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Jacobsen","submitted_at":"2013-06-06T05:32:30Z","abstract_excerpt":"It is widely believed that the scaling limit of self-avoiding walks (SAWs) at the critical temperature is (i) conformally invariant, and (ii) describable by Schramm-Loewner Evolution (SLE) with parameter $\\kappa = 8/3.$ We consider SAWs in a rectangle, which originate at its centre and end when they reach the boundary. We assume that the scaling limit of SAWs is describable by ${\\rm SLE}_\\kappa,$ with the value of $\\kappa$ to be determined. It has previously been shown by Guttmann and Kennedy \\cite{GK13} that, in the scaling limit, the ratio of the probability that a SAW hits the side of the r"},"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":"1306.1299","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-06T05:32:30Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c4cb944dcf95707d120164a8757761612a9da622cf3aa48a53bcda25cf441b30","abstract_canon_sha256":"37af72c729a5509977128384b5e1fc3d38020fc5fc9581ada77e624b5e66a6cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:32.144169Z","signature_b64":"t/0l/QVcmqBQ5uep8xwsk/KGVs5NlOMXdQa/Hr/O5eM7rAjcndJFo33dfED9E98+Rte5kd7mrUC00Rok8QdjDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fe1946372aa64fa28537c398bf16bd583a39e6b56bde70c74a15e2df307d32b","last_reissued_at":"2026-05-18T01:49:32.143627Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:32.143627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A series test of the scaling limit of self-avoiding walks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Anthony J. 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