc3b4c12602a06a16da7a37735bc2a829614bb6cfbfd5339442"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:17.588216Z","signature_b64":"mTwc+IefBVM9laOvaUxSkcFLDVLfU6ayoJtUmV+FZjNMGFTV9LmV7cMAMw7R1+R7DtTXeRjn8ITNxPNYIRMjDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc81cfc93b5167d95b664159ef2cf642c604a322185752ffd18a6aaf11fdb7df","last_reissued_at":"2026-05-18T01:17:17.587712Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:17.587712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Special transitions in an O($n$) loop model with an Ising-like constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Henk W. J. Bl\\\"ote, Wenan Guo, Zhe Fu","submitted_at":"2016-01-30T08:21:35Z","abstract_excerpt":"We investigate the O($n$) nonintersecting loop model on the square lattice under the constraint that the loops consist of ninety-degree bends only. The model is governed by the loop weight $n$, a weight $x$ for each vertex of the lattice visited once by a loop, and a weight $z$ for each vertex visited twice by a loop. We explore the $(x,z)$ phase diagram for some values of $n$. For $0<n<1$, the diagram has the same topology as the generic O($n$) phase diagram with $n<2$, with a first-order line when $z$ starts to dominate, and an O($n$)-like transition when $x$ starts to dominate. Both lines m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00088","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":""},"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":"1602.00088","created_at":"2026-05-18T01:17:17.587800+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.00088v1","created_at":"2026-05-18T01:17:17.587800+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00088","created_at":"2026-05-18T01:17:17.587800+00:00"},{"alias_kind":"pith_short_12","alias_value":"7SA47SJ3KFT5","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_16","alias_value":"7SA47SJ3KFT5SW3G","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_8","alias_value":"7SA47SJ3","created_at":"2026-05-18T12:30:04.600751+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/7SA47SJ3KFT5SW3GIFM66LHWIL","json":"https://pith.science/pith/7SA47SJ3KFT5SW3GIFM66LHWIL.json","graph_json":"https://pith.science/api/pith-number/7SA47SJ3KFT5SW3GIFM66LHWIL/graph.json","events_json":"https://pith.science/api/pith-number/7SA47SJ3KFT5SW3GIFM66LHWIL/events.json","paper":"https://pith.science/paper/7SA47SJ3"},"agent_actions":{"view_html":"https://pith.science/pith/7SA47SJ3KFT5SW3GIFM66LHWIL","download_json":"https://pith.science/pith/7SA47SJ3KFT5SW3GIFM66LHWIL.json","view_paper":"https://pith.science/paper/7SA47SJ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.00088&json=true","fetch_graph":"https://pith.science/api/pith-number/7SA47SJ3KFT5SW3GIFM66LHWIL/graph.json","fetch_events":"https://pith.science/api/pith-number/7SA47SJ3KFT5SW3GIFM66LHWIL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7SA47SJ3KFT5SW3GIFM66LHWIL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7SA47SJ3KFT5SW3GIFM66LHWIL/action/storage_attestation","attest_author":"https://pith.science/pith/7SA47SJ3KFT5SW3GIFM66LHWIL/action/author_attestation","sign_citation":"https://pith.science/pith/7SA47SJ3KFT5SW3GIFM66LHWIL/action/citation_signature","submit_replication":"https://pith.science/pith/7SA47SJ3KFT5SW3GIFM66LHWIL/action/replication_record"}},"created_at":"2026-05-18T01:17:17.587800+00:00","updated_at":"2026-05-18T01:17:17.587800+00:00"}