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The conformational properties of polymer chains grafted to such a fractal substrate are studied by means of the pruned-enriched Rosenbluth method (PERM). We find estimates for the surface crossover exponent governing the scaling of the adsorption energy in the vicinity of the transition point, \\phi_s^{p_c}=0.425\\pm0.009, and f"},"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":"1202.3086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-02-14T17:01:09Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"276dab7f943194d38434271d352492504d3c9adfffceb136ccc75d79b1bf710c","abstract_canon_sha256":"275a94b1a5b3a29c651104bf2e7fd5a690340f8ab3d956814a349141b4b01ffa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:01.750081Z","signature_b64":"GcbxMshI+2u7hFihSiYVNdPsMQEjGPVOZd2tSy+lkIlmOMeTevABIWUfXfwwQeCs38UKTOGGGAH3wMU+HH7YDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bace69bac7163e5cb66aa11f864b0d72b023da61d8f524dba121d95c28ab368b","last_reissued_at":"2026-05-18T04:00:01.749621Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:01.749621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Polymer adsorption on a fractal substrate: numerical study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.dis-nn","authors_text":"Viktoria Blavatska, Wolfhard Janke","submitted_at":"2012-02-14T17:01:09Z","abstract_excerpt":"We study the adsorption of flexible polymer macromolecules on a percolation cluster, formed by a regular two-dimensional disordered lattice at critical concentration p_c of attractive sites. 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